profcollege (5jun21)

git-svn-id: svn://tug.org/texlive/trunk@59480 c570f23f-e606-0410-a88d-b1316a301751

9 files changed, 1333 insertions, 706 deletions

diff --git a/Master/texmf-dist/doc/latex/profcollege/ProfCollege-doc.pdf b/Master/texmf-dist/doc/latex/profcollege/ProfCollege-doc.pdf
index ee0a252f025..778b60dcfe9 100644
--- a/Master/texmf-dist/doc/latex/profcollege/ProfCollege-doc.pdf
+++ b/Master/texmf-dist/doc/latex/profcollege/ProfCollege-doc.pdf
diff --git a/Master/texmf-dist/doc/latex/profcollege/ProfCollege-doc.zip b/Master/texmf-dist/doc/latex/profcollege/ProfCollege-doc.zip
index 4660c7255de..61754d90037 100644
--- a/Master/texmf-dist/doc/latex/profcollege/ProfCollege-doc.zip
+++ b/Master/texmf-dist/doc/latex/profcollege/ProfCollege-doc.zip
diff --git a/Master/texmf-dist/tex/latex/profcollege/PfCEquationComposition2.tex b/Master/texmf-dist/tex/latex/profcollege/PfCEquationComposition2.tex
index 38493f89966..b26d06486ab 100644
--- a/Master/texmf-dist/tex/latex/profcollege/PfCEquationComposition2.tex
+++ b/Master/texmf-dist/tex/latex/profcollege/PfCEquationComposition2.tex
@@ -6,39 +6,43 @@
   \ifx\bla#2\bla%On échange en faisant attention à ne pas boucler : c doit être non vide
     \EquaDeuxComposition[#1]{#4}{#5}{#2}{#3}
   \else%cas ax+b=d
-    \xintifboolexpr{#2=0}{%
-      \xintifboolexpr{#3=#5}{%b=d
+    \xintifboolexpr{#2==0}{%
+      \xintifboolexpr{#3==#5}{%b=d
         L'équation $\num{#3}=\num{#5}$ a une infinité de solutions.}%
       {%b<>d
         L'équation $\num{#3}=\num{#5}$ n'a aucune solution.%
       }%
     }{%ELSE
-      \xintifboolexpr{#3=0}{%ax+b=d
+      \xintifboolexpr{#3==0}{%ax+b=d
         \EquaBase[#1]{#2}{}{}{#5}%
       }{%ax+b=d$ Ici
         \ifboolKV[ClesEquation]{Decomposition}{\colorlet{Ccompo}{\useKV[ClesEquation]{CouleurCompo}}}{}
         \begin{align*}
-          \tikzmark{A-\theNbequa}\xintifboolexpr{#2=1}{}{\num{#2}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#3>0}{+\num{#3}}{-\num{\fpeval{0-#3}}}&=\mathcolor{Ccompo}{\num{#5}}\tikzmark{E-\theNbequa}\\
-          \xintifboolexpr{#2=1}{}{\num{#2}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#3>0}{+\num{#3}}{-\num{\fpeval{0-#3}}}&=\mathcolor{Ccompo}{\num{\fpeval{#5-#3}}\xintifboolexpr{#3>0}{+\num{#3}}{-\num{\fpeval{0-#3}}}}\\
-          \tikzmark{C-\theNbequa}\xdef\Coeffa{#2}\xdef\Coeffb{\fpeval{#5-#3}}\xintifboolexpr{\Coeffa=1}{}{\num{\Coeffa}}\useKV[ClesEquation]{Lettre}&=\num{\Coeffb}\tikzmark{G-\theNbequa}%\\
-          \xintifboolexpr{\Coeffa=1}{}{\\}
+          \tikzmark{A-\theNbequa}\xintifboolexpr{#2==1}{}{\num{#2}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#3>0}{+\num{#3}}{-\num{\fpeval{0-#3}}}&=\mathcolor{Ccompo}{\num{#5}}\tikzmark{E-\theNbequa}\\
+          \xintifboolexpr{#2==1}{}{\num{#2}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#3>0}{+\num{#3}}{-\num{\fpeval{0-#3}}}&=\mathcolor{Ccompo}{\num{\fpeval{#5-#3}}\xintifboolexpr{#3>0}{+\num{#3}}{-\num{\fpeval{0-#3}}}}\\
+          \tikzmark{C-\theNbequa}\xdef\Coeffa{#2}\xdef\Coeffb{\fpeval{#5-#3}}\xintifboolexpr{\Coeffa==1}{}{\num{\Coeffa}}\useKV[ClesEquation]{Lettre}&=\num{\Coeffb}\tikzmark{G-\theNbequa}%\\
+          \xintifboolexpr{\Coeffa==1}{}{\\}
           \ifboolKV[ClesEquation]{Fleches}{%
           \leftcomment{A-\theNbequa}{C-\theNbequa}{A-\theNbequa}{$\xintifboolexpr{#3>0}{-\num{#3}}{+\num{\fpeval{0-#3}}}$}%
           \rightcomment{E-\theNbequa}{G-\theNbequa}{E-\theNbequa}{$\xintifboolexpr{#3>0}{-\num{#3}}{+\num{\fpeval{0-#3}}}$}%
           }{}
-          \xintifboolexpr{\Coeffa=1}{% 
+          \xintifboolexpr{\Coeffa==1}{% 
           }{%\ifnum\cmtd>1
           \tikzmark{D-\theNbequa}\useKV[ClesEquation]{Lettre}&=\frac{\num{\Coeffb}}{\num{\Coeffa}}\tikzmark{H-\theNbequa}%\\
           \ifboolKV[ClesEquation]{Fleches}{%
           \leftcomment{C-\theNbequa}{D-\theNbequa}{A-\theNbequa}{$\div\xintifboolexpr{\Coeffa<0}{(\num{\Coeffa})}{\num{\Coeffa}}$}%
           \rightcomment{G-\theNbequa}{H-\theNbequa}{E-\theNbequa}{$\div\xintifboolexpr{\Coeffa<0}{(\num{\Coeffa})}{\num{\Coeffa}}$}%
-          }{%ICI ?
+          }{%
           \ifboolKV[ClesEquation]{FlecheDiv}{%
           \leftcomment{C-\theNbequa}{D-\theNbequa}{A-\theNbequa}{$\div\xintifboolexpr{\Coeffa<0}{(\num{\Coeffa})}{\num{\Coeffa}}$}%
           \rightcomment{G-\theNbequa}{H-\theNbequa}{E-\theNbequa}{$\div\xintifboolexpr{\Coeffa<0}{(\num{\Coeffa})}{\num{\Coeffa}}$}%
           }{}
           }
           }
+          \ifboolKV[ClesEquation]{Decimal}{%
+          \\\useKV[ClesEquation]{Lettre}&=\num{\fpeval{\Coeffb/\Coeffa}}%
+                                          }{}%
+                                        %%%
           \ifboolKV[ClesEquation]{Entier}{%
           \SSimpliTest{\Coeffb}{\Coeffa}%
           \ifboolKV[ClesEquation]{Simplification}{%
@@ -47,7 +51,7 @@
           }{}
           \ifboolKV[ClesEquation]{Fleches}{\stepcounter{Nbequa}}{\ifboolKV[ClesEquation]{FlecheDiv}{\stepcounter{Nbequa}}{}}
         \end{align*}
-        \ifboolKV[ClesEquation]{Solution}{L'équation $\xintifboolexpr{#2=1}{}{\num{#2}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#3>0}{+\num{#3}}{-\num{\fpeval{0-#3}}}=\num{#5}$ a une unique solution : \opdiv*{\Coeffb}{\Coeffa}{solution}{resteequa}\opcmp{resteequa}{0}$\ifboolKV[ClesEquation]{LettreSol}{\useKV[ClesEquation]{Lettre}=}{}\displaystyle\ifopeq\opexport{solution}{\solution}\num{\solution}\else\ifboolKV[ClesEquation]{Entier}{\SSimplifie{\Coeffb}{\Coeffa}}{\frac{\num{\Coeffb}}{\num{\Coeffa}}}\fi$.
+        \ifboolKV[ClesEquation]{Solution}{L'équation $\xintifboolexpr{#2==1}{}{\num{#2}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#3>0}{+\num{#3}}{-\num{\fpeval{0-#3}}}=\num{#5}$ a une unique solution : \opdiv*{\Coeffb}{\Coeffa}{solution}{resteequa}\opcmp{resteequa}{0}$\ifboolKV[ClesEquation]{LettreSol}{\useKV[ClesEquation]{Lettre}=}{}\displaystyle\ifopeq\opexport{solution}{\solution}\num{\solution}\else\ifboolKV[ClesEquation]{Entier}{\SSimplifie{\Coeffb}{\Coeffa}}{\frac{\num{\Coeffb}}{\num{\Coeffa}}}\fi$.
         }{}
       }
     }
@@ -64,45 +68,50 @@
   \EquaTroisComposition[#1]{#4}{#5}{#2}{}%
   \fi
   \else
-  \xintifboolexpr{#2=0}{%b=cx
+  \xintifboolexpr{#2==0}{%b=cx
     \EquaBase[#1]{#4}{}{}{#3}
   }{%
-    \xintifboolexpr{#4=0}{%ax+b=0
+    \xintifboolexpr{#4==0}{%ax+b=0
       \EquaDeuxComposition[#1]{#2}{#3}{}{0}
     }{%ax+b=cx
-      \xintifboolexpr{#2=#4}{%
-        \xintifboolexpr{#3=0}{%ax=ax
-          L'équation $\xintifboolexpr{#2=1}{}{\num{#2}}\useKV[ClesEquation]{Lettre}=\xintifboolexpr{#4=1}{}{\num{#4}}\useKV[ClesEquation]{Lettre}$ a une infinité de solutions.}%
+      \xintifboolexpr{#2==#4}{%
+        \xintifboolexpr{#3==0}{%ax=ax
+          L'équation $\xintifboolexpr{#2==1}{}{\num{#2}}\useKV[ClesEquation]{Lettre}=\xintifboolexpr{#4==1}{}{\num{#4}}\useKV[ClesEquation]{Lettre}$ a une infinité de solutions.}%
         {%ax+b=ax
-          L'équation $\xintifboolexpr{#2=1}{}{\num{#2}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#3>0}{+\num{#3}}{-\num{\fpeval{0-#3}}}=\xintifboolexpr{#4=1}{}{\num{#4}}\useKV[ClesEquation]{Lettre}$ n'a aucune solution.%
+          L'équation $\xintifboolexpr{#2==1}{}{\num{#2}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#3>0}{+\num{#3}}{-\num{\fpeval{0-#3}}}=\xintifboolexpr{#4==1}{}{\num{#4}}\useKV[ClesEquation]{Lettre}$ n'a aucune solution.%
         }%
       }{%% Cas délicat
         \xintifboolexpr{#2>#4}{%ax+b=cx avec a>c
           \ifboolKV[ClesEquation]{Decomposition}{\colorlet{Ccompo}{\useKV[ClesEquation]{CouleurCompo}}}{}
           \begin{align*}
-            \tikzmark{A-\theNbequa}\mathcolor{Ccompo}{\xintifboolexpr{#2=1}{}{\num{#2}}\useKV[ClesEquation]{Lettre}}\xintifboolexpr{#3>0}{+\num{#3}}{-\num{\fpeval{0-#3}}}&=\xintifboolexpr{#4=1}{}{\num{#4}}\useKV[ClesEquation]{Lettre}\tikzmark{E-\theNbequa}\\
-            \mathcolor{Ccompo}{\num{\fpeval{#2-#4}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#4>0}{+\num{#4}\useKV[ClesEquation]{Lettre}}{-\num{\fpeval{0-#4}}\useKV[ClesEquation]{Lettre}}}\xintifboolexpr{#3>0}{+\num{#3}}{-\num{\fpeval{0-#3}}}&=\xintifboolexpr{#4=1}{}{\num{#4}}\useKV[ClesEquation]{Lettre}\\
-            \tikzmark{B-\theNbequa}\xdef\Coeffa{\fpeval{#2-#4}}\xintifboolexpr{\Coeffa=1}{}{\num{\Coeffa}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#3>0}{+\num{#3}}{-\num{\fpeval{0-#3}}}&=\mathcolor{Ccompo}{0}\tikzmark{F-\theNbequa}\\
-            \xintifboolexpr{\Coeffa=1}{}{\num{\Coeffa}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#3>0}{+\num{#3}}{-\num{\fpeval{0-#3}}}&=\mathcolor{Ccompo}{\num{\fpeval{0-#3}}\xintifboolexpr{#3>0}{+\num{#3}}{-\num{\fpeval{0-#3}}}}\tikzmark{F-\theNbequa}\\
-            \tikzmark{C-\theNbequa}\xdef\Coeffb{\fpeval{0-#3}}\xintifboolexpr{\Coeffa=1}{}{\num{\Coeffa}}\useKV[ClesEquation]{Lettre}&=\num{\Coeffb}\tikzmark{G-\theNbequa}%\\
-            \xintifboolexpr{\Coeffa=1}{}{\\}
+            \tikzmark{A-\theNbequa}\mathcolor{Ccompo}{\xintifboolexpr{#2==1}{}{\num{#2}}\useKV[ClesEquation]{Lettre}}\xintifboolexpr{#3==0}{}{\xintifboolexpr{#3>0}{+\num{#3}}{-\num{\fpeval{0-#3}}}}&=\xintifboolexpr{#4==1}{}{\num{#4}}\useKV[ClesEquation]{Lettre}\tikzmark{E-\theNbequa}\\
+            \mathcolor{Ccompo}{\num{\fpeval{#2-#4}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#4>0}{+\num{#4}\useKV[ClesEquation]{Lettre}}{-\num{\fpeval{0-#4}}\useKV[ClesEquation]{Lettre}}}\xintifboolexpr{#3==0}{}{\xintifboolexpr{#3>0}{+\num{#3}}{-\num{\fpeval{0-#3}}}}&=\xintifboolexpr{#4==1}{}{\num{#4}}\useKV[ClesEquation]{Lettre}\\
+            \tikzmark{B-\theNbequa}\xdef\Coeffa{\fpeval{#2-#4}}\xintifboolexpr{\Coeffa==1}{}{\num{\Coeffa}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#3==0}{}{\xintifboolexpr{#3>0}{+\num{#3}}{-\num{\fpeval{0-#3}}}}&=0\tikzmark{F-\theNbequa}%\mathcolor{Ccompo}{0}\tikzmark{F-\theNbequa}%\\
+            \xintifboolexpr{#3==0}{}{\\
+            \xintifboolexpr{\Coeffa==1}{}{\num{\Coeffa}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#3>0}{+\num{#3}}{-\num{\fpeval{0-#3}}}&=\mathcolor{Ccompo}{\num{\fpeval{0-#3}}\xintifboolexpr{#3>0}{+\num{#3}}{-\num{\fpeval{0-#3}}}}\tikzmark{F-\theNbequa}\\
+            \tikzmark{C-\theNbequa}\xdef\Coeffb{\fpeval{0-#3}}\xintifboolexpr{\Coeffa==1}{}{\num{\Coeffa}}\useKV[ClesEquation]{Lettre}&=\num{\Coeffb}\tikzmark{G-\theNbequa}%\\
+            \xintifboolexpr{\Coeffa==1}{}{\\}
             \ifboolKV[ClesEquation]{Fleches}{%
             \leftcomment{A-\theNbequa}{B-\theNbequa}{A-\theNbequa}{$\xintifboolexpr{#4>0}{-\num{#4}}{+\num{\fpeval{0-#4}}}\useKV[ClesEquation]{Lettre}$}
             \rightcomment{E-\theNbequa}{F-\theNbequa}{E-\theNbequa}{$\xintifboolexpr{#4>0}{-\num{#4}}{+\num{\fpeval{0-#4}}}\useKV[ClesEquation]{Lettre}$}
             \leftcomment{B-\theNbequa}{C-\theNbequa}{A-\theNbequa}{$\xintifboolexpr{#3>0}{-\num{#3}}{+\num{\fpeval{0-#3}}}$}%
             \rightcomment{F-\theNbequa}{G-\theNbequa}{E-\theNbequa}{$\xintifboolexpr{#3>0}{-\num{#3}}{+\num{\fpeval{0-#3}}}$}%
             }{}
-            \xintifboolexpr{\Coeffa=1}{}{%\ifnum\cmtd>1
+            \xintifboolexpr{\Coeffa==1}{}{%\ifnum\cmtd>1
             \tikzmark{D-\theNbequa}\useKV[ClesEquation]{Lettre}&=\frac{\num{\Coeffb}}{\num{\Coeffa}}\tikzmark{H-\theNbequa}%\\
             \ifboolKV[ClesEquation]{Fleches}{%
             \leftcomment{C-\theNbequa}{D-\theNbequa}{A-\theNbequa}{$\div\xintifboolexpr{\Coeffa<0}{(\num{\Coeffa})}{\num{\Coeffa}}$}%
-            \rightcomment{G-\theNbequa}{H-\theNbequa}{E-\theNbequa}{$\div\xintifboolexpr{\Coeffa<0}{(\num{\Coeffa})}{\num{\Coeffa}}$}%            
+            \rightcomment{G-\theNbequa}{H-\theNbequa}{E-\theNbequa}{$\div\xintifboolexpr{\Coeffa<0}{(\num{\Coeffa})}{\num{\Coeffa}}$}%
             }{
             \ifboolKV[ClesEquation]{FlecheDiv}{%
             \leftcomment{C-\theNbequa}{D-\theNbequa}{A-\theNbequa}{$\div\xintifboolexpr{\Coeffa<0}{(\num{\Coeffa})}{\num{\Coeffa}}$}%
-            \rightcomment{G-\theNbequa}{H-\theNbequa}{E-\theNbequa}{$\div\xintifboolexpr{\Coeffa<0}{(\num{\Coeffa})}{\num{\Coeffa}}$}%                 
+            \rightcomment{G-\theNbequa}{H-\theNbequa}{E-\theNbequa}{$\div\xintifboolexpr{\Coeffa<0}{(\num{\Coeffa})}{\num{\Coeffa}}$}%
             }{}
             }
+            \ifboolKV[ClesEquation]{Decimal}{%
+            \\\useKV[ClesEquation]{Lettre}&=\num{\fpeval{\Coeffb/\Coeffa}}%
+                                        }{}%
+                                        %%%
             \ifboolKV[ClesEquation]{Entier}{%
             \SSimpliTest{\Coeffb}{\Coeffa}%
             \ifboolKV[ClesEquation]{Simplification}{%
@@ -111,30 +120,35 @@
             }{}
             }
             \ifboolKV[ClesEquation]{Fleches}{\stepcounter{Nbequa}}{\ifboolKV[ClesEquation]{FlecheDiv}{\stepcounter{Nbequa}}{}}
+            }
           \end{align*}
-          \ifboolKV[ClesEquation]{Solution}{L'équation $\xintifboolexpr{#2=1}{}{\num{#2}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#3>0}{+\num{#3}}{-\num{\fpeval{0-#3}}}=\xintifboolexpr{#4=1}{}{\num{#4}}\useKV[ClesEquation]{Lettre}$ a une unique solution : \opdiv*{\Coeffb}{\Coeffa}{solution}{resteequa}\opcmp{resteequa}{0}$\ifboolKV[ClesEquation]{LettreSol}{\useKV[ClesEquation]{Lettre}=}{}\displaystyle\ifopeq\opexport{solution}{\solution}\num{\solution}\else\ifboolKV[ClesEquation]{Entier}{\SSimplifie{\Coeffb}{\Coeffa}}{\frac{\num{\Coeffb}}{\num{\Coeffa}}}\fi$.}{}
-        }{%ax+b=cx+d avec a<c              % Autre cas délicat
+          \ifboolKV[ClesEquation]{Solution}{L'équation $\xintifboolexpr{#2==1}{}{\num{#2}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#3>0}{+\num{#3}}{-\num{\fpeval{0-#3}}}=\xintifboolexpr{#4==1}{}{\num{#4}}\useKV[ClesEquation]{Lettre}$ a une unique solution : \opdiv*{\Coeffb}{\Coeffa}{solution}{resteequa}\opcmp{resteequa}{0}$\ifboolKV[ClesEquation]{LettreSol}{\useKV[ClesEquation]{Lettre}=}{}\displaystyle\ifopeq\opexport{solution}{\solution}\num{\solution}\else\ifboolKV[ClesEquation]{Entier}{\SSimplifie{\Coeffb}{\Coeffa}}{\frac{\num{\Coeffb}}{\num{\Coeffa}}}\fi$.}{}
+        }{%ax+b=cx avec a<c              % Autre cas délicat
           \ifboolKV[ClesEquation]{Decomposition}{\colorlet{Ccompo}{\useKV[ClesEquation]{CouleurCompo}}}{}
           \begin{align*}%
-            \tikzmark{A-\theNbequa}\xintifboolexpr{#2=1}{}{\num{#2}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#3>0}{+\num{#3}}{-\num{\fpeval{0-#3}}}&=\mathcolor{Ccompo}{\xintifboolexpr{#4=1}{}{\num{#4}}\useKV[ClesEquation]{Lettre}}\tikzmark{E-\theNbequa}\\
-            \xintifboolexpr{#2=1}{}{\num{#2}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#3>0}{+\num{#3}}{-\num{\fpeval{0-#3}}}&=\mathcolor{Ccompo}{\num{\fpeval{#4-#2}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#2>0}{+\num{#2}\useKV[ClesEquation]{Lettre}}{-\num{\fpeval{0-#2}}\useKV[ClesEquation]{Lettre}}}\\
-            \tikzmark{B-\theNbequa}\xdef\Coeffb{#3}\xdef\Coeffa{\fpeval{#4-#2}}\xintifboolexpr{#3>0}{\num{#3}}{-\num{\fpeval{0-#3}}}&=\xintifboolexpr{\Coeffa=1}{}{\num{\Coeffa}}\useKV[ClesEquation]{Lettre}\tikzmark{F-\theNbequa}
-                                                                                                                                      \xintifboolexpr{\Coeffa=1}{}{\\}
+            \tikzmark{A-\theNbequa}\xintifboolexpr{#2==1}{}{\num{#2}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#3>0}{+\num{#3}}{-\num{\fpeval{0-#3}}}&=\mathcolor{Ccompo}{\xintifboolexpr{#4==1}{}{\num{#4}}\useKV[ClesEquation]{Lettre}}\tikzmark{E-\theNbequa}\\
+            \xintifboolexpr{#2==1}{}{\num{#2}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#3>0}{+\num{#3}}{-\num{\fpeval{0-#3}}}&=\mathcolor{Ccompo}{\num{\fpeval{#4-#2}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#2>0}{+\num{#2}\useKV[ClesEquation]{Lettre}}{-\num{\fpeval{0-#2}}\useKV[ClesEquation]{Lettre}}}\\
+            \tikzmark{B-\theNbequa}\xdef\Coeffb{#3}\xdef\Coeffa{\fpeval{#4-#2}}\xintifboolexpr{#3>0}{\num{#3}}{-\num{\fpeval{0-#3}}}&=\xintifboolexpr{\Coeffa==1}{}{\num{\Coeffa}}\useKV[ClesEquation]{Lettre}\tikzmark{F-\theNbequa}
+                                                                                                                                      \xintifboolexpr{\Coeffa==1}{}{\\}
             \ifboolKV[ClesEquation]{Fleches}{%
             \leftcomment{A-\theNbequa}{B-\theNbequa}{A-\theNbequa}{$\xintifboolexpr{#2>0}{-\num{#2}}{+\num{\fpeval{0-#2}}}\useKV[ClesEquation]{Lettre}$}
             \rightcomment{E-\theNbequa}{F-\theNbequa}{E-\theNbequa}{$\xintifboolexpr{#2>0}{-\num{#2}}{+\num{\fpeval{0-#2}}}\useKV[ClesEquation]{Lettre}$}
             }{}
-            \xintifboolexpr{\Coeffa=1}{}{%\ifnum\cmtd>1
+            \xintifboolexpr{\Coeffa==1}{}{%\ifnum\cmtd>1
             \tikzmark{D-\theNbequa}\frac{\num{\Coeffb}}{\num{\Coeffa}}&=\useKV[ClesEquation]{Lettre}\tikzmark{H-\theNbequa}%\\
             \ifboolKV[ClesEquation]{Fleches}{%
             \leftcomment{B-\theNbequa}{D-\theNbequa}{A-\theNbequa}{$\div\xintifboolexpr{\Coeffa<0}{(\num{\Coeffa})}{\num{\Coeffa}}$}%
-            \rightcomment{F-\theNbequa}{H-\theNbequa}{E-\theNbequa}{$\div\xintifboolexpr{\Coeffa<0}{(\num{\Coeffa})}{\num{\Coeffa}}$}%            
+            \rightcomment{F-\theNbequa}{H-\theNbequa}{E-\theNbequa}{$\div\xintifboolexpr{\Coeffa<0}{(\num{\Coeffa})}{\num{\Coeffa}}$}%
             }{
             \ifboolKV[ClesEquation]{FlecheDiv}{%
             \leftcomment{B-\theNbequa}{D-\theNbequa}{A-\theNbequa}{$\div\xintifboolexpr{\Coeffa<0}{(\num{\Coeffa})}{\num{\Coeffa}}$}%
-            \rightcomment{F-\theNbequa}{H-\theNbequa}{E-\theNbequa}{$\div\xintifboolexpr{\Coeffa<0}{(\num{\Coeffa})}{\num{\Coeffa}}$}%                 
+            \rightcomment{F-\theNbequa}{H-\theNbequa}{E-\theNbequa}{$\div\xintifboolexpr{\Coeffa<0}{(\num{\Coeffa})}{\num{\Coeffa}}$}%
             }{}
             }
+            \ifboolKV[ClesEquation]{Decimal}{%
+            \\\num{\fpeval{\Coeffb/\Coeffa}}&=\useKV[ClesEquation]{Lettre}%
+                                            }{}%
+                                            %%% 
             \ifboolKV[ClesEquation]{Entier}{%
             \SSimpliTest{\Coeffb}{\Coeffa}%
             \ifboolKV[ClesEquation]{Simplification}{%
@@ -144,7 +158,7 @@
             }
             \ifboolKV[ClesEquation]{Fleches}{\stepcounter{Nbequa}}{\ifboolKV[ClesEquation]{FlecheDiv}{\stepcounter{Nbequa}}{}}
           \end{align*}
-          \ifboolKV[ClesEquation]{Solution}{L'équation $\xintifboolexpr{#2=1}{}{\num{#2}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#3>0}{+\num{#3}}{-\num{\fpeval{0-#3}}}=\xintifboolexpr{#4=1}{}{\num{#4}}\useKV[ClesEquation]{Lettre}$ a une unique solution : \opdiv*{\Coeffb}{\Coeffa}{solution}{resteequa}\opcmp{resteequa}{0}$\ifboolKV[ClesEquation]{LettreSol}{\useKV[ClesEquation]{Lettre}=}{}\displaystyle\ifopeq\opexport{solution}{\solution}\num{\solution}\else\ifboolKV[ClesEquation]{Entier}{\SSimplifie{\Coeffb}{\Coeffa}}{\frac{\num{\Coeffb}}{\num{\Coeffa}}}\fi$.}{}%
+          \ifboolKV[ClesEquation]{Solution}{L'équation $\xintifboolexpr{#2==1}{}{\num{#2}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#3>0}{+\num{#3}}{-\num{\fpeval{0-#3}}}=\xintifboolexpr{#4==1}{}{\num{#4}}\useKV[ClesEquation]{Lettre}$ a une unique solution : \opdiv*{\Coeffb}{\Coeffa}{solution}{resteequa}\opcmp{resteequa}{0}$\ifboolKV[ClesEquation]{LettreSol}{\useKV[ClesEquation]{Lettre}=}{}\displaystyle\ifopeq\opexport{solution}{\solution}\num{\solution}\else\ifboolKV[ClesEquation]{Entier}{\SSimplifie{\Coeffb}{\Coeffa}}{\frac{\num{\Coeffb}}{\num{\Coeffa}}}\fi$.}{}%
         }%
       }%
     }%
@@ -152,13 +166,12 @@
   \fi
 }%
 
-
 \newcommand{\ResolEquationComposition}[5][]{%
   \useKVdefault[ClesEquation]%
   \setKV[ClesEquation]{#1}%
-  \xintifboolexpr{#2=0}{%
-    \xintifboolexpr{#4=0}{%
-      \xintifboolexpr{#3=#5}{%b=d
+  \xintifboolexpr{#2==0}{%
+    \xintifboolexpr{#4==0}{%
+      \xintifboolexpr{#3==#5}{%b=d
         L'équation $\num{#3}=\num{#5}$ a une infinité de solutions.}%
       {%b<>d
         L'équation $\num{#3}=\num{#5}$ n'a aucune solution.%
@@ -168,56 +181,61 @@
       \EquaDeuxComposition[#1]{#4}{#5}{#2}{#3}%
     }%
   }{%
-    \xintifboolexpr{#4=0}{%ax+b=0x+d
+    \xintifboolexpr{#4==0}{%ax+b=0x+d
       \EquaDeuxComposition[#1]{#2}{#3}{}{#5}%
     }
     {%ax+b=cx+d$
-      \xintifboolexpr{#3=0}{%
-        \xintifboolexpr{#5=0}{%ax=cx
+      \xintifboolexpr{#3==0}{%
+        \xintifboolexpr{#5==0}{%ax=cx
           \EquaTroisComposition[#1]{#2}{0}{#4}{}%
         }%
         {%ax=cx+d
           \EquaTroisComposition[#1]{#4}{#5}{#2}{}%
         }%
       }%
-      {\xintifboolexpr{#5=0}{%ax+b=cx
+      {\xintifboolexpr{#5==0}{%ax+b=cx
           \EquaTroisComposition[#1]{#2}{#3}{#4}{}%
         }%
         {%ax+b=cx+d -- ici
-          \xintifboolexpr{#2=#4}{%
-            \xintifboolexpr{#3=#5}{%b=d
-              L'équation $\xintifboolexpr{#2=1}{}{\num{#2}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#3>0}{+\num{#3}}{-\num{\fpeval{0-#3}}}=\xintifboolexpr{#4=1}{}{\num{#4}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#5>0}{+\num{#5}}{-\num{\fpeval{0-#5}}}$ a une infinité de solutions.}%
+          \xintifboolexpr{#2==#4}{%
+            \xintifboolexpr{#3==#5}{%b=d
+              L'équation $\xintifboolexpr{#2==1}{}{\num{#2}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#3>0}{+\num{#3}}{-\num{\fpeval{0-#3}}}=\xintifboolexpr{#4==1}{}{\num{#4}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#5>0}{+\num{#5}}{-\num{\fpeval{0-#5}}}$ a une infinité de solutions.}%
             {%b<>d
-              L'équation $\xintifboolexpr{#2=1}{}{\num{#2}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#3>0}{+\num{#3}}{-\num{\fpeval{0-#3}}}=\xintifboolexpr{#4=1}{}{\num{#4}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#5>0}{+\num{#5}}{-\num{\fpeval{0-#5}}}$ n'a aucune solution.%
+              L'équation $\xintifboolexpr{#2==1}{}{\num{#2}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#3>0}{+\num{#3}}{-\num{\fpeval{0-#3}}}=\xintifboolexpr{#4==1}{}{\num{#4}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#5>0}{+\num{#5}}{-\num{\fpeval{0-#5}}}$ n'a aucune solution.%
             }%
           }{
             %% Cas délicat
             \xintifboolexpr{#2>#4}{%ax+b=cx+d avec a>c
               \ifboolKV[ClesEquation]{Decomposition}{\colorlet{Ccompo}{\useKV[ClesEquation]{CouleurCompo}}}{}
               \begin{align*}
-                \tikzmark{A-\theNbequa}\mathcolor{Ccompo}{\xintifboolexpr{#2=1}{}{\num{#2}}\useKV[ClesEquation]{Lettre}}\xintifboolexpr{#3>0}{+\num{#3}}{-\num{\fpeval{0-#3}}}&=\xintifboolexpr{#4=1}{}{\num{#4}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#5>0}{+\num{#5}}{-\num{\fpeval{0-#5}}}\tikzmark{E-\theNbequa}\\
-                \mathcolor{Ccompo}{\num{\fpeval{#2-#4}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#4>0}{+\num{#4}\useKV[ClesEquation]{Lettre}}{-\num{\fpeval{0-#4}}\useKV[ClesEquation]{Lettre}}}\xintifboolexpr{#3>0}{+\num{#3}}{-\num{\fpeval{0-#3}}}&=\xintifboolexpr{#4=1}{}{\num{#4}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#5>0}{+\num{#5}}{-\num{\fpeval{0-#5}}}\\
-                \tikzmark{B-\theNbequa}\xdef\Coeffa{\fpeval{#2-#4}}\xintifboolexpr{\Coeffa=1}{}{\num{\Coeffa}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#3>0}{+\num{#3}}{-\num{\fpeval{0-#3}}}&=\mathcolor{Ccompo}{\num{#5}}\tikzmark{F-\theNbequa}\\
-                \xintifboolexpr{\Coeffa=1}{}{\num{\Coeffa}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#3>0}{+\num{#3}}{-\num{\fpeval{0-#3}}}&=\mathcolor{Ccompo}{\num{\fpeval{#5-#3}}\xintifboolexpr{#3>0}{+\num{#3}}{-\num{\fpeval{0-#3}}}}\\
-                \tikzmark{C-\theNbequa}\xdef\Coeffb{\fpeval{#5-#3}}\xintifboolexpr{\Coeffa=1}{}{\num{\Coeffa}}\useKV[ClesEquation]{Lettre}&=\num{\Coeffb}\tikzmark{G-\theNbequa}%\\
-                \xintifboolexpr{\Coeffa=1}{}{\\}
+                \tikzmark{A-\theNbequa}\mathcolor{Ccompo}{\xintifboolexpr{#2==1}{}{\num{#2}}\useKV[ClesEquation]{Lettre}}\xintifboolexpr{#3>0}{+\num{#3}}{-\num{\fpeval{0-#3}}}&=\xintifboolexpr{#4==1}{}{\num{#4}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#5>0}{+\num{#5}}{-\num{\fpeval{0-#5}}}\tikzmark{E-\theNbequa}\\
+                \mathcolor{Ccompo}{\num{\fpeval{#2-#4}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#4>0}{+\num{#4}\useKV[ClesEquation]{Lettre}}{-\num{\fpeval{0-#4}}\useKV[ClesEquation]{Lettre}}}\xintifboolexpr{#3>0}{+\num{#3}}{-\num{\fpeval{0-#3}}}&=\xintifboolexpr{#4==1}{}{\num{#4}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#5>0}{+\num{#5}}{-\num{\fpeval{0-#5}}}\\
+                \tikzmark{B-\theNbequa}\xdef\Coeffa{\fpeval{#2-#4}}\xintifboolexpr{\Coeffa==1}{}{\num{\Coeffa}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#3>0}{+\num{#3}}{-\num{\fpeval{0-#3}}}&=\mathcolor{Ccompo}{\num{#5}}\tikzmark{F-\theNbequa}\\
+                \xintifboolexpr{\Coeffa==1}{}{\num{\Coeffa}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#3>0}{+\num{#3}}{-\num{\fpeval{0-#3}}}&=\mathcolor{Ccompo}{\num{\fpeval{#5-#3}}\xintifboolexpr{#3>0}{+\num{#3}}{-\num{\fpeval{0-#3}}}}\\
+                \tikzmark{C-\theNbequa}\xdef\Coeffb{\fpeval{#5-#3}}\xintifboolexpr{\Coeffa==1}{}{\num{\Coeffa}}\useKV[ClesEquation]{Lettre}&=\num{\Coeffb}\tikzmark{G-\theNbequa}%\\
+                \xintifboolexpr{\Coeffa==1}{}{\\}
                 \ifboolKV[ClesEquation]{Fleches}{%
                 \leftcomment{A-\theNbequa}{B-\theNbequa}{A-\theNbequa}{$\xintifboolexpr{#4>0}{-\num{#4}}{+\num{\fpeval{0-#4}}}\useKV[ClesEquation]{Lettre}$}
                 \rightcomment{E-\theNbequa}{F-\theNbequa}{E-\theNbequa}{$\xintifboolexpr{#4>0}{-\num{#4}}{+\num{\fpeval{0-#4}}}\useKV[ClesEquation]{Lettre}$}
                 \leftcomment{B-\theNbequa}{C-\theNbequa}{A-\theNbequa}{$\xintifboolexpr{#3>0}{-\num{#3}}{+\num{\fpeval{0-#3}}}$}%
                 \rightcomment{F-\theNbequa}{G-\theNbequa}{E-\theNbequa}{$\xintifboolexpr{#3>0}{-\num{#3}}{+\num{\fpeval{0-#3}}}$}%
                 }{}
-                \xintifboolexpr{\Coeffa=1}{}{%\ifnum\cmtd>1
+                \xintifboolexpr{\Coeffa==1}{}{%\ifnum\cmtd>1
                 \tikzmark{D-\theNbequa}\useKV[ClesEquation]{Lettre}&=\frac{\num{\Coeffb}}{\num{\Coeffa}}\tikzmark{H-\theNbequa}%\\
                 \ifboolKV[ClesEquation]{Fleches}{%
                 \leftcomment{C-\theNbequa}{D-\theNbequa}{A-\theNbequa}{$\div\xintifboolexpr{\Coeffa<0}{(\num{\Coeffa})}{\num{\Coeffa}}$}%
-                \rightcomment{G-\theNbequa}{H-\theNbequa}{E-\theNbequa}{$\div\xintifboolexpr{\Coeffa<0}{(\num{\Coeffa})}{\num{\Coeffa}}$}%            
+                \rightcomment{G-\theNbequa}{H-\theNbequa}{E-\theNbequa}{$\div\xintifboolexpr{\Coeffa<0}{(\num{\Coeffa})}{\num{\Coeffa}}$}%
                 }{
                 \ifboolKV[ClesEquation]{FlecheDiv}{%
                 \leftcomment{C-\theNbequa}{D-\theNbequa}{A-\theNbequa}{$\div\xintifboolexpr{\Coeffa<0}{(\num{\Coeffa})}{\num{\Coeffa}}$}%
-                \rightcomment{G-\theNbequa}{H-\theNbequa}{E-\theNbequa}{$\div\xintifboolexpr{\Coeffa<0}{(\num{\Coeffa})}{\num{\Coeffa}}$}%                 
+                \rightcomment{G-\theNbequa}{H-\theNbequa}{E-\theNbequa}{$\div\xintifboolexpr{\Coeffa<0}{(\num{\Coeffa})}{\num{\Coeffa}}$}%
                 }{}
                 }
+                %% decimal
+                \ifboolKV[ClesEquation]{Decimal}{%
+                \\\useKV[ClesEquation]{Lettre}&=\num{\fpeval{\Coeffb/\Coeffa}}%
+                                        }{}%
+                                        %%%
                 \ifboolKV[ClesEquation]{Entier}{%
                 \SSimpliTest{\Coeffb}{\Coeffa}%
                 \ifboolKV[ClesEquation]{Simplification}{%
@@ -227,34 +245,39 @@
                 }
                 \ifboolKV[ClesEquation]{Fleches}{\stepcounter{Nbequa}}{\ifboolKV[ClesEquation]{FlecheDiv}{\stepcounter{Nbequa}}{}}
               \end{align*}
-              \ifboolKV[ClesEquation]{Solution}{L'équation $\xintifboolexpr{#2=1}{}{\num{#2}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#3>0}{+\num{#3}}{-\num{\fpeval{0-#3}}}=\xintifboolexpr{#4=1}{}{\num{#4}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#5>0}{+\num{#5}}{-\num{\fpeval{0-#5}}}$ a une unique solution : \opdiv*{\Coeffb}{\Coeffa}{solution}{resteequa}\opcmp{resteequa}{0}$\ifboolKV[ClesEquation]{LettreSol}{\useKV[ClesEquation]{Lettre}=}{}\displaystyle\ifopeq\opexport{solution}{\solution}\num{\solution}\else\ifboolKV[ClesEquation]{Entier}{\SSimplifie{\Coeffb}{\Coeffa}}{\frac{\num{\Coeffb}}{\num{\Coeffa}}}\fi$.%
+              \ifboolKV[ClesEquation]{Solution}{L'équation $\xintifboolexpr{#2==1}{}{\num{#2}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#3>0}{+\num{#3}}{-\num{\fpeval{0-#3}}}=\xintifboolexpr{#4==1}{}{\num{#4}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#5>0}{+\num{#5}}{-\num{\fpeval{0-#5}}}$ a une unique solution : \opdiv*{\Coeffb}{\Coeffa}{solution}{resteequa}\opcmp{resteequa}{0}$\ifboolKV[ClesEquation]{LettreSol}{\useKV[ClesEquation]{Lettre}=}{}\displaystyle\ifopeq\opexport{solution}{\solution}\num{\solution}\else\ifboolKV[ClesEquation]{Entier}{\SSimplifie{\Coeffb}{\Coeffa}}{\frac{\num{\Coeffb}}{\num{\Coeffa}}}\fi$.%
               }{}
             }{%ax+b=cx+d avec a<c              % Autre cas délicat
               \ifboolKV[ClesEquation]{Decomposition}{\colorlet{Ccompo}{\useKV[ClesEquation]{CouleurCompo}}}{}%
               \begin{align*}%
-                \tikzmark{A-\theNbequa}\xintifboolexpr{#2=1}{}{\num{#2}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#3>0}{+\num{#3}}{-\num{\fpeval{0-#3}}}&=\mathcolor{Ccompo}{\xintifboolexpr{#4=1}{}{\num{#4}}\useKV[ClesEquation]{Lettre}}\xintifboolexpr{#5>0}{+\num{#5}}{-\num{\fpeval{0-#5}}}\tikzmark{E-\theNbequa}\\
-                \xintifboolexpr{#2=1}{}{\num{#2}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#3>0}{+\num{#3}}{-\num{\fpeval{0-#3}}}&=\mathcolor{Ccompo}{\num{\fpeval{#4-#2}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#2>0}{+\num{#2}\useKV[ClesEquation]{Lettre}}{-\num{\fpeval{0-#2}}\useKV[ClesEquation]{Lettre}}}\xintifboolexpr{#5>0}{+\num{#5}}{-\num{\fpeval{0-#5}}}\\
-                \tikzmark{B-\theNbequa}\xdef\Coeffa{\fpeval{#4-#2}}\xintifboolexpr{#3>0}{\num{#3}}{-\num{\fpeval{0-#3}}}&=\xintifboolexpr{\Coeffa=1}{}{\num{\Coeffa}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#5>0}{+\num{#5}}{-\num{\fpeval{0-#5}}}\tikzmark{F-\theNbequa}\\
-                \mathcolor{Ccompo}{\num{\fpeval{#3-#5}}\xintifboolexpr{#5>0}{+\num{#5}}{-\num{\fpeval{0-#5}}}}&=\xintifboolexpr{\Coeffa=1}{}{\num{\Coeffa}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#5>0}{+\num{#5}}{-\num{\fpeval{0-#5}}}\\
-                \tikzmark{C-\theNbequa}\xdef\Coeffb{\fpeval{#3-#5}}\num{\Coeffb}&=\xintifboolexpr{\Coeffa=1}{}{\num{\Coeffa}}\useKV[ClesEquation]{Lettre}\tikzmark{G-\theNbequa}%\\
-                \xintifboolexpr{\Coeffa=1}{}{\\}
+                \tikzmark{A-\theNbequa}\xintifboolexpr{#2==1}{}{\num{#2}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#3>0}{+\num{#3}}{-\num{\fpeval{0-#3}}}&=\mathcolor{Ccompo}{\xintifboolexpr{#4==1}{}{\num{#4}}\useKV[ClesEquation]{Lettre}}\xintifboolexpr{#5>0}{+\num{#5}}{-\num{\fpeval{0-#5}}}\tikzmark{E-\theNbequa}\\
+                \xintifboolexpr{#2==1}{}{\num{#2}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#3>0}{+\num{#3}}{-\num{\fpeval{0-#3}}}&=\mathcolor{Ccompo}{\num{\fpeval{#4-#2}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#2>0}{+\num{#2}\useKV[ClesEquation]{Lettre}}{-\num{\fpeval{0-#2}}\useKV[ClesEquation]{Lettre}}}\xintifboolexpr{#5>0}{+\num{#5}}{-\num{\fpeval{0-#5}}}\\
+                \tikzmark{B-\theNbequa}\xdef\Coeffa{\fpeval{#4-#2}}\mathcolor{Ccompo}{\xintifboolexpr{#3>0}{\num{#3}}{-\num{\fpeval{0-#3}}}}&=\xintifboolexpr{\Coeffa==1}{}{\num{\Coeffa}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#5>0}{+\num{#5}}{-\num{\fpeval{0-#5}}}\tikzmark{F-\theNbequa}\\
+                \mathcolor{Ccompo}{\num{\fpeval{#3-#5}}\xintifboolexpr{#5>0}{+\num{#5}}{-\num{\fpeval{0-#5}}}}&=\xintifboolexpr{\Coeffa==1}{}{\num{\Coeffa}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#5>0}{+\num{#5}}{-\num{\fpeval{0-#5}}}\\
+                \tikzmark{C-\theNbequa}\xdef\Coeffb{\fpeval{#3-#5}}\num{\Coeffb}&=\xintifboolexpr{\Coeffa==1}{}{\num{\Coeffa}}\useKV[ClesEquation]{Lettre}\tikzmark{G-\theNbequa}%\\
+                \xintifboolexpr{\Coeffa==1}{}{\\}
                 \ifboolKV[ClesEquation]{Fleches}{%
                 \leftcomment{A-\theNbequa}{B-\theNbequa}{A-\theNbequa}{$\xintifboolexpr{#2>0}{-\num{#2}}{+\num{\fpeval{0-#2}}}\useKV[ClesEquation]{Lettre}$}
                 \rightcomment{E-\theNbequa}{F-\theNbequa}{E-\theNbequa}{$\xintifboolexpr{#2>0}{-\num{#2}}{+\num{\fpeval{0-#2}}}\useKV[ClesEquation]{Lettre}$}
                 \leftcomment{B-\theNbequa}{C-\theNbequa}{A-\theNbequa}{$\xintifboolexpr{#5>0}{-\num{#5}}{+\num{\fpeval{0-#5}}}$}%
                 \rightcomment{F-\theNbequa}{G-\theNbequa}{E-\theNbequa}{$\xintifboolexpr{#5>0}{-\num{#5}}{+\num{\fpeval{0-#5}}}$}%
                 }{}
-                \xintifboolexpr{\Coeffa=1}{}{%\ifnum\cmtd>1
+                \xintifboolexpr{\Coeffa==1}{}{%\ifnum\cmtd>1
                 \tikzmark{D-\theNbequa}\frac{\num{\Coeffb}}{\num{\Coeffa}}&=\useKV[ClesEquation]{Lettre}\tikzmark{H-\theNbequa}%\\
                 \ifboolKV[ClesEquation]{Fleches}{%
                 \leftcomment{C-\theNbequa}{D-\theNbequa}{A-\theNbequa}{$\div\xintifboolexpr{\Coeffa<0}{(\num{\Coeffa})}{\num{\Coeffa}}$}%
-                \rightcomment{G-\theNbequa}{H-\theNbequa}{E-\theNbequa}{$\div\xintifboolexpr{\Coeffa<0}{(\num{\Coeffa})}{\num{\Coeffa}}$}%            
+                \rightcomment{G-\theNbequa}{H-\theNbequa}{E-\theNbequa}{$\div\xintifboolexpr{\Coeffa<0}{(\num{\Coeffa})}{\num{\Coeffa}}$}%
                 }{
                 \ifboolKV[ClesEquation]{FlecheDiv}{%
                 \leftcomment{C-\theNbequa}{D-\theNbequa}{A-\theNbequa}{$\div\xintifboolexpr{\Coeffa<0}{(\num{\Coeffa})}{\num{\Coeffa}}$}%
-                \rightcomment{G-\theNbequa}{H-\theNbequa}{E-\theNbequa}{$\div\xintifboolexpr{\Coeffa<0}{(\num{\Coeffa})}{\num{\Coeffa}}$}%                 
+                \rightcomment{G-\theNbequa}{H-\theNbequa}{E-\theNbequa}{$\div\xintifboolexpr{\Coeffa<0}{(\num{\Coeffa})}{\num{\Coeffa}}$}%
                 }{}
                 }
+                %% decimal
+                \ifboolKV[ClesEquation]{Decimal}{%
+                \\\num{\fpeval{\Coeffb/\Coeffa}}&=\useKV[ClesEquation]{Lettre}%
+                                                }{}%
+                                        %%%
                 \ifboolKV[ClesEquation]{Entier}{%
                 \SSimpliTest{\Coeffb}{\Coeffa}%
                 \ifboolKV[ClesEquation]{Simplification}{%
@@ -264,7 +287,7 @@
                 }
                 \ifboolKV[ClesEquation]{Fleches}{\stepcounter{Nbequa}}{\ifboolKV[ClesEquation]{FlecheDiv}{\stepcounter{Nbequa}}{}}
               \end{align*}
-              \ifboolKV[ClesEquation]{Solution}{L'équation $\xintifboolexpr{#2=1}{}{\num{#2}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#3>0}{+\num{#3}}{-\num{\fpeval{0-#3}}}=\xintifboolexpr{#4=1}{}{\num{#4}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#5>0}{+\num{#5}}{-\num{\fpeval{0-#5}}}$ a une unique solution : \opdiv*{\Coeffb}{\Coeffa}{solution}{resteequa}\opcmp{resteequa}{0}$\ifboolKV[ClesEquation]{LettreSol}{\useKV[ClesEquation]{Lettre}=}{}\displaystyle\ifopeq\opexport{solution}{\solution}\num{\solution}\else\ifboolKV[ClesEquation]{Entier}{\SSimplifie{\Coeffb}{\Coeffa}}{\frac{\num{\Coeffb}}{\num{\Coeffa}}}\fi$.%
+              \ifboolKV[ClesEquation]{Solution}{L'équation $\xintifboolexpr{#2==1}{}{\num{#2}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#3>0}{+\num{#3}}{-\num{\fpeval{0-#3}}}=\xintifboolexpr{#4==1}{}{\num{#4}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#5>0}{+\num{#5}}{-\num{\fpeval{0-#5}}}$ a une unique solution : \opdiv*{\Coeffb}{\Coeffa}{solution}{resteequa}\opcmp{resteequa}{0}$\ifboolKV[ClesEquation]{LettreSol}{\useKV[ClesEquation]{Lettre}=}{}\displaystyle\ifopeq\opexport{solution}{\solution}\num{\solution}\else\ifboolKV[ClesEquation]{Entier}{\SSimplifie{\Coeffb}{\Coeffa}}{\frac{\num{\Coeffb}}{\num{\Coeffa}}}\fi$.%
               }{}%
             }%
           }%
diff --git a/Master/texmf-dist/tex/latex/profcollege/PfCEquationLaurent1.tex b/Master/texmf-dist/tex/latex/profcollege/PfCEquationLaurent1.tex
index 8bce1eb7c80..a4be58b450b 100644
--- a/Master/texmf-dist/tex/latex/profcollege/PfCEquationLaurent1.tex
+++ b/Master/texmf-dist/tex/latex/profcollege/PfCEquationLaurent1.tex
@@ -6,17 +6,22 @@
   \ifx\bla#2\bla%on teste si le paramètre #2 est vide:
   % si oui, on est dans le cas b=cx. Eh bien on échange :)
   % Mais attention si les deux paramètres a et c sont vides...
-  \EquaBase[#1]{#4}{}{}{#3}
+  \EquaBaseLaurent[#1]{#4}{}{}{#3}
   \else
   % si non, on est dans le cas ax=d
-  \xintifboolexpr{#2=0}{%
-    \xintifboolexpr{#5=0}{%
+  \xintifboolexpr{#2==0}{%
+    \xintifboolexpr{#5==0}{%
       L'équation $0\useKV[ClesEquation]{ELettre}=0$ a une infinité de solutions.}{L'équation $0\useKV[ClesEquation]{Lettre}=\num{#5}$ n'a aucune solution.}%
   }{%\else
-    \xintifboolexpr{#5=0}{L'équation $\num{#2}\useKV[ClesEquation]{Lettre}=0$ a une unique solution : $\useKV[ClesEquation]{Lettre}=0$.}{%\else
+    \xintifboolexpr{#5==0}{L'équation $\num{#2}\useKV[ClesEquation]{Lettre}=0$ a une unique solution : $\useKV[ClesEquation]{Lettre}=0$.}{%\else
       \begin{align*}%
-        \xintifboolexpr{#2=1}{\useKV[ClesEquation]{Lettre}}{\color{Cdecomp}\frac{\cancel{\color{black}\num{#2}}\color{black}\useKV[ClesEquation]{Lettre}}{\cancel{\num{#2}}}}&=\xintifboolexpr{#2=1}{\num{#5}}{\color{Cdecomp}\frac{\color{black}\num{#5}}{\num{#2}}}
-        \xintifboolexpr{#2=1}{}{\\\useKV[ClesEquation]{Lettre}&=\frac{\num{#5}}{\num{#2}}}%\\
+        \xintifboolexpr{#2==1}{\useKV[ClesEquation]{Lettre}}{\color{Cdecomp}\frac{\cancel{\color{black}\num{#2}}\color{black}\useKV[ClesEquation]{Lettre}}{\cancel{\num{#2}}}}&=\xintifboolexpr{#2==1}{\num{#5}}{\color{Cdecomp}\frac{\color{black}\num{#5}}{\num{#2}}}
+        \xintifboolexpr{#2==1}{}{\\\useKV[ClesEquation]{Lettre}&=\frac{\num{#5}}{\num{#2}}}%\\
+        %% decimal
+        \ifboolKV[ClesEquation]{Decimal}{%
+        \\\useKV[ClesEquation]{Lettre}&=\num{\fpeval{#5/#2}}%
+                                        }{}%
+%                                        %%%
         \ifboolKV[ClesEquation]{Entier}{%
         \SSimpliTest{#5}{#2}%
         \ifboolKV[ClesEquation]{Simplification}{%
@@ -24,7 +29,7 @@
         }{}
         }{}
       \end{align*}
-      \ifboolKV[ClesEquation]{Solution}{L'équation $\xintifboolexpr{#2=1}{\useKV[ClesEquation]{Lettre}=\num{#5}}{\num{#2}\useKV[ClesEquation]{Lettre}=\num{#5}}$ a une unique solution : $\displaystyle\ifboolKV[ClesEquation]{LettreSol}{\useKV[ClesEquation]{Lettre}=}{}\opdiv*{#5}{#2}{numequa}{resteequa}\opcmp{resteequa}{0}\ifopeq\opexport{numequa}{\numequa}\num{\numequa}\else\ifboolKV[ClesEquation]{Simplification}{\SSimplifie{#5}{#2}}{\frac{\num{#5}}{\num{#2}}}\fi$.%
+      \ifboolKV[ClesEquation]{Solution}{L'équation $\xintifboolexpr{#2==1}{\useKV[ClesEquation]{Lettre}=\num{#5}}{\num{#2}\useKV[ClesEquation]{Lettre}=\num{#5}}$ a une unique solution : $\displaystyle\ifboolKV[ClesEquation]{LettreSol}{\useKV[ClesEquation]{Lettre}=}{}\opdiv*{#5}{#2}{numequa}{resteequa}\opcmp{resteequa}{0}\ifopeq\opexport{numequa}{\numequa}\num{\numequa}\else\ifboolKV[ClesEquation]{Simplification}{\SSimplifie{#5}{#2}}{\frac{\num{#5}}{\num{#2}}}\fi$.%
       }{}
     }
   }
@@ -37,24 +42,29 @@
   \ifx\bla#2\bla%On échange en faisant attention à ne pas boucler : c doit être non vide
   \EquaDeuxLaurent[#1]{#4}{#5}{#2}{#3}
   \else%cas ax+b=d
-  \xintifboolexpr{#2=0}{%
-    \xintifboolexpr{#3=#5}{%b=d
+  \xintifboolexpr{#2==0}{%
+    \xintifboolexpr{#3==#5}{%b=d
       L'équation $\num{#3}=\num{#5}$ a une infinité de solutions.}%
     {%b<>d
       L'équation $\num{#3}=\num{#5}$ n'a aucune solution.%
     }%
   }{%ELSE
-    \xintifboolexpr{#3=0}{%ax+b=d
+    \xintifboolexpr{#3==0}{%ax+b=d
       \EquaBaseLaurent[#1]{#2}{}{}{#5}%
     }{%ax+b=d$ Ici
       \begin{align*}
-        \xintifboolexpr{#2=1}{}{\num{#2}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#3>0}{+\num{#3}\stackMath\Longstack{$\tiny$\color{Cdecomp}-\num{#3} {}}\stackText}{-\num{\fpeval{0-#3}}\stackMath\Longstack{$\tiny$\color{Cdecomp}+\num{\fpeval{0-#3}}}\stackText}&=\num{#5}\xintifboolexpr{#3>0}{\stackMath\Longstack{$\tiny$\color{Cdecomp}-\num{#3} {}}\stackText}{\stackMath\Longstack{$\tiny$\color{Cdecomp}+\num{\fpeval{0-#3}}}\stackText}\\
+        \xintifboolexpr{#2==1}{}{\num{#2}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#3>0}{+\num{#3}\stackMath\Longstack{$\tiny$\color{Cdecomp}-\num{#3} {}}\stackText}{-\num{\fpeval{0-#3}}\stackMath\Longstack{$\tiny$\color{Cdecomp}+\num{\fpeval{0-#3}}}\stackText}&=\num{#5}\xintifboolexpr{#3>0}{\stackMath\Longstack{$\tiny$\color{Cdecomp}-\num{#3} {}}\stackText}{\stackMath\Longstack{$\tiny$\color{Cdecomp}+\num{\fpeval{0-#3}}}\stackText}\\
         \xdef\Coeffa{#2}\xdef\Coeffb{\fpeval{#5-#3}}%\\
-        \xintifboolexpr{\Coeffa=1}{\useKV[ClesEquation]{Lettre}}{\color{Cdecomp}\frac{\cancel{\color{black}\num{\Coeffa}}\color{black}\useKV[ClesEquation]{Lettre}}{\cancel{\num{\Coeffa}}}}&=\xintifboolexpr{\Coeffa=1}{\num{\Coeffb}}{\color{Cdecomp}\frac{\color{black}\num{\Coeffb}}{\num{\Coeffa}}}%\\
-        \xintifboolexpr{\Coeffa=1}{}{\\}
-        \xintifboolexpr{\Coeffa=1}{% 
+        \xintifboolexpr{\Coeffa==1}{\useKV[ClesEquation]{Lettre}}{\color{Cdecomp}\frac{\cancel{\color{black}\num{\Coeffa}}\color{black}\useKV[ClesEquation]{Lettre}}{\cancel{\num{\Coeffa}}}}&=\xintifboolexpr{\Coeffa==1}{\num{\Coeffb}}{\color{Cdecomp}\frac{\color{black}\num{\Coeffb}}{\num{\Coeffa}}}%\\
+        \xintifboolexpr{\Coeffa==1}{}{\\}
+        \xintifboolexpr{\Coeffa==1}{% 
         }{%\ifnum\cmtd>1
         \useKV[ClesEquation]{Lettre}&=\frac{\num{\Coeffb}}{\num{\Coeffa}}%\\
+        %% decimal
+        \ifboolKV[ClesEquation]{Decimal}{%
+        \\\useKV[ClesEquation]{Lettre}&=\num{\fpeval{\Coeffb/\Coeffa}}%
+                                        }{}%
+                                        %%%
         \ifboolKV[ClesEquation]{Entier}{%
         \SSimpliTest{\Coeffb}{\Coeffa}%
         \ifboolKV[ClesEquation]{Simplification}{%
@@ -63,7 +73,7 @@
         }{}
         }
       \end{align*}
-      \ifboolKV[ClesEquation]{Solution}{L'équation $\xintifboolexpr{#2=1}{}{\num{#2}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#3>0}{+\num{#3}}{-\num{\fpeval{0-#3}}}=\num{#5}$ a une unique solution : \opdiv*{\Coeffb}{\Coeffa}{solution}{resteequa}\opcmp{resteequa}{0}$\ifboolKV[ClesEquation]{LettreSol}{\useKV[ClesEquation]{Lettre}=}\displaystyle\ifopeq\opexport{solution}{\solution}\num{\solution}\else\ifboolKV[ClesEquation]{Entier}{\SSimplifie{\Coeffb}{\Coeffa}}{\frac{\num{\Coeffb}}{\num{\Coeffa}}}\fi$.
+      \ifboolKV[ClesEquation]{Solution}{L'équation $\xintifboolexpr{#2==1}{}{\num{#2}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#3>0}{+\num{#3}}{-\num{\fpeval{0-#3}}}=\num{#5}$ a une unique solution : \opdiv*{\Coeffb}{\Coeffa}{solution}{resteequa}\opcmp{resteequa}{0}$\ifboolKV[ClesEquation]{LettreSol}{\useKV[ClesEquation]{Lettre}=}\displaystyle\ifopeq\opexport{solution}{\solution}\num{\solution}\else\ifboolKV[ClesEquation]{Entier}{\SSimplifie{\Coeffb}{\Coeffa}}{\frac{\num{\Coeffb}}{\num{\Coeffa}}}\fi$.
       }{}
     }
   }
@@ -79,29 +89,34 @@
       \EquaTroisLaurent[#1]{#4}{#5}{#2}{}%
     \fi
   \else
-  \xintifboolexpr{#2=0}{%b=cx
+  \xintifboolexpr{#2==0}{%b=cx
     \EquaBaseLaurent[#1]{#4}{}{}{#3}
   }{%
-    \xintifboolexpr{#4=0}{%ax+b=0
+    \xintifboolexpr{#4==0}{%ax+b=0
       \EquaDeuxLaurent[#1]{#2}{#3}{}{0}
     }{%ax+b=cx
-      \xintifboolexpr{#2=#4}{%
-        \xintifboolexpr{#3=0}{%ax=ax
-          L'équation $\xintifboolexpr{#2=1}{}{\num{#2}}\useKV[ClesEquation]{Lettre}=\xintifboolexpr{#4=1}{}{\num{#4}}\useKV[ClesEquation]{Lettre}$ a une infinité de solutions.}%
+      \xintifboolexpr{#2==#4}{%
+        \xintifboolexpr{#3==0}{%ax=ax
+          L'équation $\xintifboolexpr{#2==1}{}{\num{#2}}\useKV[ClesEquation]{Lettre}=\xintifboolexpr{#4==1}{}{\num{#4}}\useKV[ClesEquation]{Lettre}$ a une infinité de solutions.}%
         {%ax+b=ax
-          L'équation $\xintifboolexpr{#2=1}{}{\num{#2}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#3>0}{+\num{#3}}{-\num{\fpeval{0-#3}}}=\xintifboolexpr{#4=1}{}{\num{#4}}\useKV[ClesEquation]{Lettre}$ n'a aucune solution.%
+          L'équation $\xintifboolexpr{#2==1}{}{\num{#2}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#3>0}{+\num{#3}}{-\num{\fpeval{0-#3}}}=\xintifboolexpr{#4==1}{}{\num{#4}}\useKV[ClesEquation]{Lettre}$ n'a aucune solution.%
         }%
       }{%% Cas délicat
         \xintifboolexpr{#2>#4}{%ax+b=cx avec a>c
           \begin{align*}
-            \xintifboolexpr{#2=1}{}{\num{#2}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#3>0}{+\num{#3}\stackMath\Longstack{$\tiny$\color{Cdecomp}-\num{#3} {}}\stackText}{-\num{\fpeval{0-#3}}\stackMath\Longstack{$\tiny$\color{Cdecomp}+\num{\fpeval{0-#3}}}\stackText}&=\xintifboolexpr{#4=1}{}{\num{#4}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#3>0}{\stackMath\Longstack{$\tiny$\color{Cdecomp}-\num{#3} {}}\stackText}{\stackMath\Longstack{$\tiny$\color{Cdecomp}+\num{\fpeval{0-#3}}}\stackText}\\
-            \xintifboolexpr{#2=1}{}{\num{#2}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#4>0}{\stackMath\Longstack{$\tiny$\color{Cdecomp}-\num{#4}\useKV[ClesEquation]{Lettre} {}}\stackText}{\stackMath\Longstack{$\tiny$\color{Cdecomp}+\num{\fpeval{0-#4}}\useKV[ClesEquation]{Lettre} {}}\stackText}&=\xintifboolexpr{#4=1}{}{\num{#4}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#4>0}{\stackMath\Longstack{$\tiny$\color{Cdecomp}-\num{#4}\useKV[ClesEquation]{Lettre} {}}\stackText}{\stackMath\Longstack{$\tiny$\color{Cdecomp}+\num{\fpeval{0-#4}}\useKV[ClesEquation]{Lettre} {}}\stackText}\xintifboolexpr{#3>0}{-\num{#3}}{+\num{\fpeval{0-#3}}}\\
+            \xintifboolexpr{#2==1}{}{\num{#2}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#3==0}{}{\xintifboolexpr{#3>0}{+\num{#3}\stackMath\Longstack{$\tiny$\color{Cdecomp}-\num{#3} {}}\stackText}{-\num{\fpeval{0-#3}}\stackMath\Longstack{$\tiny$\color{Cdecomp}+\num{\fpeval{0-#3}}}\stackText}}&=\xintifboolexpr{#4==1}{}{\num{#4}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#3==0}{}{\xintifboolexpr{#3>0}{\stackMath\Longstack{$\tiny$\color{Cdecomp}-\num{#3} {}}\stackText}{\stackMath\Longstack{$\tiny$\color{Cdecomp}+\num{\fpeval{0-#3}}}\stackText}}\\
+            \xintifboolexpr{#2==1}{}{\num{#2}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#4>0}{\stackMath\Longstack{$\tiny$\color{Cdecomp}-\num{#4}\useKV[ClesEquation]{Lettre} {}}\stackText}{\stackMath\Longstack{$\tiny$\color{Cdecomp}+\num{\fpeval{0-#4}}\useKV[ClesEquation]{Lettre} {}}\stackText}&=\xintifboolexpr{#4==1}{}{\num{#4}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#4>0}{\stackMath\Longstack{$\tiny$\color{Cdecomp}-\num{#4}\useKV[ClesEquation]{Lettre} {}}\stackText}{\stackMath\Longstack{$\tiny$\color{Cdecomp}+\num{\fpeval{0-#4}}\useKV[ClesEquation]{Lettre} {}}\stackText}\xintifboolexpr{#3==0}{}{\xintifboolexpr{#3>0}{-\num{#3}}{+\num{\fpeval{0-#3}}}}\\
             \xdef\Coeffa{\fpeval{#2-#4}}\xdef\Coeffb{\fpeval{0-#3}}%\\
-            \xintifboolexpr{\Coeffa=1}{\useKV[ClesEquation]{Lettre}}{\color{Cdecomp}\frac{\cancel{\color{black}\num{\Coeffa}}\color{black}\useKV[ClesEquation]{Lettre}}{\cancel{\num{\Coeffa}}}}&=\xintifboolexpr{\Coeffa=1}{\num{\Coeffb}}{\color{Cdecomp}\frac{\color{black}\num{\Coeffb}}{\num{\Coeffa}}}%\\
-            \xintifboolexpr{\Coeffa=1}{}{\\}
-            \xintifboolexpr{\Coeffa=1}{% 
+            \xintifboolexpr{\Coeffa==1}{\useKV[ClesEquation]{Lettre}}{\color{Cdecomp}\frac{\cancel{\color{black}\num{\Coeffa}}\color{black}\useKV[ClesEquation]{Lettre}}{\cancel{\num{\Coeffa}}}}&=\xintifboolexpr{\Coeffa==1}{\num{\Coeffb}}{\color{Cdecomp}\frac{\color{black}\num{\Coeffb}}{\num{\Coeffa}}}%\\
+            \xintifboolexpr{\Coeffa==1}{}{\\}
+            \xintifboolexpr{\Coeffa==1}{% 
             }{%\ifnum\cmtd>1
             \useKV[ClesEquation]{Lettre}&=\frac{\num{\Coeffb}}{\num{\Coeffa}}%\\
+            %% decimal
+            \ifboolKV[ClesEquation]{Decimal}{%
+            \\\useKV[ClesEquation]{Lettre}&=\num{\fpeval{\Coeffb/\Coeffa}}%
+                                            }{}%
+                                        %%%
             \ifboolKV[ClesEquation]{Entier}{%
             \SSimpliTest{\Coeffb}{\Coeffa}%
             \ifboolKV[ClesEquation]{Simplification}{%
@@ -110,17 +125,22 @@
             }{}
             }
           \end{align*}
-          \ifboolKV[ClesEquation]{Solution}{L'équation $\xintifboolexpr{#2=1}{}{\num{#2}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#3>0}{+\num{#3}}{-\num{\fpeval{0-#3}}}=\xintifboolexpr{#4=1}{}{\num{#4}}\useKV[ClesEquation]{Lettre}$ a une unique solution : \opdiv*{\Coeffb}{\Coeffa}{solution}{resteequa}\opcmp{resteequa}{0}$\ifboolKV[ClesEquation]{LettreSol}{\useKV[ClesEquation]{Lettre}=}{}\displaystyle\ifopeq\opexport{solution}{\solution}\num{\solution}\else\ifboolKV[ClesEquation]{Entier}{\SSimplifie{\Coeffb}{\Coeffa}}{\frac{\num{\Coeffb}}{\num{\Coeffa}}}\fi$.}{}
+          \ifboolKV[ClesEquation]{Solution}{L'équation $\xintifboolexpr{#2==1}{}{\num{#2}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#3>0}{+\num{#3}}{-\num{\fpeval{0-#3}}}=\xintifboolexpr{#4==1}{}{\num{#4}}\useKV[ClesEquation]{Lettre}$ a une unique solution : \opdiv*{\Coeffb}{\Coeffa}{solution}{resteequa}\opcmp{resteequa}{0}$\ifboolKV[ClesEquation]{LettreSol}{\useKV[ClesEquation]{Lettre}=}{}\displaystyle\ifopeq\opexport{solution}{\solution}\num{\solution}\else\ifboolKV[ClesEquation]{Entier}{\SSimplifie{\Coeffb}{\Coeffa}}{\frac{\num{\Coeffb}}{\num{\Coeffa}}}\fi$.}{}
         }{%ax+b=cx avec a<c              % Autre cas délicat
           \begin{align*}%
-            \xintifboolexpr{#2=1}{}{\num{#2}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#4>0}{\stackMath\Longstack{$\tiny$\color{Cdecomp}-\num{#4}\useKV[ClesEquation]{Lettre} {}}\stackText}{\stackMath\Longstack{$\tiny$\color{Cdecomp}+\num{\fpeval{0-#4}}\useKV[ClesEquation]{Lettre} {}}\stackText}\xintifboolexpr{#3>0}{+\num{#3}}{-\num{\fpeval{0-#3}}}&=\xintifboolexpr{#4=1}{}{\num{#4}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#4>0}{\stackMath\Longstack{$\tiny$\color{Cdecomp}-\num{#4}\useKV[ClesEquation]{Lettre} {}}\stackText}{\stackMath\Longstack{$\tiny$\color{Cdecomp}+\num{\fpeval{0-#4}}\useKV[ClesEquation]{Lettre} {}}\stackText}\\
+            \xintifboolexpr{#2==1}{}{\num{#2}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#4>0}{\stackMath\Longstack{$\tiny$\color{Cdecomp}-\num{#4}\useKV[ClesEquation]{Lettre} {}}\stackText}{\stackMath\Longstack{$\tiny$\color{Cdecomp}+\num{\fpeval{0-#4}}\useKV[ClesEquation]{Lettre} {}}\stackText}\xintifboolexpr{#3==0}{}{\xintifboolexpr{#3>0}{+\num{#3}}{-\num{\fpeval{0-#3}}}}&=\xintifboolexpr{#4==1}{}{\num{#4}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#4>0}{\stackMath\Longstack{$\tiny$\color{Cdecomp}-\num{#4}\useKV[ClesEquation]{Lettre} {}}\stackText}{\stackMath\Longstack{$\tiny$\color{Cdecomp}+\num{\fpeval{0-#4}}\useKV[ClesEquation]{Lettre} {}}\stackText}\\
             \xdef\Coeffa{\fpeval{#2-#4}}\xdef\Coeffb{\fpeval{0-#3}}%\\
-            \xintifboolexpr{\Coeffa=1}{}{\num{\Coeffa}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#3>0}{+\num{#3}\stackMath\Longstack{$\tiny$\color{Cdecomp}-\num{#3} {}}\stackText}{-\num{\fpeval{0-#3}}\stackMath\Longstack{$\tiny$\color{Cdecomp}+\num{\fpeval{0-#3}}}\stackText}&=0\xintifboolexpr{#3>0}{\stackMath\Longstack{$\tiny$\color{Cdecomp}-\num{#3} {}}\stackText}{\stackMath\Longstack{$\tiny$\color{Cdecomp}+\num{\fpeval{0-#3}}}\stackText}\\
-            \xintifboolexpr{\Coeffa=1}{\useKV[ClesEquation]{Lettre}}{\color{Cdecomp}\frac{\cancel{\color{black}\num{\Coeffa}}\color{black}\useKV[ClesEquation]{Lettre}}{\cancel{\num{\Coeffa}}}}&=\xintifboolexpr{\Coeffa=1}{\num{\Coeffb}}{\color{Cdecomp}\frac{\color{black}\num{\Coeffb}}{\num{\Coeffa}}}%\\
-            \xintifboolexpr{\Coeffa=1}{}{\\}
-            \xintifboolexpr{\Coeffa=1}{% 
+            \xintifboolexpr{\Coeffa==1}{}{\num{\Coeffa}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#3==0}{}{\xintifboolexpr{#3>0}{+\num{#3}\stackMath\Longstack{$\tiny$\color{Cdecomp}-\num{#3} {}}\stackText}{-\num{\fpeval{0-#3}}\stackMath\Longstack{$\tiny$\color{Cdecomp}+\num{\fpeval{0-#3}}}\stackText}}&=0\xintifboolexpr{#3==0}{}{\xintifboolexpr{#3>0}{\stackMath\Longstack{$\tiny$\color{Cdecomp}-\num{#3} {}}\stackText}{\stackMath\Longstack{$\tiny$\color{Cdecomp}+\num{\fpeval{0-#3}}}\stackText}}\\
+            \xintifboolexpr{\Coeffa==1}{\useKV[ClesEquation]{Lettre}}{\color{Cdecomp}\frac{\cancel{\color{black}\num{\Coeffa}}\color{black}\useKV[ClesEquation]{Lettre}}{\cancel{\num{\Coeffa}}}}&=\xintifboolexpr{\Coeffa==1}{\num{\Coeffb}}{\color{Cdecomp}\frac{\color{black}\num{\Coeffb}}{\num{\Coeffa}}}%\\
+            \xintifboolexpr{\Coeffa==1}{}{\\}
+            \xintifboolexpr{\Coeffa==1}{% 
             }{%\ifnum\cmtd>1
             \useKV[ClesEquation]{Lettre}&=\frac{\num{\Coeffb}}{\num{\Coeffa}}%\\
+            %% decimal
+            \ifboolKV[ClesEquation]{Decimal}{%
+            \\\useKV[ClesEquation]{Lettre}&=\num{\fpeval{\Coeffb/\Coeffa}}%
+                                        }{}%
+                                        %%%
             \ifboolKV[ClesEquation]{Entier}{%
             \SSimpliTest{\Coeffb}{\Coeffa}%
             \ifboolKV[ClesEquation]{Simplification}{%
@@ -129,7 +149,7 @@
             }{}
             }
           \end{align*}
-          \ifboolKV[ClesEquation]{Solution}{L'équation $\xintifboolexpr{#2=1}{}{\num{#2}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#3>0}{+\num{#3}}{-\num{\fpeval{0-#3}}}=\xintifboolexpr{#4=1}{}{\num{#4}}\useKV[ClesEquation]{Lettre}$ a une unique solution : \opdiv*{\Coeffb}{\Coeffa}{solution}{resteequa}\opcmp{resteequa}{0}$\ifboolKV[ClesEquation]{LettreSol}{\useKV[ClesEquation]{Lettre}=}{}\displaystyle\ifopeq\opexport{solution}{\solution}\num{\solution}\else\ifboolKV[ClesEquation]{Entier}{\SSimplifie{\Coeffb}{\Coeffa}}{\frac{\num{\Coeffb}}{\num{\Coeffa}}}\fi$.}{}%
+          \ifboolKV[ClesEquation]{Solution}{L'équation $\xintifboolexpr{#2==1}{}{\num{#2}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#3>0}{+\num{#3}}{-\num{\fpeval{0-#3}}}=\xintifboolexpr{#4==1}{}{\num{#4}}\useKV[ClesEquation]{Lettre}$ a une unique solution : \opdiv*{\Coeffb}{\Coeffa}{solution}{resteequa}\opcmp{resteequa}{0}$\ifboolKV[ClesEquation]{LettreSol}{\useKV[ClesEquation]{Lettre}=}{}\displaystyle\ifopeq\opexport{solution}{\solution}\num{\solution}\else\ifboolKV[ClesEquation]{Entier}{\SSimplifie{\Coeffb}{\Coeffa}}{\frac{\num{\Coeffb}}{\num{\Coeffa}}}\fi$.}{}%
         }%
       }%
     }%
@@ -140,9 +160,9 @@
 \newcommand{\ResolEquationLaurent}[5][]{%
   \useKVdefault[ClesEquation]%
   \setKV[ClesEquation]{#1}%
-  \xintifboolexpr{#2=0}{%
-    \xintifboolexpr{#4=0}{%
-      \xintifboolexpr{#3=#5}{%b=d
+  \xintifboolexpr{#2==0}{%
+    \xintifboolexpr{#4==0}{%
+      \xintifboolexpr{#3==#5}{%b=d
         L'équation $\num{#3}=\num{#5}$ a une infinité de solutions.}%
       {%b<>d
         L'équation $\num{#3}=\num{#5}$ n'a aucune solution.%
@@ -152,39 +172,44 @@
       \EquaDeuxLaurent[#1]{#4}{#5}{}{#3}%
     }%
   }{%
-    \xintifboolexpr{#4=0}{%ax+b=0x+d
+    \xintifboolexpr{#4==0}{%ax+b=0x+d
       \EquaDeuxLaurent[#1]{#2}{#3}{}{#5}%
     }
     {%ax+b=cx+d
-      \xintifboolexpr{#3=0}{%
-        \xintifboolexpr{#5=0}{%ax=cx
+      \xintifboolexpr{#3==0}{%
+        \xintifboolexpr{#5==0}{%ax=cx
           \EquaTroisLaurent[#1]{#2}{0}{#4}{}%
         }%
         {%ax=cx+d
           \EquaTroisLaurent[#1]{#4}{#5}{#2}{}%
         }%
       }%
-      {\xintifboolexpr{#5=0}{%ax+b=cx
+      {\xintifboolexpr{#5==0}{%ax+b=cx
           \EquaTroisLaurent[#1]{#2}{#3}{#4}{}%
         }%
         {%ax+b=cx+d -- ici
-          \xintifboolexpr{#2=#4}{%
-            \xintifboolexpr{#3=#5}{%b=d
-              L'équation $\xintifboolexpr{#2=1}{}{\num{#2}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#3>0}{+\num{#3}}{-\num{\fpeval{0-#3}}}=\xintifboolexpr{#4=1}{}{\num{#4}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#5>0}{+\num{#5}}{-\num{\fpeval{0-#5}}}$ a une infinité de solutions.}%
+          \xintifboolexpr{#2==#4}{%
+            \xintifboolexpr{#3==#5}{%b=d
+              L'équation $\xintifboolexpr{#2==1}{}{\num{#2}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#3>0}{+\num{#3}}{-\num{\fpeval{0-#3}}}=\xintifboolexpr{#4==1}{}{\num{#4}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#5>0}{+\num{#5}}{-\num{\fpeval{0-#5}}}$ a une infinité de solutions.}%
             {%b<>d
-              L'équation $\xintifboolexpr{#2=1}{}{\num{#2}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#3>0}{+\num{#3}}{-\num{\fpeval{0-#3}}}=\xintifboolexpr{#4=1}{}{\num{#4}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#5>0}{+\num{#5}}{-\num{\fpeval{0-#5}}}$ n'a aucune solution.%
+              L'équation $\xintifboolexpr{#2==1}{}{\num{#2}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#3>0}{+\num{#3}}{-\num{\fpeval{0-#3}}}=\xintifboolexpr{#4==1}{}{\num{#4}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#5>0}{+\num{#5}}{-\num{\fpeval{0-#5}}}$ n'a aucune solution.%
             }%
           }{%% Cas délicat
             \xintifboolexpr{#2>#4}{%ax+b=cx+d avec a>c
               \begin{align*}
-                \xintifboolexpr{#2=1}{}{\num{#2}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#3>0}{+\num{#3}\stackMath\Longstack{$\tiny$\color{Cdecomp}-\num{#3} {}}\stackText}{-\num{\fpeval{0-#3}}\stackMath\Longstack{$\tiny$\color{Cdecomp}+\num{\fpeval{0-#3}}}\stackText}&=\xintifboolexpr{#4=1}{}{\num{#4}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#5>0}{+\num{#5}}{-\num{\fpeval{0-#5}}}\xintifboolexpr{#3>0}{\stackMath\Longstack{$\tiny$\color{Cdecomp}-\num{#3} {}}\stackText}{\stackMath\Longstack{$\tiny$\color{Cdecomp}+\num{\fpeval{0-#3}}}\stackText}\\
+                \xintifboolexpr{#2==1}{}{\num{#2}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#3>0}{+\num{#3}\stackMath\Longstack{$\tiny$\color{Cdecomp}-\num{#3} {}}\stackText}{-\num{\fpeval{0-#3}}\stackMath\Longstack{$\tiny$\color{Cdecomp}+\num{\fpeval{0-#3}}}\stackText}&=\xintifboolexpr{#4==1}{}{\num{#4}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#5>0}{+\num{#5}}{-\num{\fpeval{0-#5}}}\xintifboolexpr{#3>0}{\stackMath\Longstack{$\tiny$\color{Cdecomp}-\num{#3} {}}\stackText}{\stackMath\Longstack{$\tiny$\color{Cdecomp}+\num{\fpeval{0-#3}}}\stackText}\\
                 \xdef\Coeffa{\fpeval{#2-#4}}\xdef\Coeffb{\fpeval{#5-#3}}%\\
-                \xintifboolexpr{#2=1}{}{\num{#2}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#4>0}{\stackMath\Longstack{$\tiny$\color{Cdecomp}-\num{#4}\useKV[ClesEquation]{Lettre} {}}\stackText}{\stackMath\Longstack{$\tiny$\color{Cdecomp}+\num{\fpeval{0-#4}}\useKV[ClesEquation]{Lettre} {}}\stackText}&=\xintifboolexpr{#4=1}{}{\num{#4}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#4>0}{\stackMath\Longstack{$\tiny$\color{Cdecomp}-\num{#4}\useKV[ClesEquation]{Lettre} {}}\stackText}{\stackMath\Longstack{$\tiny$\color{Cdecomp}+\num{\fpeval{0-#4}}\useKV[ClesEquation]{Lettre} {}}\stackText}\xintifboolexpr{\Coeffb>0}{+\num{\Coeffb}}{-\num{\fpeval{0-\Coeffb}}}\\
-                \xintifboolexpr{\Coeffa=1}{\useKV[ClesEquation]{Lettre}}{\color{Cdecomp}\frac{\cancel{\color{black}\num{\Coeffa}}\color{black}\useKV[ClesEquation]{Lettre}}{\cancel{\num{\Coeffa}}}}&=\xintifboolexpr{\Coeffa=1}{\num{\Coeffb}}{\color{Cdecomp}\frac{\color{black}\num{\Coeffb}}{\num{\Coeffa}}}%\\
-                \xintifboolexpr{\Coeffa=1}{}{\\}
-                \xintifboolexpr{\Coeffa=1}{% 
+                \xintifboolexpr{#2==1}{}{\num{#2}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#4>0}{\stackMath\Longstack{$\tiny$\color{Cdecomp}-\num{#4}\useKV[ClesEquation]{Lettre} {}}\stackText}{\stackMath\Longstack{$\tiny$\color{Cdecomp}+\num{\fpeval{0-#4}}\useKV[ClesEquation]{Lettre} {}}\stackText}&=\xintifboolexpr{#4==1}{}{\num{#4}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#4>0}{\stackMath\Longstack{$\tiny$\color{Cdecomp}-\num{#4}\useKV[ClesEquation]{Lettre} {}}\stackText}{\stackMath\Longstack{$\tiny$\color{Cdecomp}+\num{\fpeval{0-#4}}\useKV[ClesEquation]{Lettre} {}}\stackText}\xintifboolexpr{\Coeffb>0}{+\num{\Coeffb}}{-\num{\fpeval{0-\Coeffb}}}\\
+                \xintifboolexpr{\Coeffa==1}{\useKV[ClesEquation]{Lettre}}{\color{Cdecomp}\frac{\cancel{\color{black}\num{\Coeffa}}\color{black}\useKV[ClesEquation]{Lettre}}{\cancel{\num{\Coeffa}}}}&=\xintifboolexpr{\Coeffa==1}{\num{\Coeffb}}{\color{Cdecomp}\frac{\color{black}\num{\Coeffb}}{\num{\Coeffa}}}%\\
+                \xintifboolexpr{\Coeffa==1}{}{\\}
+                \xintifboolexpr{\Coeffa==1}{% 
                 }{%\ifnum\cmtd>1
                 \useKV[ClesEquation]{Lettre}&=\frac{\num{\Coeffb}}{\num{\Coeffa}}%\\
+                %% decimal
+                \ifboolKV[ClesEquation]{Decimal}{%
+                \\\useKV[ClesEquation]{Lettre}&=\num{\fpeval{\Coeffb/\Coeffa}}%
+                                        }{}%
+                                        %%%
                 \ifboolKV[ClesEquation]{Entier}{%
                 \SSimpliTest{\Coeffb}{\Coeffa}%
                 \ifboolKV[ClesEquation]{Simplification}{%
@@ -193,20 +218,25 @@
                 }{}
                 }
               \end{align*}
-              \ifboolKV[ClesEquation]{Solution}{L'équation $\xintifboolexpr{#2=1}{}{\num{#2}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#3>0}{+\num{#3}}{-\num{\fpeval{0-#3}}}=\xintifboolexpr{#4=1}{}{\num{#4}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#5>0}{+\num{#5}}{-\num{\fpeval{0-#5}}}$ a une unique solution : \opdiv*{\Coeffb}{\Coeffa}{solution}{resteequa}\opcmp{resteequa}{0}$\ifboolKV[ClesEquation]{LettreSol}{\useKV[ClesEquation]{Lettre}=}{}\displaystyle\ifopeq\opexport{solution}{\solution}\num{\solution}\else\ifboolKV[ClesEquation]{Entier}{\SSimplifie{\Coeffb}{\Coeffa}}{\frac{\num{\Coeffb}}{\num{\Coeffa}}}\fi$.%
+              \ifboolKV[ClesEquation]{Solution}{L'équation $\xintifboolexpr{#2==1}{}{\num{#2}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#3>0}{+\num{#3}}{-\num{\fpeval{0-#3}}}=\xintifboolexpr{#4==1}{}{\num{#4}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#5>0}{+\num{#5}}{-\num{\fpeval{0-#5}}}$ a une unique solution : \opdiv*{\Coeffb}{\Coeffa}{solution}{resteequa}\opcmp{resteequa}{0}$\ifboolKV[ClesEquation]{LettreSol}{\useKV[ClesEquation]{Lettre}=}{}\displaystyle\ifopeq\opexport{solution}{\solution}\num{\solution}\else\ifboolKV[ClesEquation]{Entier}{\SSimplifie{\Coeffb}{\Coeffa}}{\frac{\num{\Coeffb}}{\num{\Coeffa}}}\fi$.%
               }{}
             }{%ax+b=cx+d avec a<c              % Autre cas délicat
               \begin{align*}%
-                \xintifboolexpr{#2=1}{}{\num{#2}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#3>0}{+\num{#3}}{-\num{\fpeval{0-#3}}}\xintifboolexpr{#3>0}{\stackMath\Longstack{$\tiny$\color{Cdecomp}-\num{#3} {}}\stackText}{\stackMath\Longstack{$\tiny$\color{Cdecomp}+\num{\fpeval{0-#3}} {}}\stackText}%
-                &=\xintifboolexpr{#4=1}{}{\num{#4}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#5>0}{+\num{#5}}{-\num{\fpeval{0-#5}}}\xintifboolexpr{#3>0}{\stackMath\Longstack{$\tiny$\color{Cdecomp}-\num{#3} {}}\stackText}{\stackMath\Longstack{$\tiny$\color{Cdecomp}+\num{\fpeval{0-#3}} {}}\stackText}
+                \xintifboolexpr{#2==1}{}{\num{#2}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#3>0}{+\num{#3}}{-\num{\fpeval{0-#3}}}\xintifboolexpr{#3>0}{\stackMath\Longstack{$\tiny$\color{Cdecomp}-\num{#3} {}}\stackText}{\stackMath\Longstack{$\tiny$\color{Cdecomp}+\num{\fpeval{0-#3}} {}}\stackText}%
+                &=\xintifboolexpr{#4==1}{}{\num{#4}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#5>0}{+\num{#5}}{-\num{\fpeval{0-#5}}}\xintifboolexpr{#3>0}{\stackMath\Longstack{$\tiny$\color{Cdecomp}-\num{#3} {}}\stackText}{\stackMath\Longstack{$\tiny$\color{Cdecomp}+\num{\fpeval{0-#3}} {}}\stackText}
                 \\
                 \xdef\Coeffa{\fpeval{#2-#4}}\xdef\Coeffb{\fpeval{#5-#3}}%\\
-                \xintifboolexpr{#2=1}{}{\num{#2}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#4>0}{\stackMath\Longstack{$\tiny$\color{Cdecomp}-\num{#4}\useKV[ClesEquation]{Lettre} {}}\stackText}{\stackMath\Longstack{$\tiny$\color{Cdecomp}+\num{\fpeval{0-#4}}\useKV[ClesEquation]{Lettre} {}}\stackText}&=\xintifboolexpr{#4=1}{}{\num{#4}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#4>0}{\stackMath\Longstack{$\tiny$\color{Cdecomp}-\num{#4}\useKV[ClesEquation]{Lettre} {}}\stackText}{\stackMath\Longstack{$\tiny$\color{Cdecomp}+\num{\fpeval{0-#4}}\useKV[ClesEquation]{Lettre} {}}\stackText}\xintifboolexpr{\Coeffb>0}{+\num{\Coeffb}}{-\num{\fpeval{0-\Coeffb}}}\\
-                \xintifboolexpr{\Coeffa=1}{\useKV[ClesEquation]{Lettre}}{\color{Cdecomp}\frac{\cancel{\color{black}\num{\Coeffa}}\color{black}\useKV[ClesEquation]{Lettre}}{\cancel{\num{\Coeffa}}}}&=\xintifboolexpr{\Coeffa=1}{\num{\Coeffb}}{\color{Cdecomp}\frac{\color{black}\num{\Coeffb}}{\num{\Coeffa}}}%\\
-                \xintifboolexpr{\Coeffa=1}{}{\\}
-                \xintifboolexpr{\Coeffa=1}{% 
+                \xintifboolexpr{#2==1}{}{\num{#2}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#4>0}{\stackMath\Longstack{$\tiny$\color{Cdecomp}-\num{#4}\useKV[ClesEquation]{Lettre} {}}\stackText}{\stackMath\Longstack{$\tiny$\color{Cdecomp}+\num{\fpeval{0-#4}}\useKV[ClesEquation]{Lettre} {}}\stackText}&=\xintifboolexpr{#4==1}{}{\num{#4}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#4>0}{\stackMath\Longstack{$\tiny$\color{Cdecomp}-\num{#4}\useKV[ClesEquation]{Lettre} {}}\stackText}{\stackMath\Longstack{$\tiny$\color{Cdecomp}+\num{\fpeval{0-#4}}\useKV[ClesEquation]{Lettre} {}}\stackText}\xintifboolexpr{\Coeffb>0}{+\num{\Coeffb}}{-\num{\fpeval{0-\Coeffb}}}\\
+                \xintifboolexpr{\Coeffa==1}{\useKV[ClesEquation]{Lettre}}{\color{Cdecomp}\frac{\cancel{\color{black}\num{\Coeffa}}\color{black}\useKV[ClesEquation]{Lettre}}{\cancel{\num{\Coeffa}}}}&=\xintifboolexpr{\Coeffa==1}{\num{\Coeffb}}{\color{Cdecomp}\frac{\color{black}\num{\Coeffb}}{\num{\Coeffa}}}%\\
+                \xintifboolexpr{\Coeffa==1}{}{\\}
+                \xintifboolexpr{\Coeffa==1}{% 
                 }{%\ifnum\cmtd>1
                 \useKV[ClesEquation]{Lettre}&=\frac{\num{\Coeffb}}{\num{\Coeffa}}%\\
+                %% decimal
+                \ifboolKV[ClesEquation]{Decimal}{%
+                \\\useKV[ClesEquation]{Lettre}&=\num{\fpeval{\Coeffb/\Coeffa}}%
+                                                }{}%
+                                        %%%
                 \ifboolKV[ClesEquation]{Entier}{%
                 \SSimpliTest{\Coeffb}{\Coeffa}%
                 \ifboolKV[ClesEquation]{Simplification}{%
@@ -215,7 +245,7 @@
                 }{}
                 }
               \end{align*}
-              \ifboolKV[ClesEquation]{Solution}{L'équation $\xintifboolexpr{#2=1}{}{\num{#2}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#3>0}{+\num{#3}}{-\num{\fpeval{0-#3}}}=\xintifboolexpr{#4=1}{}{\num{#4}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#5>0}{+\num{#5}}{-\num{\fpeval{0-#5}}}$ a une unique solution : \opdiv*{\Coeffb}{\Coeffa}{solution}{resteequa}\opcmp{resteequa}{0}$\ifboolKV[ClesEquation]{LettreSol}{\useKV[ClesEquation]{Lettre}=}{}\displaystyle\ifopeq\opexport{solution}{\solution}\num{\solution}\else\ifboolKV[ClesEquation]{Entier}{\SSimplifie{\Coeffb}{\Coeffa}}{\frac{\num{\Coeffb}}{\num{\Coeffa}}}\fi$.%
+              \ifboolKV[ClesEquation]{Solution}{L'équation $\xintifboolexpr{#2==1}{}{\num{#2}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#3>0}{+\num{#3}}{-\num{\fpeval{0-#3}}}=\xintifboolexpr{#4==1}{}{\num{#4}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#5>0}{+\num{#5}}{-\num{\fpeval{0-#5}}}$ a une unique solution : \opdiv*{\Coeffb}{\Coeffa}{solution}{resteequa}\opcmp{resteequa}{0}$\ifboolKV[ClesEquation]{LettreSol}{\useKV[ClesEquation]{Lettre}=}{}\displaystyle\ifopeq\opexport{solution}{\solution}\num{\solution}\else\ifboolKV[ClesEquation]{Entier}{\SSimplifie{\Coeffb}{\Coeffa}}{\frac{\num{\Coeffb}}{\num{\Coeffa}}}\fi$.%
               }{}%
             }%
           }%
diff --git a/Master/texmf-dist/tex/latex/profcollege/PfCEquationPose1.tex b/Master/texmf-dist/tex/latex/profcollege/PfCEquationPose1.tex
index 1137140d28a..8bc7bb339f2 100644
--- a/Master/texmf-dist/tex/latex/profcollege/PfCEquationPose1.tex
+++ b/Master/texmf-dist/tex/latex/profcollege/PfCEquationPose1.tex
@@ -9,28 +9,28 @@
   \EquaBaseL[#1]{#4}{}{}{#3}
   \else
   % si non, on est dans le cas ax=d
-  \xintifboolexpr{#2=0}{%
-    \xintifboolexpr{#5=0}{%
+  \xintifboolexpr{#2==0}{%
+    \xintifboolexpr{#5==0}{%
       L'équation $0\useKV[ClesEquation]{Lettre}=0$ a une infinité de solutions.}{L'équation $0\useKV[ClesEquation]{Lettre}=\num{#5}$ n'a aucune solution.}%
   }{%\else
-    \xintifboolexpr{#5=0}{L'équation $\num{#2}\useKV[ClesEquation]{Lettre}=0$ a une unique solution : $\useKV[ClesEquation]{Lettre}=0$.}{%\else
+    \xintifboolexpr{#5==0}{L'équation $\num{#2}\useKV[ClesEquation]{Lettre}=0$ a une unique solution : $\useKV[ClesEquation]{Lettre}=0$.}{%\else
       \begin{align*}%
-        \xintifboolexpr{#2=1}{\useKV[ClesEquation]{Lettre}}{\num{#2}\useKV[ClesEquation]{Lettre}}&=\num{#5}\\
-        \xintifboolexpr{#2=1}{}{%
+        \xintifboolexpr{#2==1}{\useKV[ClesEquation]{Lettre}}{\num{#2}\useKV[ClesEquation]{Lettre}}&=\num{#5}\\
+        \xintifboolexpr{#2==1}{}{%
         \mathcolor{Cdecomp}{\mathrel{\div}\xintifboolexpr{#2<0}{(\num{#2})}{\num{#2}}}\phantom{\useKV[ClesEquation]{Lettre}}&\phantom{=}\mathcolor{Cdecomp}{\mathrel{\div}\xintifboolexpr{#2<0}{(\num{#2})}{\num{#2}}}\\}
         \useKV[ClesEquation]{Lettre}&=\frac{\num{#5}}{\num{#2}}%\\
+        \ifboolKV[ClesEquation]{Decimal}{%
+        \\\useKV[ClesEquation]{Lettre}&=\num{\fpeval{#5/#2}}%
+                                        }{}%
+%                                        %%%
         \ifboolKV[ClesEquation]{Entier}{%
         \SSimpliTest{#5}{#2}%
         \ifboolKV[ClesEquation]{Simplification}{%
         \ifthenelse{\boolean{Simplification}}{\\\useKV[ClesEquation]{Lettre}&=\SSimplifie{#5}{#2}}{}%\\
         }{}
         }{}
-        %\ifboolKV[ClesEquation]{Fleches}{%
-        %\stepcounter{Nbequa}}%
-        %{\ifboolKV[ClesEquation]{FlecheDiv}{\stepcounter{Nbequa}}{}
-        %}
       \end{align*}
-      \ifboolKV[ClesEquation]{Solution}{L'équation $\xintifboolexpr{#2=1}{\useKV[ClesEquation]{Lettre}=\num{#5}}{\num{#2}\useKV[ClesEquation]{Lettre}=\num{#5}}$ a une unique solution : $\displaystyle\ifboolKV[ClesEquation]{LettreSol}{\useKV[ClesEquation]{Lettre}=}{}\opdiv*{#5}{#2}{numequa}{resteequa}\opcmp{resteequa}{0}\ifopeq\opexport{numequa}{\numequa}\num{\numequa}\else\ifboolKV[ClesEquation]{Simplification}{\SSimplifie{#5}{#2}}{\frac{\num{#5}}{\num{#2}}}\fi$.%
+      \ifboolKV[ClesEquation]{Solution}{L'équation $\xintifboolexpr{#2==1}{\useKV[ClesEquation]{Lettre}=\num{#5}}{\num{#2}\useKV[ClesEquation]{Lettre}=\num{#5}}$ a une unique solution : $\displaystyle\ifboolKV[ClesEquation]{LettreSol}{\useKV[ClesEquation]{Lettre}=}{}\opdiv*{#5}{#2}{numequa}{resteequa}\opcmp{resteequa}{0}\ifopeq\opexport{numequa}{\numequa}\num{\numequa}\else\ifboolKV[ClesEquation]{Simplification}{\SSimplifie{#5}{#2}}{\frac{\num{#5}}{\num{#2}}}\fi$.%
       }{}
     }
   }
@@ -43,26 +43,30 @@
   \ifx\bla#2\bla%On échange en faisant attention à ne pas boucler : c doit être non vide
     \EquaDeuxL[#1]{#4}{#5}{#2}{#3}
   \else%cas ax+b=d
-    \xintifboolexpr{#2=0}{%
-      \xintifboolexpr{#3=#5}{%b=d
+    \xintifboolexpr{#2==0}{%
+      \xintifboolexpr{#3==#5}{%b=d
         L'équation $\num{#3}=\num{#5}$ a une infinité de solutions.}%
       {%b<>d
         L'équation $\num{#3}=\num{#5}$ n'a aucune solution.%
       }%
     }{%ELSE
-      \xintifboolexpr{#3=0}{%ax+b=d
+      \xintifboolexpr{#3==0}{%ax+b=d
         \EquaBaseL[#1]{#2}{}{}{#5}%
       }{%ax+b=d$ Ici
         \begin{align*}
-          \xintifboolexpr{#2=1}{}{\num{#2}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#3>0}{+\num{#3}}{-\num{\fpeval{0-#3}}}&=\num{#5}\\
-          \phantom{\xintifboolexpr{#2=1}{}{\num{#2}}\useKV[ClesEquation]{Lettre}}\mathcolor{Cdecomp}{\xintifboolexpr{#3>0}{-\num{#3}}{+\num{\fpeval{0-#3}}}}&\phantom{\mathrel{=}}\mathcolor{Cdecomp}{\xintifboolexpr{#3>0}{-\num{#3}}{+\num{\fpeval{0-#3}}}}\\
-          \xdef\Coeffa{#2}\xdef\Coeffb{\fpeval{#5-#3}}\xintifboolexpr{\Coeffa=1}{}{\num{\Coeffa}}\useKV[ClesEquation]{Lettre}\phantom{\xintifboolexpr{#3>0}{{}+{}\num{#3}}{{}-{}\num{\fpeval{0-#3}}}}&=\num{\Coeffb}%\\
-          \xintifboolexpr{\Coeffa=1}{}{\\}
-          \xintifboolexpr{\Coeffa=1}{% 
+          \xintifboolexpr{#2==1}{}{\num{#2}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#3>0}{+\num{#3}}{-\num{\fpeval{0-#3}}}&=\num{#5}\\
+          \phantom{\xintifboolexpr{#2==1}{}{\num{#2}}\useKV[ClesEquation]{Lettre}}\mathcolor{Cdecomp}{\xintifboolexpr{#3>0}{-\num{#3}}{+\num{\fpeval{0-#3}}}}&\phantom{\mathrel{=}}\mathcolor{Cdecomp}{\xintifboolexpr{#3>0}{-\num{#3}}{+\num{\fpeval{0-#3}}}}\\
+          \xdef\Coeffa{#2}\xdef\Coeffb{\fpeval{#5-#3}}\xintifboolexpr{\Coeffa==1}{}{\num{\Coeffa}}\useKV[ClesEquation]{Lettre}\phantom{\xintifboolexpr{#3>0}{{}+{}\num{#3}}{{}-{}\num{\fpeval{0-#3}}}}&=\num{\Coeffb}%\\
+          \xintifboolexpr{\Coeffa==1}{}{\\}
+          \xintifboolexpr{\Coeffa==1}{% 
           }{%\ifnum\cmtd>1
           \mathcolor{Cdecomp}{\mathrel{\div}\xintifboolexpr{#2<0}{(\num{#2})}{\num{#2}}}\phantom{\useKV[ClesEquation]{Lettre}}\phantom{\xintifboolexpr{#3>0}{{}+{}\num{#3}}{{}-{}\num{\fpeval{0-#3}}}}&\phantom{=}\mathcolor{Cdecomp}{\mathrel{\div}\xintifboolexpr{#2<0}{(\num{#2})}{\num{#2}}}\\
           \useKV[ClesEquation]{Lettre}\phantom{\xintifboolexpr{#3>0}{{}+{}\num{#3}}{{}-{}\num{\fpeval{0-#3}}}}&=\frac{\num{\Coeffb}}{\num{\Coeffa}}%\\
           }
+          \ifboolKV[ClesEquation]{Decimal}{%
+          \\\useKV[ClesEquation]{Lettre}\phantom{\xintifboolexpr{#3>0}{{}+{}\num{#3}}{{}-{}\num{\fpeval{0-#3}}}}&=\num{\fpeval{\Coeffb/\Coeffa}}%
+                                          }{}%
+%                                        %%%
           \ifboolKV[ClesEquation]{Entier}{%
           \SSimpliTest{\Coeffb}{\Coeffa}%
           \ifboolKV[ClesEquation]{Simplification}{%
@@ -72,7 +76,7 @@
           }{}
           }{}
         \end{align*}
-        \ifboolKV[ClesEquation]{Solution}{L'équation $\xintifboolexpr{#2=1}{}{\num{#2}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#3>0}{+\num{#3}}{-\num{\fpeval{0-#3}}}=\num{#5}$ a une unique solution : \opdiv*{\Coeffb}{\Coeffa}{solution}{resteequa}\opcmp{resteequa}{0}$\ifboolKV[ClesEquation]{LettreSol}{\useKV[ClesEquation]{Lettre}=}{}\displaystyle\ifopeq\opexport{solution}{\solution}\num{\solution}\else\ifboolKV[ClesEquation]{Entier}{\SSimplifie{\Coeffb}{\Coeffa}}{\frac{\num{\Coeffb}}{\num{\Coeffa}}}\fi$.
+        \ifboolKV[ClesEquation]{Solution}{L'équation $\xintifboolexpr{#2==1}{}{\num{#2}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#3>0}{+\num{#3}}{-\num{\fpeval{0-#3}}}=\num{#5}$ a une unique solution : \opdiv*{\Coeffb}{\Coeffa}{solution}{resteequa}\opcmp{resteequa}{0}$\ifboolKV[ClesEquation]{LettreSol}{\useKV[ClesEquation]{Lettre}=}{}\displaystyle\ifopeq\opexport{solution}{\solution}\num{\solution}\else\ifboolKV[ClesEquation]{Entier}{\SSimplifie{\Coeffb}{\Coeffa}}{\frac{\num{\Coeffb}}{\num{\Coeffa}}}\fi$.
         }{}
       }
     }
@@ -89,32 +93,36 @@
       \EquaTroisL[#1]{#4}{#5}{#2}{}%
     \fi
   \else
-  \xintifboolexpr{#2=0}{%b=cx
+  \xintifboolexpr{#2==0}{%b=cx
     \EquaBaseL[#1]{#4}{}{}{#3}
   }{%
-    \xintifboolexpr{#4=0}{%ax+b=0
+    \xintifboolexpr{#4==0}{%ax+b=0
       \EquaDeuxL[#1]{#2}{#3}{}{0}
       }{%ax+b=cx
-        \xintifboolexpr{#2=#4}{%
-          \xintifboolexpr{#3=0}{%ax=ax
-            L'équation $\xintifboolexpr{#2=1}{}{\num{#2}}\useKV[ClesEquation]{Lettre}=\xintifboolexpr{#4=1}{}{\num{#4}}\useKV[ClesEquation]{Lettre}$ a une infinité de solutions.}%
+        \xintifboolexpr{#2==#4}{%
+          \xintifboolexpr{#3==0}{%ax=ax
+            L'équation $\xintifboolexpr{#2==1}{}{\num{#2}}\useKV[ClesEquation]{Lettre}=\xintifboolexpr{#4==1}{}{\num{#4}}\useKV[ClesEquation]{Lettre}$ a une infinité de solutions.}%
           {%ax+b=ax
-            L'équation $\xintifboolexpr{#2=1}{}{\num{#2}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#3>0}{+\num{#3}}{-\num{\fpeval{0-#3}}}=\xintifboolexpr{#4=1}{}{\num{#4}}\useKV[ClesEquation]{Lettre}$ n'a aucune solution.%
+            L'équation $\xintifboolexpr{#2==1}{}{\num{#2}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#3>0}{+\num{#3}}{-\num{\fpeval{0-#3}}}=\xintifboolexpr{#4==1}{}{\num{#4}}\useKV[ClesEquation]{Lettre}$ n'a aucune solution.%
           }%
         }{%% Cas délicat
           \xintifboolexpr{#2>#4}{%ax+b=cx avec a>c
             \begin{align*}
-              \xintifboolexpr{#2=1}{}{\num{#2}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#3>0}{+\num{#3}}{-\num{\fpeval{0-#3}}}&=\xintifboolexpr{#4=1}{}{\num{#4}}\useKV[ClesEquation]{Lettre}\\
+              \xintifboolexpr{#2==1}{}{\num{#2}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#3>0}{+\num{#3}}{-\num{\fpeval{0-#3}}}&=\xintifboolexpr{#4==1}{}{\num{#4}}\useKV[ClesEquation]{Lettre}\\
                 \mathcolor{Cdecomp}{\xintifboolexpr{#4>0}{{}-{}\num{#4}\useKV[ClesEquation]{Lettre}}{{}+{}\num{\fpeval{0-#4}}\useKV[ClesEquation]{Lettre}}}\phantom{\xintifboolexpr{#3>0}{{}+{}\num{#3}}{{}-{}\num{\fpeval{0-#3}}}}&\phantom{{}={}}\mathcolor{Cdecomp}{\xintifboolexpr{#4>0}{-\num{#4}\useKV[ClesEquation]{Lettre}}{+\num{\fpeval{0-#4}}\useKV[ClesEquation]{Lettre}}}\\
-              \xdef\Coeffa{\fpeval{#2-#4}}\xintifboolexpr{\Coeffa=1}{}{\num{\Coeffa}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#3>0}{+\num{#3}}{-\num{\fpeval{0-#3}}}&=0\\
-              \phantom{\xintifboolexpr{\Coeffa=1}{}{\num{\Coeffa}}\useKV[ClesEquation]{Lettre}}\mathcolor{Cdecomp}{\xintifboolexpr{#3>0}{{}-{}\num{#3}}{{}+{}\num{\fpeval{0-#3}}}}&\phantom{\mathrel{=}}\mathcolor{Cdecomp}{\xintifboolexpr{#3>0}{{}-{}\num{#3}}{{}+{}\num{\fpeval{0-#3}}}}\\
-              \xdef\Coeffb{\fpeval{0-#3}}\xintifboolexpr{\Coeffa=1}{}{\num{\Coeffa}}\useKV[ClesEquation]{Lettre}\phantom{\xintifboolexpr{#3>0}{{}+{}\num{#3}}{{}-{}\num{\fpeval{0-#3}}}}&=\num{\Coeffb}%\\
-              \xintifboolexpr{\Coeffa=1}{}{\\}
-              \xintifboolexpr{\Coeffa=1}{% 
+              \xdef\Coeffa{\fpeval{#2-#4}}\xintifboolexpr{\Coeffa==1}{}{\num{\Coeffa}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#3>0}{+\num{#3}}{-\num{\fpeval{0-#3}}}&=0\\
+              \phantom{\xintifboolexpr{\Coeffa==1}{}{\num{\Coeffa}}\useKV[ClesEquation]{Lettre}}\mathcolor{Cdecomp}{\xintifboolexpr{#3>0}{{}-{}\num{#3}}{{}+{}\num{\fpeval{0-#3}}}}&\phantom{\mathrel{=}}\mathcolor{Cdecomp}{\xintifboolexpr{#3>0}{{}-{}\num{#3}}{{}+{}\num{\fpeval{0-#3}}}}\\
+              \xdef\Coeffb{\fpeval{0-#3}}\xintifboolexpr{\Coeffa==1}{}{\num{\Coeffa}}\useKV[ClesEquation]{Lettre}\phantom{\xintifboolexpr{#3>0}{{}+{}\num{#3}}{{}-{}\num{\fpeval{0-#3}}}}&=\num{\Coeffb}%\\
+              \xintifboolexpr{\Coeffa==1}{}{\\}
+              \xintifboolexpr{\Coeffa==1}{% 
               }{%\ifnum\cmtd>1
               \mathcolor{Cdecomp}{\mathrel{\div}\xintifboolexpr{\Coeffa<0}{(\num{\Coeffa})}{\num{\Coeffa}}}\phantom{\useKV[ClesEquation]{Lettre}}\phantom{\xintifboolexpr{#3>0}{{}+{}\num{#3}}{{}-{}\num{\fpeval{0-#3}}}}&\phantom{=}\mathcolor{Cdecomp}{\mathrel{\div}\xintifboolexpr{\Coeffa<0}{(\num{\Coeffa})}{\num{\Coeffa}}}\\
               \useKV[ClesEquation]{Lettre}\phantom{\xintifboolexpr{#3>0}{{}+{}\num{#3}}{{}-{}\num{\fpeval{0-#3}}}}&=\frac{\num{\Coeffb}}{\num{\Coeffa}}%\\
               }
+              \ifboolKV[ClesEquation]{Decimal}{%
+              \\\useKV[ClesEquation]{Lettre}\phantom{\xintifboolexpr{#3>0}{{}+{}\num{#3}}{{}-{}\num{\fpeval{0-#3}}}}&=\num{\fpeval{\Coeffb/\Coeffa}}%
+                                        }{}%
+%                                        %%%
               \ifboolKV[ClesEquation]{Entier}{%
               \SSimpliTest{\Coeffb}{\Coeffa}%
               \ifboolKV[ClesEquation]{Simplification}{%
@@ -124,18 +132,22 @@
               }{}
               }{}
             \end{align*}
-            \ifboolKV[ClesEquation]{Solution}{L'équation $\xintifboolexpr{#2=1}{}{\num{#2}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#3>0}{+\num{#3}}{-\num{\fpeval{0-#3}}}=\xintifboolexpr{#4=1}{}{\num{#4}}\useKV[ClesEquation]{Lettre}$ a une unique solution : \opdiv*{\Coeffb}{\Coeffa}{solution}{resteequa}\opcmp{resteequa}{0}$\ifboolKV[ClesEquation]{LettreSol}{\useKV[ClesEquation]{Lettre}=}{}\displaystyle\ifopeq\opexport{solution}{\solution}\num{\solution}\else\ifboolKV[ClesEquation]{Entier}{\SSimplifie{\Coeffb}{\Coeffa}}{\frac{\num{\Coeffb}}{\num{\Coeffa}}}\fi$.}{}
+            \ifboolKV[ClesEquation]{Solution}{L'équation $\xintifboolexpr{#2==1}{}{\num{#2}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#3>0}{+\num{#3}}{-\num{\fpeval{0-#3}}}=\xintifboolexpr{#4==1}{}{\num{#4}}\useKV[ClesEquation]{Lettre}$ a une unique solution : \opdiv*{\Coeffb}{\Coeffa}{solution}{resteequa}\opcmp{resteequa}{0}$\ifboolKV[ClesEquation]{LettreSol}{\useKV[ClesEquation]{Lettre}=}{}\displaystyle\ifopeq\opexport{solution}{\solution}\num{\solution}\else\ifboolKV[ClesEquation]{Entier}{\SSimplifie{\Coeffb}{\Coeffa}}{\frac{\num{\Coeffb}}{\num{\Coeffa}}}\fi$.}{}
             }{%ax+b=cx+d avec a<c              % Autre cas délicat
               \begin{align*}%
-                \xintifboolexpr{#2=1}{}{\num{#2}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#3>0}{+\num{#3}}{-\num{\fpeval{0-#3}}}&=\xintifboolexpr{#4=1}{}{\num{#4}}\useKV[ClesEquation]{Lettre}\\
+                \xintifboolexpr{#2==1}{}{\num{#2}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#3>0}{+\num{#3}}{-\num{\fpeval{0-#3}}}&=\xintifboolexpr{#4==1}{}{\num{#4}}\useKV[ClesEquation]{Lettre}\\
                 \mathcolor{Cdecomp}{\xintifboolexpr{#2>0}{{}-{}\num{#2}\useKV[ClesEquation]{Lettre}}{{}+{}\num{\fpeval{0-#2}}\useKV[ClesEquation]{Lettre}}}\phantom{\xintifboolexpr{#3>0}{{}+{}\num{#3}}{{}-{}\num{\fpeval{0-#3}}}}&\phantom{{}={}}\mathcolor{Cdecomp}{\xintifboolexpr{#2>0}{{}-{}\num{#2}\useKV[ClesEquation]{Lettre}}{{}+{}\num{\fpeval{0-#2}}\useKV[ClesEquation]{Lettre}}}\\
-                \xdef\Coeffb{#3}\xdef\Coeffa{\fpeval{#4-#2}}\xintifboolexpr{#3>0}{\num{#3}}{-\num{\fpeval{0-#3}}}&=\xintifboolexpr{\Coeffa=1}{}{\num{\Coeffa}}\useKV[ClesEquation]{Lettre}%\\
-                \xintifboolexpr{\Coeffa=1}{}{\\}
-                \xintifboolexpr{\Coeffa=1}{% 
+                \xdef\Coeffb{#3}\xdef\Coeffa{\fpeval{#4-#2}}\xintifboolexpr{#3>0}{\num{#3}}{-\num{\fpeval{0-#3}}}&=\xintifboolexpr{\Coeffa==1}{}{\num{\Coeffa}}\useKV[ClesEquation]{Lettre}%\\
+                \xintifboolexpr{\Coeffa==1}{}{\\}
+                \xintifboolexpr{\Coeffa==1}{% 
                 }{%\ifnum\cmtd>1
                 \mathcolor{Cdecomp}{\mathrel{\div}\xintifboolexpr{\Coeffa<0}{(\num{\Coeffa})}{\num{\Coeffa}}}&\phantom{=}\mathcolor{Cdecomp}{\mathrel{\div}\xintifboolexpr{\Coeffa<0}{(\num{\Coeffa})}{\num{\Coeffa}}}\\
               \frac{\num{\Coeffb}}{\num{\Coeffa}}&=\phantom{\num{\Coeffa}}\useKV[ClesEquation]{Lettre}%\\
-              }
+                }
+                \ifboolKV[ClesEquation]{Decimal}{%
+                \\\num{\fpeval{\Coeffb/\Coeffa}}&=\phantom{\num{\Coeffa}}\useKV[ClesEquation]{Lettre}%
+                                                }{}%
+%                                        %%%
               \ifboolKV[ClesEquation]{Entier}{%
               \SSimpliTest{\Coeffb}{\Coeffa}%
               \ifboolKV[ClesEquation]{Simplification}{%
@@ -145,7 +157,7 @@
               }{}
               }{}
               \end{align*}
-              \ifboolKV[ClesEquation]{Solution}{L'équation $\xintifboolexpr{#2=1}{}{\num{#2}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#3>0}{+\num{#3}}{-\num{\fpeval{0-#3}}}=\xintifboolexpr{#4=1}{}{\num{#4}}\useKV[ClesEquation]{Lettre}$ a une unique solution : \opdiv*{\Coeffb}{\Coeffa}{solution}{resteequa}\opcmp{resteequa}{0}$\ifboolKV[ClesEquation]{LettreSol}{\useKV[ClesEquation]{Lettre}=}{}\displaystyle\ifopeq\opexport{solution}{\solution}\num{\solution}\else\ifboolKV[ClesEquation]{Entier}{\SSimplifie{\Coeffb}{\Coeffa}}{\frac{\num{\Coeffb}}{\num{\Coeffa}}}\fi$.}{}%
+              \ifboolKV[ClesEquation]{Solution}{L'équation $\xintifboolexpr{#2==1}{}{\num{#2}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#3>0}{+\num{#3}}{-\num{\fpeval{0-#3}}}=\xintifboolexpr{#4==1}{}{\num{#4}}\useKV[ClesEquation]{Lettre}$ a une unique solution : \opdiv*{\Coeffb}{\Coeffa}{solution}{resteequa}\opcmp{resteequa}{0}$\ifboolKV[ClesEquation]{LettreSol}{\useKV[ClesEquation]{Lettre}=}{}\displaystyle\ifopeq\opexport{solution}{\solution}\num{\solution}\else\ifboolKV[ClesEquation]{Entier}{\SSimplifie{\Coeffb}{\Coeffa}}{\frac{\num{\Coeffb}}{\num{\Coeffa}}}\fi$.}{}%
             }%
           }%
         }%
@@ -157,9 +169,9 @@
 \newcommand{\ResolEquationL}[5][]{%
   \useKVdefault[ClesEquation]%
   \setKV[ClesEquation]{#1}%
-  \xintifboolexpr{#2=0}{%
-    \xintifboolexpr{#4=0}{%
-      \xintifboolexpr{#3=#5}{%b=d
+  \xintifboolexpr{#2==0}{%
+    \xintifboolexpr{#4==0}{%
+      \xintifboolexpr{#3==#5}{%b=d
         L'équation $\num{#3}=\num{#5}$ a une infinité de solutions.}%
       {%b<>d
         L'équation $\num{#3}=\num{#5}$ n'a aucune solution.%
@@ -169,65 +181,73 @@
       \EquaDeuxL[#1]{#4}{#5}{}{#3}%
     }%
   }{%
-    \xintifboolexpr{#4=0}{%ax+b=0x+d
+    \xintifboolexpr{#4==0}{%ax+b=0x+d
       \EquaDeuxL[#1]{#2}{#3}{}{#5}%
     }
     {%ax+b=cx+d$
-      \xintifboolexpr{#3=0}{%
-        \xintifboolexpr{#5=0}{%ax=cx
+      \xintifboolexpr{#3==0}{%
+        \xintifboolexpr{#5==0}{%ax=cx
           \EquaTroisL[#1]{#2}{0}{#4}{}%
         }%
         {%ax=cx+d
           \EquaTroisL[#1]{#4}{#5}{#2}{}%
         }%
       }%
-      {\xintifboolexpr{#5=0}{%ax+b=cx
+      {\xintifboolexpr{#5==0}{%ax+b=cx
           \EquaTroisL[#1]{#2}{#3}{#4}{}%
         }%
         {%ax+b=cx+d -- ici
-          \xintifboolexpr{#2=#4}{%
-            \xintifboolexpr{#3=#5}{%b=d
-              L'équation $\xintifboolexpr{#2=1}{}{\num{#2}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#3>0}{+\num{#3}}{-\num{\fpeval{0-#3}}}=\xintifboolexpr{#4=1}{}{\num{#4}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#5>0}{+\num{#5}}{-\num{\fpeval{0-#5}}}$ a une infinité de solutions.}%
+          \xintifboolexpr{#2==#4}{%
+            \xintifboolexpr{#3==#5}{%b=d
+              L'équation $\xintifboolexpr{#2==1}{}{\num{#2}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#3>0}{+\num{#3}}{-\num{\fpeval{0-#3}}}=\xintifboolexpr{#4==1}{}{\num{#4}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#5>0}{+\num{#5}}{-\num{\fpeval{0-#5}}}$ a une infinité de solutions.}%
             {%b<>d
-              L'équation $\xintifboolexpr{#2=1}{}{\num{#2}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#3>0}{+\num{#3}}{-\num{\fpeval{0-#3}}}=\xintifboolexpr{#4=1}{}{\num{#4}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#5>0}{+\num{#5}}{-\num{\fpeval{0-#5}}}$ n'a aucune solution.%
+              L'équation $\xintifboolexpr{#2==1}{}{\num{#2}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#3>0}{+\num{#3}}{-\num{\fpeval{0-#3}}}=\xintifboolexpr{#4==1}{}{\num{#4}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#5>0}{+\num{#5}}{-\num{\fpeval{0-#5}}}$ n'a aucune solution.%
             }%
           }{
             %% Cas délicat
             \xintifboolexpr{#2>#4}{%ax+b=cx+d avec a>c
               \begin{align*}
-                \xintifboolexpr{#2=1}{}{\num{#2}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#3>0}{+\num{#3}}{-\num{\fpeval{0-#3}}}&=\xintifboolexpr{#4=1}{}{\num{#4}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#5>0}{+\num{#5}}{-\num{\fpeval{0-#5}}}\\
+                \xintifboolexpr{#2==1}{}{\num{#2}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#3>0}{+\num{#3}}{-\num{\fpeval{0-#3}}}&=\xintifboolexpr{#4==1}{}{\num{#4}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#5>0}{+\num{#5}}{-\num{\fpeval{0-#5}}}\\
                 \mathcolor{Cdecomp}{\xintifboolexpr{#4>0}{{}-{}\num{#4}\useKV[ClesEquation]{Lettre}}{{}+{}\num{\fpeval{0-#4}}\useKV[ClesEquation]{Lettre}}}\phantom{\xintifboolexpr{#3>0}{{}+{}\num{#3}}{{}-{}\num{\fpeval{0-#3}}}}&\mathcolor{Cdecomp}{\xintifboolexpr{#4>0}{{}-{}\num{#4}\useKV[ClesEquation]{Lettre}}{\phantom{{}={}}+{}\num{\fpeval{0-#4}}\useKV[ClesEquation]{Lettre}}}\\
-                \xdef\Coeffa{\fpeval{#2-#4}}\xintifboolexpr{\Coeffa=1}{}{\num{\Coeffa}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#3>0}{+\num{#3}}{-\num{\fpeval{0-#3}}}&=\phantom{\xintifboolexpr{#4=1}{}{\num{#4}}\useKV[ClesEquation]{Lettre}}\xintifboolexpr{#5>0}{\phantom{{}+{}}\num{#5}}{-\num{\fpeval{0-#5}}}\\
-                \mathcolor{Cdecomp}{\xintifboolexpr{#3>0}{{}-{}\num{#3}}{{}+{}\num{\fpeval{0-#3}}}}&\phantom{{}={}\xintifboolexpr{#4=1}{}{\num{#4}}\useKV[ClesEquation]{Lettre}}\mathcolor{Cdecomp}{\xintifboolexpr{#3>0}{{}-{}\num{#3}}{{}+{}\num{\fpeval{0-#3}}}}\\
-                \xdef\Coeffb{\fpeval{#5-#3}}\xintifboolexpr{\Coeffa=1}{}{\num{\Coeffa}}\useKV[ClesEquation]{Lettre}\phantom{\xintifboolexpr{#3>0}{{}+{}\num{#3}}{{}-{}\num{\fpeval{0-#3}}}}&=\phantom{\xintifboolexpr{#4=1}{}{\num{#4}}\useKV[ClesEquation]{Lettre}}\xintifboolexpr{\Coeffb>0}{\phantom{{}+{}}\num{\Coeffb}}{{}-{}\num{\fpeval{0-\Coeffb}}}%\\
-                \xintifboolexpr{\Coeffa=1}{}{\\}
-                \xintifboolexpr{\Coeffa=1}{}{%\ifnum\cmtd>1
-                \mathcolor{Cdecomp}{\mathrel{\div}\xintifboolexpr{\Coeffa<0}{(\num{\Coeffa})}{\num{\Coeffa}}}\phantom{\useKV[ClesEquation]{Lettre}}\phantom{\xintifboolexpr{#3>0}{{}+{}\num{#3}}{{}-{}\num{\fpeval{0-#3}}}}&\phantom{{}={}}\phantom{\xintifboolexpr{#4=1}{}{\num{#4}}\useKV[ClesEquation]{Lettre}}\mathcolor{Cdecomp}{\mathrel{\div}\xintifboolexpr{\Coeffa<0}{(\num{\Coeffa})}{\num{\Coeffa}}}\\
-                \phantom{\xintifboolexpr{\Coeffa=1}{}{\num{\Coeffa}}}\useKV[ClesEquation]{Lettre}\phantom{\xintifboolexpr{#3>0}{{}+{}\num{#3}}{{}-{}\num{\fpeval{0-#3}}}}&=\phantom{\xintifboolexpr{#4=1}{}{\num{#4}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{\Coeffb>0}{{}+{}}{}}\frac{\num{\Coeffb}}{\num{\Coeffa}}%\\
+                \xdef\Coeffa{\fpeval{#2-#4}}\xintifboolexpr{\Coeffa==1}{}{\num{\Coeffa}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#3>0}{+\num{#3}}{-\num{\fpeval{0-#3}}}&=\phantom{\xintifboolexpr{#4==1}{}{\num{#4}}\useKV[ClesEquation]{Lettre}}\xintifboolexpr{#5>0}{\phantom{{}+{}}\num{#5}}{-\num{\fpeval{0-#5}}}\\
+                \mathcolor{Cdecomp}{\xintifboolexpr{#3>0}{{}-{}\num{#3}}{{}+{}\num{\fpeval{0-#3}}}}&\phantom{{}={}\xintifboolexpr{#4==1}{}{\num{#4}}\useKV[ClesEquation]{Lettre}}\mathcolor{Cdecomp}{\xintifboolexpr{#3>0}{{}-{}\num{#3}}{{}+{}\num{\fpeval{0-#3}}}}\\
+                \xdef\Coeffb{\fpeval{#5-#3}}\xintifboolexpr{\Coeffa==1}{}{\num{\Coeffa}}\useKV[ClesEquation]{Lettre}\phantom{\xintifboolexpr{#3>0}{{}+{}\num{#3}}{{}-{}\num{\fpeval{0-#3}}}}&=\phantom{\xintifboolexpr{#4==1}{}{\num{#4}}\useKV[ClesEquation]{Lettre}}\xintifboolexpr{\Coeffb>0}{\phantom{{}+{}}\num{\Coeffb}}{{}-{}\num{\fpeval{0-\Coeffb}}}%\\
+                \xintifboolexpr{\Coeffa==1}{}{\\}
+                \xintifboolexpr{\Coeffa==1}{}{%\ifnum\cmtd>1
+                \mathcolor{Cdecomp}{\mathrel{\div}\xintifboolexpr{\Coeffa<0}{(\num{\Coeffa})}{\num{\Coeffa}}}\phantom{\useKV[ClesEquation]{Lettre}}\phantom{\xintifboolexpr{#3>0}{{}+{}\num{#3}}{{}-{}\num{\fpeval{0-#3}}}}&\phantom{{}={}}\phantom{\xintifboolexpr{#4==1}{}{\num{#4}}\useKV[ClesEquation]{Lettre}}\mathcolor{Cdecomp}{\mathrel{\div}\xintifboolexpr{\Coeffa<0}{(\num{\Coeffa})}{\num{\Coeffa}}}\\
+                \phantom{\xintifboolexpr{\Coeffa==1}{}{\num{\Coeffa}}}\useKV[ClesEquation]{Lettre}\phantom{\xintifboolexpr{#3>0}{{}+{}\num{#3}}{{}-{}\num{\fpeval{0-#3}}}}&=\phantom{\xintifboolexpr{#4==1}{}{\num{#4}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{\Coeffb>0}{{}+{}}{}}\frac{\num{\Coeffb}}{\num{\Coeffa}}%\\
                 }
+                \ifboolKV[ClesEquation]{Decimal}{%
+                \\\useKV[ClesEquation]{Lettre}\phantom{\xintifboolexpr{#3>0}{{}+{}\num{#3}}{{}-{}\num{\fpeval{0-#3}}}}&=\phantom{\xintifboolexpr{#4==1}{}{\num{#4}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{\Coeffb>0}{{}+{}}{}}\num{\fpeval{\Coeffb/\Coeffa}}%
+                                                }{}%
+%                                        %%%
                 \ifboolKV[ClesEquation]{Entier}{%
                 \SSimpliTest{\Coeffb}{\Coeffa}%
                 \ifboolKV[ClesEquation]{Simplification}{%
                 \ifthenelse{\boolean{Simplification}}{\\%
-                \useKV[ClesEquation]{Lettre}\phantom{\xintifboolexpr{#3>0}{{}+{}\num{#3}}{{}-{}\num{\fpeval{0-#3}}}}&=\phantom{\xintifboolexpr{#4=1}{}{\num{#4}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{\Coeffb>0}{{}+{}}{}}\SSimplifie{\Coeffb}{\Coeffa}%\\
+                \useKV[ClesEquation]{Lettre}\phantom{\xintifboolexpr{#3>0}{{}+{}\num{#3}}{{}-{}\num{\fpeval{0-#3}}}}&=\phantom{\xintifboolexpr{#4==1}{}{\num{#4}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{\Coeffb>0}{{}+{}}{}}\SSimplifie{\Coeffb}{\Coeffa}%\\
                 }{}
                 }{}
                 }{}
               \end{align*}
-              \ifboolKV[ClesEquation]{Solution}{L'équation $\xintifboolexpr{#2=1}{}{\num{#2}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#3>0}{+\num{#3}}{-\num{\fpeval{0-#3}}}=\xintifboolexpr{#4=1}{}{\num{#4}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#5>0}{+\num{#5}}{-\num{\fpeval{0-#5}}}$ a une unique solution : \opdiv*{\Coeffb}{\Coeffa}{solution}{resteequa}\opcmp{resteequa}{0}$\ifboolKV[ClesEquation]{LettreSol}{\useKV[ClesEquation]{Lettre}=}{}\displaystyle\ifopeq\opexport{solution}{\solution}\num{\solution}\else\ifboolKV[ClesEquation]{Entier}{\SSimplifie{\Coeffb}{\Coeffa}}{\frac{\num{\Coeffb}}{\num{\Coeffa}}}\fi$.%
+              \ifboolKV[ClesEquation]{Solution}{L'équation $\xintifboolexpr{#2==1}{}{\num{#2}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#3>0}{+\num{#3}}{-\num{\fpeval{0-#3}}}=\xintifboolexpr{#4==1}{}{\num{#4}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#5>0}{+\num{#5}}{-\num{\fpeval{0-#5}}}$ a une unique solution : \opdiv*{\Coeffb}{\Coeffa}{solution}{resteequa}\opcmp{resteequa}{0}$\ifboolKV[ClesEquation]{LettreSol}{\useKV[ClesEquation]{Lettre}=}{}\displaystyle\ifopeq\opexport{solution}{\solution}\num{\solution}\else\ifboolKV[ClesEquation]{Entier}{\SSimplifie{\Coeffb}{\Coeffa}}{\frac{\num{\Coeffb}}{\num{\Coeffa}}}\fi$.%
               }{}
             }{%ax+b=cx+d avec a<c              % Autre cas délicat
               \begin{align*}%
-                \xintifboolexpr{#2=1}{}{\num{#2}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#3>0}{+\num{#3}}{-\num{\fpeval{0-#3}}}&=\xintifboolexpr{#4=1}{}{\num{#4}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#5>0}{+\num{#5}}{-\num{\fpeval{0-#5}}}\\
+                \xintifboolexpr{#2==1}{}{\num{#2}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#3>0}{+\num{#3}}{-\num{\fpeval{0-#3}}}&=\xintifboolexpr{#4==1}{}{\num{#4}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#5>0}{+\num{#5}}{-\num{\fpeval{0-#5}}}\\
                 \mathcolor{Cdecomp}{\xintifboolexpr{#2>0}{{}-{}\num{#2}\useKV[ClesEquation]{Lettre}}{{}+{}\num{\fpeval{0-#2}}\useKV[ClesEquation]{Lettre}}}\phantom{\xintifboolexpr{#3>0}{{}+{}\num{#3}}{{}-{}\num{\fpeval{0-#3}}}}&\xintifboolexpr{#4<0}{\phantom{={}}}{}\mathcolor{Cdecomp}{\xintifboolexpr{#2>0}{{}-{}\num{#2}\useKV[ClesEquation]{Lettre}}{{}+{}\num{\fpeval{0-#2}}\useKV[ClesEquation]{Lettre}}}\\
-                \xdef\Coeffa{\fpeval{#4-#2}}\xintifboolexpr{#3>0}{\num{#3}}{-\num{\fpeval{0-#3}}}&=\xintifboolexpr{\Coeffa=1}{}{\num{\Coeffa}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#5>0}{+\num{#5}}{-\num{\fpeval{0-#5}}}\\
-                \mathcolor{Cdecomp}{\xintifboolexpr{#5>0}{{}-{}\num{#5}}{{}+{}\num{\fpeval{0-#5}}}}&\phantom{{}={}\xintifboolexpr{\Coeffa=1}{}{\num{\Coeffa}}\useKV[ClesEquation]{Lettre}}\mathcolor{Cdecomp}{\xintifboolexpr{#5>0}{-\num{#5}}{+\num{\fpeval{0-#5}}}}\\
-                \xdef\Coeffb{\fpeval{#3-#5}}\num{\Coeffb}&=\xintifboolexpr{\Coeffa=1}{}{\num{\Coeffa}}\useKV[ClesEquation]{Lettre}%\\
-                \xintifboolexpr{\Coeffa=1}{}{\\}
-                \xintifboolexpr{\Coeffa=1}{}{%\ifnum\cmtd>1
+                \xdef\Coeffa{\fpeval{#4-#2}}\xintifboolexpr{#3>0}{\num{#3}}{-\num{\fpeval{0-#3}}}&=\xintifboolexpr{\Coeffa==1}{}{\num{\Coeffa}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#5>0}{+\num{#5}}{-\num{\fpeval{0-#5}}}\\
+                \mathcolor{Cdecomp}{\xintifboolexpr{#5>0}{{}-{}\num{#5}}{{}+{}\num{\fpeval{0-#5}}}}&\phantom{{}={}\xintifboolexpr{\Coeffa==1}{}{\num{\Coeffa}}\useKV[ClesEquation]{Lettre}}\mathcolor{Cdecomp}{\xintifboolexpr{#5>0}{-\num{#5}}{+\num{\fpeval{0-#5}}}}\\
+                \xdef\Coeffb{\fpeval{#3-#5}}\num{\Coeffb}&=\xintifboolexpr{\Coeffa==1}{}{\num{\Coeffa}}\useKV[ClesEquation]{Lettre}%\\
+                \xintifboolexpr{\Coeffa==1}{}{\\}
+                \xintifboolexpr{\Coeffa==1}{}{%\ifnum\cmtd>1
                 \mathcolor{Cdecomp}{\mathrel{\div}\xintifboolexpr{\Coeffa<0}{(\num{\Coeffa})}{\num{\Coeffa}}}&\xintifboolexpr{\Coeffa<0}{\phantom{{}={}}}{\phantom{=}}\mathcolor{Cdecomp}{\mathrel{\div}\xintifboolexpr{\Coeffa<0}{(\num{\Coeffa})}{\num{\Coeffa}}}\\
                 \frac{\num{\Coeffb}}{\num{\Coeffa}}&=\useKV[ClesEquation]{Lettre}%\\
                 }
+                \ifboolKV[ClesEquation]{Decimal}{%
+                \\\num{\fpeval{\Coeffb/\Coeffa}}&=\useKV[ClesEquation]{Lettre}%
+                                                }{}%
+%                                        %%%
                 \ifboolKV[ClesEquation]{Entier}{%
                 \SSimpliTest{\Coeffb}{\Coeffa}%
                 \ifboolKV[ClesEquation]{Simplification}{%
@@ -235,7 +255,7 @@
                 }{}
                 }{}
               \end{align*}
-              \ifboolKV[ClesEquation]{Solution}{L'équation $\xintifboolexpr{#2=1}{}{\num{#2}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#3>0}{+\num{#3}}{-\num{\fpeval{0-#3}}}=\xintifboolexpr{#4=1}{}{\num{#4}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#5>0}{+\num{#5}}{-\num{\fpeval{0-#5}}}$ a une unique solution : \opdiv*{\Coeffb}{\Coeffa}{solution}{resteequa}\opcmp{resteequa}{0}$\ifboolKV[ClesEquation]{LettreSol}{\useKV[ClesEquation]{Lettre}=}{}\displaystyle\ifopeq\opexport{solution}{\solution}\num{\solution}\else\ifboolKV[ClesEquation]{Entier}{\SSimplifie{\Coeffb}{\Coeffa}}{\frac{\num{\Coeffb}}{\num{\Coeffa}}}\fi$.%
+              \ifboolKV[ClesEquation]{Solution}{L'équation $\xintifboolexpr{#2==1}{}{\num{#2}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#3>0}{+\num{#3}}{-\num{\fpeval{0-#3}}}=\xintifboolexpr{#4==1}{}{\num{#4}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#5>0}{+\num{#5}}{-\num{\fpeval{0-#5}}}$ a une unique solution : \opdiv*{\Coeffb}{\Coeffa}{solution}{resteequa}\opcmp{resteequa}{0}$\ifboolKV[ClesEquation]{LettreSol}{\useKV[ClesEquation]{Lettre}=}{}\displaystyle\ifopeq\opexport{solution}{\solution}\num{\solution}\else\ifboolKV[ClesEquation]{Entier}{\SSimplifie{\Coeffb}{\Coeffa}}{\frac{\num{\Coeffb}}{\num{\Coeffa}}}\fi$.%
               }{}%
             }%
           }%
diff --git a/Master/texmf-dist/tex/latex/profcollege/PfCEquationSoustraction2.tex b/Master/texmf-dist/tex/latex/profcollege/PfCEquationSoustraction2.tex
index f3ffd9453dc..a03f2d74424 100644
--- a/Master/texmf-dist/tex/latex/profcollege/PfCEquationSoustraction2.tex
+++ b/Master/texmf-dist/tex/latex/profcollege/PfCEquationSoustraction2.tex
@@ -9,13 +9,13 @@
   \EquaBase[#1]{#4}{}{}{#3}
   \else
   % si non, on est dans le cas ax=d
-  \xintifboolexpr{#2=0}{%
-    \xintifboolexpr{#5=0}{%
+  \xintifboolexpr{#2==0}{%
+    \xintifboolexpr{#5==0}{%
       L'équation $0\useKV[ClesEquation]{ELettre}=0$ a une infinité de solutions.}{L'équation $0\useKV[ClesEquation]{Lettre}=\num{#5}$ n'a aucune solution.}%
   }{%\else
-    \xintifboolexpr{#5=0}{L'équation $\num{#2}\useKV[ClesEquation]{Lettre}=0$ a une unique solution : $\useKV[ClesEquation]{Lettre}=0$.}{%\else
+    \xintifboolexpr{#5==0}{L'équation $\num{#2}\useKV[ClesEquation]{Lettre}=0$ a une unique solution : $\useKV[ClesEquation]{Lettre}=0$.}{%\else
       \begin{align*}%
-        \tikzmark{A-\theNbequa}\xintifboolexpr{#2=1}{\useKV[ClesEquation]{Lettre}}{\num{#2}\useKV[ClesEquation]{Lettre}}&=\num{#5}\tikzmark{C-\theNbequa}\\
+        \tikzmark{A-\theNbequa}\xintifboolexpr{#2==1}{\useKV[ClesEquation]{Lettre}}{\num{#2}\useKV[ClesEquation]{Lettre}}&=\num{#5}\tikzmark{C-\theNbequa}\\
         \tikzmark{B-\theNbequa}\useKV[ClesEquation]{Lettre}&=\frac{\num{#5}}{\num{#2}}\tikzmark{D-\theNbequa}%\\
         \ifboolKV[ClesEquation]{Fleches}{%
         \leftcomment{A-\theNbequa}{B-\theNbequa}{A-\theNbequa}{$\div\xintifboolexpr{#2<0}{(\num{#2})}{\num{#2}}$}%
@@ -26,6 +26,11 @@
         \Rightcomment{C-\theNbequa}{D-\theNbequa}{D-\theNbequa}{$\div\xintifboolexpr{#2<0}{(\num{#2})}{\num{#2}}$}%
         }{}%
         }%%
+        %% decimal
+        \ifboolKV[ClesEquation]{Decimal}{%
+        \\\useKV[ClesEquation]{Lettre}&=\num{\fpeval{#5/#2}}%
+                                        }{}%
+%                                        %%%
         \ifboolKV[ClesEquation]{Entier}{%
         \SSimpliTest{#5}{#2}%
         \ifboolKV[ClesEquation]{Simplification}{%
@@ -37,7 +42,7 @@
         {\ifboolKV[ClesEquation]{FlecheDiv}{\stepcounter{Nbequa}}{}
         }
       \end{align*}
-      \ifboolKV[ClesEquation]{Solution}{L'équation $\xintifboolexpr{#2=1}{\useKV[ClesEquation]{Lettre}=\num{#5}}{\num{#2}\useKV[ClesEquation]{Lettre}=\num{#5}}$ a une unique solution : $\displaystyle\ifboolKV[ClesEquation]{LettreSol}{\useKV[ClesEquation]{Lettre}=}{}\opdiv*{#5}{#2}{numequa}{resteequa}\opcmp{resteequa}{0}\ifopeq\opexport{numequa}{\numequa}\num{\numequa}\else\ifboolKV[ClesEquation]{Simplification}{\SSimplifie{#5}{#2}}{\frac{\num{#5}}{\num{#2}}}\fi$.%
+      \ifboolKV[ClesEquation]{Solution}{L'équation $\xintifboolexpr{#2==1}{\useKV[ClesEquation]{Lettre}=\num{#5}}{\num{#2}\useKV[ClesEquation]{Lettre}=\num{#5}}$ a une unique solution : $\displaystyle\ifboolKV[ClesEquation]{LettreSol}{\useKV[ClesEquation]{Lettre}=}{}\opdiv*{#5}{#2}{numequa}{resteequa}\opcmp{resteequa}{0}\ifopeq\opexport{numequa}{\numequa}\num{\numequa}\else\ifboolKV[ClesEquation]{Simplification}{\SSimplifie{#5}{#2}}{\frac{\num{#5}}{\num{#2}}}\fi$.%
       }{}
     }
   }
@@ -50,29 +55,29 @@
   \ifx\bla#2\bla%On échange en faisant attention à ne pas boucler : c doit être non vide
     \EquaDeuxSoustraction[#1]{#4}{#5}{#2}{#3}
   \else%cas ax+b=d
-    \xintifboolexpr{#2=0}{%
-      \xintifboolexpr{#3=#5}{%b=d
+    \xintifboolexpr{#2==0}{%
+      \xintifboolexpr{#3==#5}{%b=d
         L'équation $\num{#3}=\num{#5}$ a une infinité de solutions.}%
       {%b<>d
         L'équation $\num{#3}=\num{#5}$ n'a aucune solution.%
       }%
     }{%ELSE
-      \xintifboolexpr{#3=0}{%ax+b=d
+      \xintifboolexpr{#3==0}{%ax+b=d
         \EquaBase[#1]{#2}{}{}{#5}%
       }{%ax+b=d$ Ici
         \begin{align*}
-          \tikzmark{A-\theNbequa}\xintifboolexpr{#2=1}{}{\num{#2}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#3>0}{+\num{#3}}{-\num{\fpeval{0-#3}}}&=\num{#5}\tikzmark{E-\theNbequa}\\
+          \tikzmark{A-\theNbequa}\xintifboolexpr{#2==1}{}{\num{#2}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#3>0}{+\num{#3}}{-\num{\fpeval{0-#3}}}&=\num{#5}\tikzmark{E-\theNbequa}\\
           \ifboolKV[ClesEquation]{Decomposition}{%
-          \xintifboolexpr{#2=1}{}{\num{#2}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#3>0}{+\num{#3}}{-\num{\fpeval{0-#3}}}\mathcolor{Cdecomp}{\xintifboolexpr{#3>0}{-\num{#3}}{+\num{\fpeval{0-#3}}}}&=\num{#5}\mathcolor{Cdecomp}{\xintifboolexpr{#3>0}{-\num{#3}}{+\num{\fpeval{0-#3}}}}\\
+          \xintifboolexpr{#2==1}{}{\num{#2}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#3>0}{+\num{#3}}{-\num{\fpeval{0-#3}}}\mathcolor{Cdecomp}{\xintifboolexpr{#3>0}{-\num{#3}}{+\num{\fpeval{0-#3}}}}&=\num{#5}\mathcolor{Cdecomp}{\xintifboolexpr{#3>0}{-\num{#3}}{+\num{\fpeval{0-#3}}}}\\
           }{}%
-          \tikzmark{C-\theNbequa}\xdef\Coeffa{#2}\xdef\Coeffb{\fpeval{#5-#3}}\xintifboolexpr{\Coeffa=1}{}{\num{\Coeffa}}\useKV[ClesEquation]{Lettre}&=\num{\Coeffb}\tikzmark{G-\theNbequa}
-          \ifboolKV[ClesEquation]{Decomposition}{\\\xintifboolexpr{\Coeffa=1}{}{\frac{\num{\Coeffa}}{\mathcolor{Cdecomp}{\num{\Coeffa}}}\useKV[ClesEquation]{Lettre}&=\frac{\num{\Coeffb}}{\mathcolor{Cdecomp}{\num{\Coeffa}}}}}{}
-          \xintifboolexpr{\Coeffa=1}{}{\\}
+          \tikzmark{C-\theNbequa}\xdef\Coeffa{#2}\xdef\Coeffb{\fpeval{#5-#3}}\xintifboolexpr{\Coeffa==1}{}{\num{\Coeffa}}\useKV[ClesEquation]{Lettre}&=\num{\Coeffb}\tikzmark{G-\theNbequa}
+          \ifboolKV[ClesEquation]{Decomposition}{\\\xintifboolexpr{\Coeffa==1}{}{\frac{\num{\Coeffa}}{\mathcolor{Cdecomp}{\num{\Coeffa}}}\useKV[ClesEquation]{Lettre}&=\frac{\num{\Coeffb}}{\mathcolor{Cdecomp}{\num{\Coeffa}}}}}{}
+          \xintifboolexpr{\Coeffa==1}{}{\\}
           \ifboolKV[ClesEquation]{Fleches}{%
           \leftcomment{A-\theNbequa}{C-\theNbequa}{A-\theNbequa}{$\xintifboolexpr{#3>0}{-\num{#3}}{+\num{\fpeval{0-#3}}}$}%
           \rightcomment{E-\theNbequa}{G-\theNbequa}{E-\theNbequa}{$\xintifboolexpr{#3>0}{-\num{#3}}{+\num{\fpeval{0-#3}}}$}%
           }{}
-          \xintifboolexpr{\Coeffa=1}{% 
+          \xintifboolexpr{\Coeffa==1}{% 
           }{%\ifnum\cmtd>1
           \tikzmark{D-\theNbequa}\useKV[ClesEquation]{Lettre}&=\frac{\num{\Coeffb}}{\num{\Coeffa}}\tikzmark{H-\theNbequa}%\\
           \ifboolKV[ClesEquation]{Fleches}{%
@@ -85,6 +90,11 @@
           }{}
           }
           }
+          %%decimal
+        \ifboolKV[ClesEquation]{Decimal}{%
+        \\\useKV[ClesEquation]{Lettre}&=\num{\fpeval{\Coeffb/\Coeffa}}%
+                                        }{}%
+                                        %%%
           \ifboolKV[ClesEquation]{Entier}{%
           \SSimpliTest{\Coeffb}{\Coeffa}%
           \ifboolKV[ClesEquation]{Simplification}{%
@@ -93,7 +103,7 @@
           }{}
           \ifboolKV[ClesEquation]{Fleches}{\stepcounter{Nbequa}}{\ifboolKV[ClesEquation]{FlecheDiv}{\stepcounter{Nbequa}}{}}
         \end{align*}
-        \ifboolKV[ClesEquation]{Solution}{L'équation $\xintifboolexpr{#2=1}{}{\num{#2}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#3>0}{+\num{#3}}{-\num{\fpeval{0-#3}}}=\num{#5}$ a une unique solution : \opdiv*{\Coeffb}{\Coeffa}{solution}{resteequa}\opcmp{resteequa}{0}$\ifboolKV[ClesEquation]{LettreSol}{\useKV[ClesEquation]{Lettre}=}{}\displaystyle\ifopeq\opexport{solution}{\solution}\num{\solution}\else\ifboolKV[ClesEquation]{Entier}{\SSimplifie{\Coeffb}{\Coeffa}}{\frac{\num{\Coeffb}}{\num{\Coeffa}}}\fi$.
+        \ifboolKV[ClesEquation]{Solution}{L'équation $\xintifboolexpr{#2==1}{}{\num{#2}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#3>0}{+\num{#3}}{-\num{\fpeval{0-#3}}}=\num{#5}$ a une unique solution : \opdiv*{\Coeffb}{\Coeffa}{solution}{resteequa}\opcmp{resteequa}{0}$\ifboolKV[ClesEquation]{LettreSol}{\useKV[ClesEquation]{Lettre}=}{}\displaystyle\ifopeq\opexport{solution}{\solution}\num{\solution}\else\ifboolKV[ClesEquation]{Entier}{\SSimplifie{\Coeffb}{\Coeffa}}{\frac{\num{\Coeffb}}{\num{\Coeffa}}}\fi$.
         }{}
       }
     }
@@ -110,41 +120,41 @@
       \EquaTroisSoustraction[#1]{#4}{#5}{#2}{}%
     \fi
   \else
-  \xintifboolexpr{#2=0}{%b=cx
+  \xintifboolexpr{#2==0}{%b=cx
     \EquaBase[#1]{#4}{}{}{#3}
   }{%
-    \xintifboolexpr{#4=0}{%ax+b=0
+    \xintifboolexpr{#4==0}{%ax+b=0
       \EquaDeuxSoustraction[#1]{#2}{#3}{}{0}
       }{%ax+b=cx
-        \xintifboolexpr{#2=#4}{%
-          \xintifboolexpr{#3=0}{%ax=ax
-            L'équation $\xintifboolexpr{#2=1}{}{\num{#2}}\useKV[ClesEquation]{Lettre}=\xintifboolexpr{#4=1}{}{\num{#4}}\useKV[ClesEquation]{Lettre}$ a une infinité de solutions.}%
+        \xintifboolexpr{#2==#4}{%
+          \xintifboolexpr{#3==0}{%ax=ax
+            L'équation $\xintifboolexpr{#2==1}{}{\num{#2}}\useKV[ClesEquation]{Lettre}=\xintifboolexpr{#4==1}{}{\num{#4}}\useKV[ClesEquation]{Lettre}$ a une infinité de solutions.}%
           {%ax+b=ax
-            L'équation $\xintifboolexpr{#2=1}{}{\num{#2}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#3>0}{+\num{#3}}{-\num{\fpeval{0-#3}}}=\xintifboolexpr{#4=1}{}{\num{#4}}\useKV[ClesEquation]{Lettre}$ n'a aucune solution.%
+            L'équation $\xintifboolexpr{#2==1}{}{\num{#2}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#3>0}{+\num{#3}}{-\num{\fpeval{0-#3}}}=\xintifboolexpr{#4==1}{}{\num{#4}}\useKV[ClesEquation]{Lettre}$ n'a aucune solution.%
           }%
         }{%% Cas délicat
           \xintifboolexpr{#2>#4}{%ax+b=cx avec a>c
             \begin{align*}
-              \tikzmark{A-\theNbequa}\xintifboolexpr{#2=1}{}{\num{#2}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#3>0}{+\num{#3}}{-\num{\fpeval{0-#3}}}&=\xintifboolexpr{#4=1}{}{\num{#4}}\useKV[ClesEquation]{Lettre}\tikzmark{E-\theNbequa}\\
+              \tikzmark{A-\theNbequa}\xintifboolexpr{#2==1}{}{\num{#2}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#3>0}{+\num{#3}}{-\num{\fpeval{0-#3}}}&=\xintifboolexpr{#4==1}{}{\num{#4}}\useKV[ClesEquation]{Lettre}\tikzmark{E-\theNbequa}\\
                 \ifboolKV[ClesEquation]{Decomposition}{%
-                \xintifboolexpr{#2=1}{}{\num{#2}}\useKV[ClesEquation]{Lettre}\mathcolor{Cdecomp}{\xintifboolexpr{#4>0}{-\num{#4}\useKV[ClesEquation]{Lettre}}{+\num{\fpeval{0-#4}}\useKV[ClesEquation]{Lettre}}}\xintifboolexpr{#3>0}{+\num{#3}}{-\num{\fpeval{0-#3}}}&=\xintifboolexpr{#4=1}{}{\num{#4}}\useKV[ClesEquation]{Lettre}\mathcolor{Cdecomp}{\xintifboolexpr{#4>0}{-\num{#4}\useKV[ClesEquation]{Lettre}}{+\num{\fpeval{0-#4}}\useKV[ClesEquation]{Lettre}}}\\
+                \xintifboolexpr{#2==1}{}{\num{#2}}\useKV[ClesEquation]{Lettre}\mathcolor{Cdecomp}{\xintifboolexpr{#4>0}{-\num{#4}\useKV[ClesEquation]{Lettre}}{+\num{\fpeval{0-#4}}\useKV[ClesEquation]{Lettre}}}\xintifboolexpr{#3>0}{+\num{#3}}{-\num{\fpeval{0-#3}}}&=\xintifboolexpr{#4==1}{}{\num{#4}}\useKV[ClesEquation]{Lettre}\mathcolor{Cdecomp}{\xintifboolexpr{#4>0}{-\num{#4}\useKV[ClesEquation]{Lettre}}{+\num{\fpeval{0-#4}}\useKV[ClesEquation]{Lettre}}}\\
                 }{}
-                \tikzmark{B-\theNbequa}\xdef\Coeffa{\fpeval{#2-#4}}\xintifboolexpr{\Coeffa=1}{}{\num{\Coeffa}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#3>0}{+\num{#3}}{-\num{\fpeval{0-#3}}}&=0\tikzmark{F-\theNbequa}\\
+                \tikzmark{B-\theNbequa}\xdef\Coeffa{\fpeval{#2-#4}}\xintifboolexpr{\Coeffa==1}{}{\num{\Coeffa}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#3>0}{+\num{#3}}{-\num{\fpeval{0-#3}}}&=0\tikzmark{F-\theNbequa}\\
                 \ifboolKV[ClesEquation]{Decomposition}{%
-                \xintifboolexpr{\Coeffa=1}{}{\num{\Coeffa}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#3>0}{+\num{#3}}{-\num{\fpeval{0-#3}}}\mathcolor{Cdecomp}{\xintifboolexpr{#3>0}{-\num{#3}}{+\num{\fpeval{0-#3}}}}&=0\mathcolor{Cdecomp}{\xintifboolexpr{#3>0}{-\num{#3}}{+\num{\fpeval{0-#3}}}}\tikzmark{F-\theNbequa}\\
+                \xintifboolexpr{\Coeffa==1}{}{\num{\Coeffa}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#3>0}{+\num{#3}}{-\num{\fpeval{0-#3}}}\mathcolor{Cdecomp}{\xintifboolexpr{#3>0}{-\num{#3}}{+\num{\fpeval{0-#3}}}}&=0\mathcolor{Cdecomp}{\xintifboolexpr{#3>0}{-\num{#3}}{+\num{\fpeval{0-#3}}}}\tikzmark{F-\theNbequa}\\
                 }{}%
-              \tikzmark{C-\theNbequa}\xdef\Coeffb{\fpeval{0-#3}}\xintifboolexpr{\Coeffa=1}{}{\num{\Coeffa}}\useKV[ClesEquation]{Lettre}&=\num{\Coeffb}\tikzmark{G-\theNbequa}%\\
+              \tikzmark{C-\theNbequa}\xdef\Coeffb{\fpeval{0-#3}}\xintifboolexpr{\Coeffa==1}{}{\num{\Coeffa}}\useKV[ClesEquation]{Lettre}&=\num{\Coeffb}\tikzmark{G-\theNbequa}%\\
               %eric
-              \ifboolKV[ClesEquation]{Decomposition}{\\\xintifboolexpr{\Coeffa=1}{}{\frac{\num{\Coeffa}}{\mathcolor{Cdecomp}{\num{\Coeffa}}}\useKV[ClesEquation]{Lettre}&=\frac{\num{\Coeffb}}{\mathcolor{Cdecomp}{\num{\Coeffa}}}}}{}
+              \ifboolKV[ClesEquation]{Decomposition}{\\\xintifboolexpr{\Coeffa==1}{}{\frac{\num{\Coeffa}}{\mathcolor{Cdecomp}{\num{\Coeffa}}}\useKV[ClesEquation]{Lettre}&=\frac{\num{\Coeffb}}{\mathcolor{Cdecomp}{\num{\Coeffa}}}}}{}
               % eric
-                \xintifboolexpr{\Coeffa=1}{}{\\}
+                \xintifboolexpr{\Coeffa==1}{}{\\}
                 \ifboolKV[ClesEquation]{Fleches}{%
                 \leftcomment{A-\theNbequa}{B-\theNbequa}{A-\theNbequa}{$\xintifboolexpr{#4>0}{-\num{#4}}{+\num{\fpeval{0-#4}}}\useKV[ClesEquation]{Lettre}$}
                 \rightcomment{E-\theNbequa}{F-\theNbequa}{E-\theNbequa}{$\xintifboolexpr{#4>0}{-\num{#4}}{+\num{\fpeval{0-#4}}}\useKV[ClesEquation]{Lettre}$}
                 \leftcomment{B-\theNbequa}{C-\theNbequa}{A-\theNbequa}{$\xintifboolexpr{#3>0}{-\num{#3}}{+\num{\fpeval{0-#3}}}$}%
                 \rightcomment{F-\theNbequa}{G-\theNbequa}{E-\theNbequa}{$\xintifboolexpr{#3>0}{-\num{#3}}{+\num{\fpeval{0-#3}}}$}%
                 }{}
-                \xintifboolexpr{\Coeffa=1}{}{%\ifnum\cmtd>1
+                \xintifboolexpr{\Coeffa==1}{}{%\ifnum\cmtd>1
                 \tikzmark{D-\theNbequa}\useKV[ClesEquation]{Lettre}&=\frac{\num{\Coeffb}}{\num{\Coeffa}}\tikzmark{H-\theNbequa}%\\
                 \ifboolKV[ClesEquation]{Fleches}{%
                 \leftcomment{C-\theNbequa}{D-\theNbequa}{A-\theNbequa}{$\div\xintifboolexpr{\Coeffa<0}{(\num{\Coeffa})}{\num{\Coeffa}}$}%
@@ -154,7 +164,12 @@
                 \leftcomment{C-\theNbequa}{D-\theNbequa}{A-\theNbequa}{$\div\xintifboolexpr{\Coeffa<0}{(\num{\Coeffa})}{\num{\Coeffa}}$}%
                 \rightcomment{G-\theNbequa}{H-\theNbequa}{E-\theNbequa}{$\div\xintifboolexpr{\Coeffa<0}{(\num{\Coeffa})}{\num{\Coeffa}}$}%                 
                 }{}
-                }
+              }
+              %% decimal
+              \ifboolKV[ClesEquation]{Decimal}{%
+              \\\useKV[ClesEquation]{Lettre}&=\num{\fpeval{\Coeffb/\Coeffa}}%
+                                              }{}%
+                                              %                                        %%% 
                 \ifboolKV[ClesEquation]{Entier}{%
                 \SSimpliTest{\Coeffb}{\Coeffa}%
                 \ifboolKV[ClesEquation]{Simplification}{%
@@ -164,23 +179,23 @@
                 }
                 \ifboolKV[ClesEquation]{Fleches}{\stepcounter{Nbequa}}{\ifboolKV[ClesEquation]{FlecheDiv}{\stepcounter{Nbequa}}{}}
               \end{align*}
-              \ifboolKV[ClesEquation]{Solution}{L'équation $\xintifboolexpr{#2=1}{}{\num{#2}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#3>0}{+\num{#3}}{-\num{\fpeval{0-#3}}}=\xintifboolexpr{#4=1}{}{\num{#4}}\useKV[ClesEquation]{Lettre}$ a une unique solution : \opdiv*{\Coeffb}{\Coeffa}{solution}{resteequa}\opcmp{resteequa}{0}$\ifboolKV[ClesEquation]{LettreSol}{\useKV[ClesEquation]{Lettre}=}{}\displaystyle\ifopeq\opexport{solution}{\solution}\num{\solution}\else\ifboolKV[ClesEquation]{Entier}{\SSimplifie{\Coeffb}{\Coeffa}}{\frac{\num{\Coeffb}}{\num{\Coeffa}}}\fi$.}{}
+              \ifboolKV[ClesEquation]{Solution}{L'équation $\xintifboolexpr{#2==1}{}{\num{#2}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#3>0}{+\num{#3}}{-\num{\fpeval{0-#3}}}=\xintifboolexpr{#4==1}{}{\num{#4}}\useKV[ClesEquation]{Lettre}$ a une unique solution : \opdiv*{\Coeffb}{\Coeffa}{solution}{resteequa}\opcmp{resteequa}{0}$\ifboolKV[ClesEquation]{LettreSol}{\useKV[ClesEquation]{Lettre}=}{}\displaystyle\ifopeq\opexport{solution}{\solution}\num{\solution}\else\ifboolKV[ClesEquation]{Entier}{\SSimplifie{\Coeffb}{\Coeffa}}{\frac{\num{\Coeffb}}{\num{\Coeffa}}}\fi$.}{}
             }{%ax+b=cx+d avec a<c              % Autre cas délicat
               \begin{align*}%
-                \tikzmark{A-\theNbequa}\xintifboolexpr{#2=1}{}{\num{#2}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#3>0}{+\num{#3}}{-\num{\fpeval{0-#3}}}&=\xintifboolexpr{#4=1}{}{\num{#4}}\useKV[ClesEquation]{Lettre}\tikzmark{E-\theNbequa}\\
+                \tikzmark{A-\theNbequa}\xintifboolexpr{#2==1}{}{\num{#2}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#3>0}{+\num{#3}}{-\num{\fpeval{0-#3}}}&=\xintifboolexpr{#4==1}{}{\num{#4}}\useKV[ClesEquation]{Lettre}\tikzmark{E-\theNbequa}\\
                 \ifboolKV[ClesEquation]{Decomposition}{%
-                \xintifboolexpr{#2=1}{}{\num{#2}}\useKV[ClesEquation]{Lettre}\mathcolor{Cdecomp}{\xintifboolexpr{#2>0}{-\num{#2}\useKV[ClesEquation]{Lettre}}{+\num{\fpeval{0-#2}}\useKV[ClesEquation]{Lettre}}}\xintifboolexpr{#3>0}{+\num{#3}}{-\num{\fpeval{0-#3}}}&=\xintifboolexpr{#4=1}{}{\num{#4}}\useKV[ClesEquation]{Lettre}\mathcolor{Cdecomp}{\xintifboolexpr{#2>0}{-\num{#2}\useKV[ClesEquation]{Lettre}}{+\num{\fpeval{0-#2}}\useKV[ClesEquation]{Lettre}}}\\
+                \xintifboolexpr{#2==1}{}{\num{#2}}\useKV[ClesEquation]{Lettre}\mathcolor{Cdecomp}{\xintifboolexpr{#2>0}{-\num{#2}\useKV[ClesEquation]{Lettre}}{+\num{\fpeval{0-#2}}\useKV[ClesEquation]{Lettre}}}\xintifboolexpr{#3>0}{+\num{#3}}{-\num{\fpeval{0-#3}}}&=\xintifboolexpr{#4==1}{}{\num{#4}}\useKV[ClesEquation]{Lettre}\mathcolor{Cdecomp}{\xintifboolexpr{#2>0}{-\num{#2}\useKV[ClesEquation]{Lettre}}{+\num{\fpeval{0-#2}}\useKV[ClesEquation]{Lettre}}}\\
                 }{}
-                \tikzmark{B-\theNbequa}\xdef\Coeffb{#3}\xdef\Coeffa{\fpeval{#4-#2}}\xintifboolexpr{#3>0}{\num{#3}}{-\num{\fpeval{0-#3}}}&=\xintifboolexpr{\Coeffa=1}{}{\num{\Coeffa}}\useKV[ClesEquation]{Lettre}\tikzmark{F-\theNbequa}
-                \xintifboolexpr{\Coeffa=1}{}{\\}
+                \tikzmark{B-\theNbequa}\xdef\Coeffb{#3}\xdef\Coeffa{\fpeval{#4-#2}}\xintifboolexpr{#3>0}{\num{#3}}{-\num{\fpeval{0-#3}}}&=\xintifboolexpr{\Coeffa==1}{}{\num{\Coeffa}}\useKV[ClesEquation]{Lettre}\tikzmark{F-\theNbequa}
+                \xintifboolexpr{\Coeffa==1}{}{\\}
                 \ifboolKV[ClesEquation]{Fleches}{%
                 \leftcomment{A-\theNbequa}{B-\theNbequa}{A-\theNbequa}{$\xintifboolexpr{#2>0}{-\num{#2}}{+\num{\fpeval{0-#2}}}\useKV[ClesEquation]{Lettre}$}
                 \rightcomment{E-\theNbequa}{F-\theNbequa}{E-\theNbequa}{$\xintifboolexpr{#2>0}{-\num{#2}}{+\num{\fpeval{0-#2}}}\useKV[ClesEquation]{Lettre}$}
                 }{}
                 % eric
-                \ifboolKV[ClesEquation]{Decomposition}{\\\xintifboolexpr{\Coeffa=1}{}{\frac{\num{\Coeffb}}{\mathcolor{Cdecomp}{\num{\Coeffa}}}&=\frac{\num{\Coeffa}}{\mathcolor{Cdecomp}{\num{\Coeffa}}}\useKV[ClesEquation]{Lettre}}}{}
+                \ifboolKV[ClesEquation]{Decomposition}{\\\xintifboolexpr{\Coeffa==1}{}{\frac{\num{\Coeffb}}{\mathcolor{Cdecomp}{\num{\Coeffa}}}&=\frac{\num{\Coeffa}}{\mathcolor{Cdecomp}{\num{\Coeffa}}}\useKV[ClesEquation]{Lettre}}}{}
                 % eric
-                \xintifboolexpr{\Coeffa=1}{}{%\ifnum\cmtd>1
+                \xintifboolexpr{\Coeffa==1}{}{%\ifnum\cmtd>1
                 \tikzmark{D-\theNbequa}\frac{\num{\Coeffb}}{\num{\Coeffa}}&=\useKV[ClesEquation]{Lettre}\tikzmark{H-\theNbequa}%\\
                 \ifboolKV[ClesEquation]{Fleches}{%
                 \leftcomment{B-\theNbequa}{D-\theNbequa}{A-\theNbequa}{$\div\xintifboolexpr{\Coeffa<0}{(\num{\Coeffa})}{\num{\Coeffa}}$}%
@@ -191,6 +206,11 @@
                 \rightcomment{F-\theNbequa}{H-\theNbequa}{E-\theNbequa}{$\div\xintifboolexpr{\Coeffa<0}{(\num{\Coeffa})}{\num{\Coeffa}}$}%                 
                 }{}
                 }
+                %% decimal
+              \ifboolKV[ClesEquation]{Decimal}{%
+              \\\num{\fpeval{\Coeffb/\Coeffa}}&=\useKV[ClesEquation]{Lettre}%
+                                              }{}%
+                                              %                                        %%% 
                 \ifboolKV[ClesEquation]{Entier}{%
                 \SSimpliTest{\Coeffb}{\Coeffa}%
                 \ifboolKV[ClesEquation]{Simplification}{%
@@ -200,7 +220,7 @@
                 }
                 \ifboolKV[ClesEquation]{Fleches}{\stepcounter{Nbequa}}{\ifboolKV[ClesEquation]{FlecheDiv}{\stepcounter{Nbequa}}{}}
               \end{align*}
-              \ifboolKV[ClesEquation]{Solution}{L'équation $\xintifboolexpr{#2=1}{}{\num{#2}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#3>0}{+\num{#3}}{-\num{\fpeval{0-#3}}}=\xintifboolexpr{#4=1}{}{\num{#4}}\useKV[ClesEquation]{Lettre}$ a une unique solution : \opdiv*{\Coeffb}{\Coeffa}{solution}{resteequa}\opcmp{resteequa}{0}$\ifboolKV[ClesEquation]{LettreSol}{\useKV[ClesEquation]{Lettre}=}{}\displaystyle\ifopeq\opexport{solution}{\solution}\num{\solution}\else\ifboolKV[ClesEquation]{Entier}{\SSimplifie{\Coeffb}{\Coeffa}}{\frac{\num{\Coeffb}}{\num{\Coeffa}}}\fi$.}{}%
+              \ifboolKV[ClesEquation]{Solution}{L'équation $\xintifboolexpr{#2==1}{}{\num{#2}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#3>0}{+\num{#3}}{-\num{\fpeval{0-#3}}}=\xintifboolexpr{#4==1}{}{\num{#4}}\useKV[ClesEquation]{Lettre}$ a une unique solution : \opdiv*{\Coeffb}{\Coeffa}{solution}{resteequa}\opcmp{resteequa}{0}$\ifboolKV[ClesEquation]{LettreSol}{\useKV[ClesEquation]{Lettre}=}{}\displaystyle\ifopeq\opexport{solution}{\solution}\num{\solution}\else\ifboolKV[ClesEquation]{Entier}{\SSimplifie{\Coeffb}{\Coeffa}}{\frac{\num{\Coeffb}}{\num{\Coeffa}}}\fi$.}{}%
             }%
           }%
         }%
@@ -212,9 +232,9 @@
 \newcommand{\ResolEquationSoustraction}[5][]{%
   \useKVdefault[ClesEquation]%
   \setKV[ClesEquation]{#1}%
-  \xintifboolexpr{#2=0}{%
-    \xintifboolexpr{#4=0}{%
-      \xintifboolexpr{#3=#5}{%b=d
+  \xintifboolexpr{#2==0}{%
+    \xintifboolexpr{#4==0}{%
+      \xintifboolexpr{#3==#5}{%b=d
         L'équation $\num{#3}=\num{#5}$ a une infinité de solutions.}%
       {%b<>d
         L'équation $\num{#3}=\num{#5}$ n'a aucune solution.%
@@ -224,52 +244,52 @@
       \EquaDeuxSoustraction[#1]{#4}{#5}{}{#3}%
     }%
   }{%
-    \xintifboolexpr{#4=0}{%ax+b=0x+d
+    \xintifboolexpr{#4==0}{%ax+b=0x+d
       \EquaDeuxSoustraction[#1]{#2}{#3}{}{#5}%
     }
     {%ax+b=cx+d$
-      \xintifboolexpr{#3=0}{%
-        \xintifboolexpr{#5=0}{%ax=cx
+      \xintifboolexpr{#3==0}{%
+        \xintifboolexpr{#5==0}{%ax=cx
           \EquaTroisSoustraction[#1]{#2}{0}{#4}{}%
         }%
         {%ax=cx+d
           \EquaTroisSoustraction[#1]{#4}{#5}{#2}{}%
         }%
       }%
-      {\xintifboolexpr{#5=0}{%ax+b=cx
+      {\xintifboolexpr{#5==0}{%ax+b=cx
           \EquaTroisSoustraction[#1]{#2}{#3}{#4}{}%
         }%
         {%ax+b=cx+d -- ici
-          \xintifboolexpr{#2=#4}{%
-            \xintifboolexpr{#3=#5}{%b=d
-              L'équation $\xintifboolexpr{#2=1}{}{\num{#2}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#3>0}{+\num{#3}}{-\num{\fpeval{0-#3}}}=\xintifboolexpr{#4=1}{}{\num{#4}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#5>0}{+\num{#5}}{-\num{\fpeval{0-#5}}}$ a une infinité de solutions.}%
+          \xintifboolexpr{#2==#4}{%
+            \xintifboolexpr{#3==#5}{%b=d
+              L'équation $\xintifboolexpr{#2==1}{}{\num{#2}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#3>0}{+\num{#3}}{-\num{\fpeval{0-#3}}}=\xintifboolexpr{#4==1}{}{\num{#4}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#5>0}{+\num{#5}}{-\num{\fpeval{0-#5}}}$ a une infinité de solutions.}%
             {%b<>d
-              L'équation $\xintifboolexpr{#2=1}{}{\num{#2}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#3>0}{+\num{#3}}{-\num{\fpeval{0-#3}}}=\xintifboolexpr{#4=1}{}{\num{#4}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#5>0}{+\num{#5}}{-\num{\fpeval{0-#5}}}$ n'a aucune solution.%
+              L'équation $\xintifboolexpr{#2==1}{}{\num{#2}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#3>0}{+\num{#3}}{-\num{\fpeval{0-#3}}}=\xintifboolexpr{#4==1}{}{\num{#4}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#5>0}{+\num{#5}}{-\num{\fpeval{0-#5}}}$ n'a aucune solution.%
             }%
           }{
             %% Cas délicat
             \xintifboolexpr{#2>#4}{%ax+b=cx+d avec a>c
               \begin{align*}
-                \tikzmark{A-\theNbequa}\xintifboolexpr{#2=1}{}{\num{#2}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#3>0}{+\num{#3}}{-\num{\fpeval{0-#3}}}&=\xintifboolexpr{#4=1}{}{\num{#4}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#5>0}{+\num{#5}}{-\num{\fpeval{0-#5}}}\tikzmark{E-\theNbequa}\\
+                \tikzmark{A-\theNbequa}\xintifboolexpr{#2==1}{}{\num{#2}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#3>0}{+\num{#3}}{-\num{\fpeval{0-#3}}}&=\xintifboolexpr{#4==1}{}{\num{#4}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#5>0}{+\num{#5}}{-\num{\fpeval{0-#5}}}\tikzmark{E-\theNbequa}\\
                 \ifboolKV[ClesEquation]{Decomposition}{%
-                \xintifboolexpr{#2=1}{}{\num{#2}}\useKV[ClesEquation]{Lettre}\mathcolor{Cdecomp}{\xintifboolexpr{#4>0}{-\num{#4}\useKV[ClesEquation]{Lettre}}{+\num{\fpeval{0-#4}}\useKV[ClesEquation]{Lettre}}}\xintifboolexpr{#3>0}{+\num{#3}}{-\num{\fpeval{0-#3}}}&=\xintifboolexpr{#4=1}{}{\num{#4}}\useKV[ClesEquation]{Lettre}\mathcolor{Cdecomp}{\xintifboolexpr{#4>0}{-\num{#4}\useKV[ClesEquation]{Lettre}}{+\num{\fpeval{0-#4}}\useKV[ClesEquation]{Lettre}}}\xintifboolexpr{#5>0}{+\num{#5}}{-\num{\fpeval{0-#5}}}\\
+                \xintifboolexpr{#2==1}{}{\num{#2}}\useKV[ClesEquation]{Lettre}\mathcolor{Cdecomp}{\xintifboolexpr{#4>0}{-\num{#4}\useKV[ClesEquation]{Lettre}}{+\num{\fpeval{0-#4}}\useKV[ClesEquation]{Lettre}}}\xintifboolexpr{#3>0}{+\num{#3}}{-\num{\fpeval{0-#3}}}&=\xintifboolexpr{#4==1}{}{\num{#4}}\useKV[ClesEquation]{Lettre}\mathcolor{Cdecomp}{\xintifboolexpr{#4>0}{-\num{#4}\useKV[ClesEquation]{Lettre}}{+\num{\fpeval{0-#4}}\useKV[ClesEquation]{Lettre}}}\xintifboolexpr{#5>0}{+\num{#5}}{-\num{\fpeval{0-#5}}}\\
                 }{}
-                \tikzmark{B-\theNbequa}\xdef\Coeffa{\fpeval{#2-#4}}\xintifboolexpr{\Coeffa=1}{}{\num{\Coeffa}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#3>0}{+\num{#3}}{-\num{\fpeval{0-#3}}}&=\num{#5}\tikzmark{F-\theNbequa}\\
+                \tikzmark{B-\theNbequa}\xdef\Coeffa{\fpeval{#2-#4}}\xintifboolexpr{\Coeffa==1}{}{\num{\Coeffa}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#3>0}{+\num{#3}}{-\num{\fpeval{0-#3}}}&=\num{#5}\tikzmark{F-\theNbequa}\\
                 \ifboolKV[ClesEquation]{Decomposition}{%
-                \xintifboolexpr{\Coeffa=1}{}{\num{\Coeffa}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#3>0}{+\num{#3}}{-\num{\fpeval{0-#3}}}\mathcolor{Cdecomp}{\xintifboolexpr{#3>0}{-\num{#3}}{+\num{\fpeval{0-#3}}}}&=\num{#5}\mathcolor{Cdecomp}{\xintifboolexpr{#3>0}{-\num{#3}}{+\num{\fpeval{0-#3}}}}\\
+                \xintifboolexpr{\Coeffa==1}{}{\num{\Coeffa}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#3>0}{+\num{#3}}{-\num{\fpeval{0-#3}}}\mathcolor{Cdecomp}{\xintifboolexpr{#3>0}{-\num{#3}}{+\num{\fpeval{0-#3}}}}&=\num{#5}\mathcolor{Cdecomp}{\xintifboolexpr{#3>0}{-\num{#3}}{+\num{\fpeval{0-#3}}}}\\
                 }{}%
-                \tikzmark{C-\theNbequa}\xdef\Coeffb{\fpeval{#5-#3}}\xintifboolexpr{\Coeffa=1}{}{\num{\Coeffa}}\useKV[ClesEquation]{Lettre}&=\num{\Coeffb}\tikzmark{G-\theNbequa}%\\
+                \tikzmark{C-\theNbequa}\xdef\Coeffb{\fpeval{#5-#3}}\xintifboolexpr{\Coeffa==1}{}{\num{\Coeffa}}\useKV[ClesEquation]{Lettre}&=\num{\Coeffb}\tikzmark{G-\theNbequa}%\\
                 % eric
-                \ifboolKV[ClesEquation]{Decomposition}{\\\xintifboolexpr{\Coeffa=1}{}{\frac{\num{\Coeffa}}{\mathcolor{Cdecomp}{\num{\Coeffa}}}\useKV[ClesEquation]{Lettre}&=\frac{\num{\Coeffb}}{\mathcolor{Cdecomp}{\num{\Coeffa}}}}}{}
+                \ifboolKV[ClesEquation]{Decomposition}{\\\xintifboolexpr{\Coeffa==1}{}{\frac{\num{\Coeffa}}{\mathcolor{Cdecomp}{\num{\Coeffa}}}\useKV[ClesEquation]{Lettre}&=\frac{\num{\Coeffb}}{\mathcolor{Cdecomp}{\num{\Coeffa}}}}}{}
                 % eric
-                \xintifboolexpr{\Coeffa=1}{}{\\}
+                \xintifboolexpr{\Coeffa==1}{}{\\}
                 \ifboolKV[ClesEquation]{Fleches}{%
                 \leftcomment{A-\theNbequa}{B-\theNbequa}{A-\theNbequa}{$\xintifboolexpr{#4>0}{-\num{#4}}{+\num{\fpeval{0-#4}}}\useKV[ClesEquation]{Lettre}$}
                 \rightcomment{E-\theNbequa}{F-\theNbequa}{E-\theNbequa}{$\xintifboolexpr{#4>0}{-\num{#4}}{+\num{\fpeval{0-#4}}}\useKV[ClesEquation]{Lettre}$}
                 \leftcomment{B-\theNbequa}{C-\theNbequa}{A-\theNbequa}{$\xintifboolexpr{#3>0}{-\num{#3}}{+\num{\fpeval{0-#3}}}$}%
                 \rightcomment{F-\theNbequa}{G-\theNbequa}{E-\theNbequa}{$\xintifboolexpr{#3>0}{-\num{#3}}{+\num{\fpeval{0-#3}}}$}%
                 }{}
-                \xintifboolexpr{\Coeffa=1}{}{%\ifnum\cmtd>1
+                \xintifboolexpr{\Coeffa==1}{}{%\ifnum\cmtd>1
                 \tikzmark{D-\theNbequa}\useKV[ClesEquation]{Lettre}&=\frac{\num{\Coeffb}}{\num{\Coeffa}}\tikzmark{H-\theNbequa}%\\
                 \ifboolKV[ClesEquation]{Fleches}{%
                 \leftcomment{C-\theNbequa}{D-\theNbequa}{A-\theNbequa}{$\div\xintifboolexpr{\Coeffa<0}{(\num{\Coeffa})}{\num{\Coeffa}}$}%
@@ -280,6 +300,11 @@
                 \rightcomment{G-\theNbequa}{H-\theNbequa}{E-\theNbequa}{$\div\xintifboolexpr{\Coeffa<0}{(\num{\Coeffa})}{\num{\Coeffa}}$}%                 
                 }{}
                 }
+                %% decimal
+                \ifboolKV[ClesEquation]{Decimal}{%
+                \\\useKV[ClesEquation]{Lettre}&=\num{\fpeval{\Coeffb/\Coeffa}}%
+                                                }{}%
+                                                %                                        %%%
                 \ifboolKV[ClesEquation]{Entier}{%
                 \SSimpliTest{\Coeffb}{\Coeffa}%
                 \ifboolKV[ClesEquation]{Simplification}{%
@@ -289,30 +314,30 @@
                 }
                 \ifboolKV[ClesEquation]{Fleches}{\stepcounter{Nbequa}}{\ifboolKV[ClesEquation]{FlecheDiv}{\stepcounter{Nbequa}}{}}
               \end{align*}
-              \ifboolKV[ClesEquation]{Solution}{L'équation $\xintifboolexpr{#2=1}{}{\num{#2}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#3>0}{+\num{#3}}{-\num{\fpeval{0-#3}}}=\xintifboolexpr{#4=1}{}{\num{#4}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#5>0}{+\num{#5}}{-\num{\fpeval{0-#5}}}$ a une unique solution : \opdiv*{\Coeffb}{\Coeffa}{solution}{resteequa}\opcmp{resteequa}{0}$\ifboolKV[ClesEquation]{LettreSol}{\useKV[ClesEquation]{Lettre}=}{}\displaystyle\ifopeq\opexport{solution}{\solution}\num{\solution}\else\ifboolKV[ClesEquation]{Entier}{\SSimplifie{\Coeffb}{\Coeffa}}{\frac{\num{\Coeffb}}{\num{\Coeffa}}}\fi$.%
+              \ifboolKV[ClesEquation]{Solution}{L'équation $\xintifboolexpr{#2==1}{}{\num{#2}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#3>0}{+\num{#3}}{-\num{\fpeval{0-#3}}}=\xintifboolexpr{#4==1}{}{\num{#4}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#5>0}{+\num{#5}}{-\num{\fpeval{0-#5}}}$ a une unique solution : \opdiv*{\Coeffb}{\Coeffa}{solution}{resteequa}\opcmp{resteequa}{0}$\ifboolKV[ClesEquation]{LettreSol}{\useKV[ClesEquation]{Lettre}=}{}\displaystyle\ifopeq\opexport{solution}{\solution}\num{\solution}\else\ifboolKV[ClesEquation]{Entier}{\SSimplifie{\Coeffb}{\Coeffa}}{\frac{\num{\Coeffb}}{\num{\Coeffa}}}\fi$.%
               }{}
             }{%ax+b=cx+d avec a<c              % Autre cas délicat
               \begin{align*}%
-                \tikzmark{A-\theNbequa}\xintifboolexpr{#2=1}{}{\num{#2}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#3>0}{+\num{#3}}{-\num{\fpeval{0-#3}}}&=\xintifboolexpr{#4=1}{}{\num{#4}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#5>0}{+\num{#5}}{-\num{\fpeval{0-#5}}}\tikzmark{E-\theNbequa}\\
+                \tikzmark{A-\theNbequa}\xintifboolexpr{#2==1}{}{\num{#2}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#3>0}{+\num{#3}}{-\num{\fpeval{0-#3}}}&=\xintifboolexpr{#4==1}{}{\num{#4}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#5>0}{+\num{#5}}{-\num{\fpeval{0-#5}}}\tikzmark{E-\theNbequa}\\
                 \ifboolKV[ClesEquation]{Decomposition}{%
-                \xintifboolexpr{#2=1}{}{\num{#2}}\useKV[ClesEquation]{Lettre}\mathcolor{Cdecomp}{\xintifboolexpr{#2>0}{-\num{#2}\useKV[ClesEquation]{Lettre}}{+\num{\fpeval{0-#2}}\useKV[ClesEquation]{Lettre}}}\xintifboolexpr{#3>0}{+\num{#3}}{-\num{\fpeval{0-#3}}}&=\xintifboolexpr{#4=1}{}{\num{#4}}\useKV[ClesEquation]{Lettre}\mathcolor{Cdecomp}{\xintifboolexpr{#2>0}{-\num{#2}\useKV[ClesEquation]{Lettre}}{+\num{\fpeval{0-#2}}\useKV[ClesEquation]{Lettre}}}\xintifboolexpr{#5>0}{+\num{#5}}{-\num{\fpeval{0-#5}}}\\
+                \xintifboolexpr{#2==1}{}{\num{#2}}\useKV[ClesEquation]{Lettre}\mathcolor{Cdecomp}{\xintifboolexpr{#2>0}{-\num{#2}\useKV[ClesEquation]{Lettre}}{+\num{\fpeval{0-#2}}\useKV[ClesEquation]{Lettre}}}\xintifboolexpr{#3>0}{+\num{#3}}{-\num{\fpeval{0-#3}}}&=\xintifboolexpr{#4==1}{}{\num{#4}}\useKV[ClesEquation]{Lettre}\mathcolor{Cdecomp}{\xintifboolexpr{#2>0}{-\num{#2}\useKV[ClesEquation]{Lettre}}{+\num{\fpeval{0-#2}}\useKV[ClesEquation]{Lettre}}}\xintifboolexpr{#5>0}{+\num{#5}}{-\num{\fpeval{0-#5}}}\\
                 }{}
-                \tikzmark{B-\theNbequa}\xdef\Coeffa{\fpeval{#4-#2}}\xintifboolexpr{#3>0}{\num{#3}}{-\num{\fpeval{0-#3}}}&=\xintifboolexpr{\Coeffa=1}{}{\num{\Coeffa}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#5>0}{+\num{#5}}{-\num{\fpeval{0-#5}}}\tikzmark{F-\theNbequa}\\
+                \tikzmark{B-\theNbequa}\xdef\Coeffa{\fpeval{#4-#2}}\xintifboolexpr{#3>0}{\num{#3}}{-\num{\fpeval{0-#3}}}&=\xintifboolexpr{\Coeffa==1}{}{\num{\Coeffa}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#5>0}{+\num{#5}}{-\num{\fpeval{0-#5}}}\tikzmark{F-\theNbequa}\\
                 \ifboolKV[ClesEquation]{Decomposition}{%
-                \num{#3}\mathcolor{Cdecomp}{\xintifboolexpr{#5>0}{-\num{#5}}{+\num{\fpeval{0-#5}}}}&=\xintifboolexpr{\Coeffa=1}{}{\num{\Coeffa}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#5>0}{+\num{#5}}{-\num{\fpeval{0-#5}}}\mathcolor{Cdecomp}{\xintifboolexpr{#5>0}{-\num{#5}}{+\num{\fpeval{0-#5}}}}\\
+                \num{#3}\mathcolor{Cdecomp}{\xintifboolexpr{#5>0}{-\num{#5}}{+\num{\fpeval{0-#5}}}}&=\xintifboolexpr{\Coeffa==1}{}{\num{\Coeffa}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#5>0}{+\num{#5}}{-\num{\fpeval{0-#5}}}\mathcolor{Cdecomp}{\xintifboolexpr{#5>0}{-\num{#5}}{+\num{\fpeval{0-#5}}}}\\
                 }{}%
-                \tikzmark{C-\theNbequa}\xdef\Coeffb{\fpeval{#3-#5}}\num{\Coeffb}&=\xintifboolexpr{\Coeffa=1}{}{\num{\Coeffa}}\useKV[ClesEquation]{Lettre}\tikzmark{G-\theNbequa}%\\
+                \tikzmark{C-\theNbequa}\xdef\Coeffb{\fpeval{#3-#5}}\num{\Coeffb}&=\xintifboolexpr{\Coeffa==1}{}{\num{\Coeffa}}\useKV[ClesEquation]{Lettre}\tikzmark{G-\theNbequa}%\\
                 % eric
-                \ifboolKV[ClesEquation]{Decomposition}{\\\xintifboolexpr{\Coeffa=1}{}{\frac{\num{\Coeffb}}{\mathcolor{Cdecomp}{\num{\Coeffa}}}&=\frac{\num{\Coeffa}}{\mathcolor{Cdecomp}{\num{\Coeffa}}}\useKV[ClesEquation]{Lettre}}}{}
+                \ifboolKV[ClesEquation]{Decomposition}{\\\xintifboolexpr{\Coeffa==1}{}{\frac{\num{\Coeffb}}{\mathcolor{Cdecomp}{\num{\Coeffa}}}&=\frac{\num{\Coeffa}}{\mathcolor{Cdecomp}{\num{\Coeffa}}}\useKV[ClesEquation]{Lettre}}}{}
                 % eric
-                \xintifboolexpr{\Coeffa=1}{}{\\}
+                \xintifboolexpr{\Coeffa==1}{}{\\}
                 \ifboolKV[ClesEquation]{Fleches}{%
                 \leftcomment{A-\theNbequa}{B-\theNbequa}{A-\theNbequa}{$\xintifboolexpr{#2>0}{-\num{#2}}{+\num{\fpeval{0-#2}}}\useKV[ClesEquation]{Lettre}$}
                 \rightcomment{E-\theNbequa}{F-\theNbequa}{E-\theNbequa}{$\xintifboolexpr{#2>0}{-\num{#2}}{+\num{\fpeval{0-#2}}}\useKV[ClesEquation]{Lettre}$}
                 \leftcomment{B-\theNbequa}{C-\theNbequa}{A-\theNbequa}{$\xintifboolexpr{#5>0}{-\num{#5}}{+\num{\fpeval{0-#5}}}$}%
                 \rightcomment{F-\theNbequa}{G-\theNbequa}{E-\theNbequa}{$\xintifboolexpr{#5>0}{-\num{#5}}{+\num{\fpeval{0-#5}}}$}%
                 }{}
-                \xintifboolexpr{\Coeffa=1}{}{%\ifnum\cmtd>1
+                \xintifboolexpr{\Coeffa==1}{}{%\ifnum\cmtd>1
                 \tikzmark{D-\theNbequa}\frac{\num{\Coeffb}}{\num{\Coeffa}}&=\useKV[ClesEquation]{Lettre}\tikzmark{H-\theNbequa}%\\
                 \ifboolKV[ClesEquation]{Fleches}{%
                 \leftcomment{C-\theNbequa}{D-\theNbequa}{A-\theNbequa}{$\div\xintifboolexpr{\Coeffa<0}{(\num{\Coeffa})}{\num{\Coeffa}}$}%
@@ -323,6 +348,11 @@
                 \rightcomment{G-\theNbequa}{H-\theNbequa}{E-\theNbequa}{$\div\xintifboolexpr{\Coeffa<0}{(\num{\Coeffa})}{\num{\Coeffa}}$}%                 
                 }{}
                 }
+                %% decimal
+                \ifboolKV[ClesEquation]{Decimal}{%
+                \\\num{\fpeval{\Coeffb/\Coeffa}}&=\useKV[ClesEquation]{Lettre}%
+                                                }{}%
+                                                %                                        %%% 
                 \ifboolKV[ClesEquation]{Entier}{%
                 \SSimpliTest{\Coeffb}{\Coeffa}%
                 \ifboolKV[ClesEquation]{Simplification}{%
@@ -332,7 +362,7 @@
                 }
                 \ifboolKV[ClesEquation]{Fleches}{\stepcounter{Nbequa}}{\ifboolKV[ClesEquation]{FlecheDiv}{\stepcounter{Nbequa}}{}}
               \end{align*}
-              \ifboolKV[ClesEquation]{Solution}{L'équation $\xintifboolexpr{#2=1}{}{\num{#2}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#3>0}{+\num{#3}}{-\num{\fpeval{0-#3}}}=\xintifboolexpr{#4=1}{}{\num{#4}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#5>0}{+\num{#5}}{-\num{\fpeval{0-#5}}}$ a une unique solution : \opdiv*{\Coeffb}{\Coeffa}{solution}{resteequa}\opcmp{resteequa}{0}$\ifboolKV[ClesEquation]{LettreSol}{\useKV[ClesEquation]{Lettre}=}{}\displaystyle\ifopeq\opexport{solution}{\solution}\num{\solution}\else\ifboolKV[ClesEquation]{Entier}{\SSimplifie{\Coeffb}{\Coeffa}}{\frac{\num{\Coeffb}}{\num{\Coeffa}}}\fi$.%
+              \ifboolKV[ClesEquation]{Solution}{L'équation $\xintifboolexpr{#2==1}{}{\num{#2}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#3>0}{+\num{#3}}{-\num{\fpeval{0-#3}}}=\xintifboolexpr{#4==1}{}{\num{#4}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#5>0}{+\num{#5}}{-\num{\fpeval{0-#5}}}$ a une unique solution : \opdiv*{\Coeffb}{\Coeffa}{solution}{resteequa}\opcmp{resteequa}{0}$\ifboolKV[ClesEquation]{LettreSol}{\useKV[ClesEquation]{Lettre}=}{}\displaystyle\ifopeq\opexport{solution}{\solution}\num{\solution}\else\ifboolKV[ClesEquation]{Entier}{\SSimplifie{\Coeffb}{\Coeffa}}{\frac{\num{\Coeffb}}{\num{\Coeffa}}}\fi$.%
               }{}%
             }%
           }%
diff --git a/Master/texmf-dist/tex/latex/profcollege/PfCEquationSymbole1.tex b/Master/texmf-dist/tex/latex/profcollege/PfCEquationSymbole1.tex
index 3cc345c5242..f8313606e1e 100644
--- a/Master/texmf-dist/tex/latex/profcollege/PfCEquationSymbole1.tex
+++ b/Master/texmf-dist/tex/latex/profcollege/PfCEquationSymbole1.tex
@@ -14,14 +14,19 @@
     \fi
   \else
   % si non, on est dans le cas ax=d
-  \xintifboolexpr{#2=0}{%
-    \xintifboolexpr{#5=0}{%
+  \xintifboolexpr{#2==0}{%
+    \xintifboolexpr{#5==0}{%
       L'équation $0\times\useKV[ClesEquation]{Lettre}=0$ a une infinité de solutions.}{L'équation $0\times\useKV[ClesEquation]{Lettre}=\num{#5}$ n'a aucune solution.}%
   }{%\else
-    \xintifboolexpr{#5=0}{L'équation $\num{#2}\times\useKV[ClesEquation]{Lettre}=0$ a une unique solution : $\useKV[ClesEquation]{Lettre}=0$.}{%\else
+    \xintifboolexpr{#5==0}{L'équation $\num{#2}\times\useKV[ClesEquation]{Lettre}=0$ a une unique solution : $\useKV[ClesEquation]{Lettre}=0$.}{%\else
       \begin{align*}%
-         \xintifboolexpr{#2=1}{\useKV[ClesEquation]{Lettre}}{\multido{\i=1+1}{\fpeval{#2-1}}{\useKV[ClesEquation]{Lettre}+}\useKV[ClesEquation]{Lettre}}&=\num{#5}\\
+         \xintifboolexpr{#2==1}{\useKV[ClesEquation]{Lettre}}{\multido{\i=1+1}{\fpeval{#2-1}}{\useKV[ClesEquation]{Lettre}+}\useKV[ClesEquation]{Lettre}}&=\num{#5}\\
         \useKV[ClesEquation]{Lettre}&=\frac{\num{#5}}{\num{#2}}%\\
+        %% decimal
+        \ifboolKV[ClesEquation]{Decimal}{%
+        \\\useKV[ClesEquation]{Lettre}&=\num{\fpeval{#5/#2}}%
+                                        }{}%
+%                                        %%%
         \ifboolKV[ClesEquation]{Entier}{%
                 \SSimpliTest{#5}{#2}%
                 \ifboolKV[ClesEquation]{Simplification}{%
@@ -41,24 +46,29 @@
   \ifx\bla#2\bla%On échange en faisant attention à ne pas boucler : c doit être non vide
     \EquaDeuxSymbole[#1]{#4}{#5}{#2}{#3}
   \else%cas ax+b=d
-    \xintifboolexpr{#2=0}{%
-      \xintifboolexpr{#3=#5}{%b=d
+    \xintifboolexpr{#2==0}{%
+      \xintifboolexpr{#3==#5}{%b=d
         L'équation $\num{#3}=\num{#5}$ a une infinité de solutions.}%
       {%b<>d
         L'équation $\num{#3}=\num{#5}$ n'a aucune solution.%
       }%
     }{%ELSE
-      \xintifboolexpr{#3=0}{%ax+b=d
+      \xintifboolexpr{#3==0}{%ax+b=d
         \EquaBaseSymbole[#1]{#2}{}{}{#5}%
       }{%ax+b=d$ Ici
         \begin{align*}
-          \xintifboolexpr{#2=1}{\useKV[ClesEquation]{Lettre}}{\multido{\i=1+1}{\fpeval{#2-1}}{\useKV[ClesEquation]{Lettre}+}\useKV[ClesEquation]{Lettre}}\xintifboolexpr{#3>0}{+\num{#3}}{-\num{\fpeval{0-#3}}}&=\num{#5}\\
-          \ifboolKV[ClesEquation]{Bloc}{\Fdash{$\xintifboolexpr{#2=1}{\useKV[ClesEquation]{Lettre}}{\multido{\i=1+1}{\fpeval{#2-1}}{\useKV[ClesEquation]{Lettre}+}\useKV[ClesEquation]{Lettre}}$}\xintifboolexpr{#3>0}{+\num{#3}}{-\num{\fpeval{0-#3}}}&=\num{#5}\\}{}%
-          \xdef\Coeffa{#2}\xdef\Coeffb{\fpeval{#5-#3}}\xintifboolexpr{\Coeffa=1}{\useKV[ClesEquation]{Lettre}}{\multido{\i=1+1}{\fpeval{#2-1}}{\useKV[ClesEquation]{Lettre}+}\useKV[ClesEquation]{Lettre}}&=\num{\Coeffb}%\\
-          \xintifboolexpr{\Coeffa=1}{% 
+          \xintifboolexpr{#2==1}{\useKV[ClesEquation]{Lettre}}{\multido{\i=1+1}{\fpeval{#2-1}}{\useKV[ClesEquation]{Lettre}+}\useKV[ClesEquation]{Lettre}}\xintifboolexpr{#3>0}{+\num{#3}}{-\num{\fpeval{0-#3}}}&=\num{#5}\\
+          \ifboolKV[ClesEquation]{Bloc}{\Fdash{$\xintifboolexpr{#2==1}{\useKV[ClesEquation]{Lettre}}{\multido{\i=1+1}{\fpeval{#2-1}}{\useKV[ClesEquation]{Lettre}+}\useKV[ClesEquation]{Lettre}}$}\xintifboolexpr{#3>0}{+\num{#3}}{-\num{\fpeval{0-#3}}}&=\num{#5}\\}{}%
+          \xdef\Coeffa{#2}\xdef\Coeffb{\fpeval{#5-#3}}\xintifboolexpr{\Coeffa==1}{\useKV[ClesEquation]{Lettre}}{\multido{\i=1+1}{\fpeval{#2-1}}{\useKV[ClesEquation]{Lettre}+}\useKV[ClesEquation]{Lettre}}&=\num{\Coeffb}%\\
+          \xintifboolexpr{\Coeffa==1}{% 
           }{%\ifnum\cmtd>1
           \\
           \useKV[ClesEquation]{Lettre}&=\frac{\num{\Coeffb}}{\num{\Coeffa}}%\\
+          %% decimal
+          \ifboolKV[ClesEquation]{Decimal}{%
+          \\\useKV[ClesEquation]{Lettre}&=\num{\fpeval{\Coeffb/\Coeffa}}%
+                                          }{}%
+                                          %%%
           \ifboolKV[ClesEquation]{Entier}{%
           \SSimpliTest{\Coeffb}{\Coeffa}%
           \ifboolKV[ClesEquation]{Simplification}{%
@@ -83,14 +93,14 @@
       \EquaTroisSymbole[#1]{#4}{#5}{#2}{}%
     \fi
   \else
-  \xintifboolexpr{#2=0}{%b=cx
+  \xintifboolexpr{#2==0}{%b=cx
     \EquaBaseSymbole[#1]{#4}{}{}{#3}
   }{%
-    \xintifboolexpr{#4=0}{%ax+b=0
+    \xintifboolexpr{#4==0}{%ax+b=0
       \EquaDeuxSymbole[#1]{#2}{#3}{}{0}
       }{%ax+b=cx
-        \xintifboolexpr{#2=#4}{%
-          \xintifboolexpr{#3=0}{%ax=ax
+        \xintifboolexpr{#2==#4}{%
+          \xintifboolexpr{#3==0}{%ax=ax
             L'équation $\multido{\i=1+1}{\fpeval{#2-1}}{\useKV[ClesEquation]{Lettre}+}\useKV[ClesEquation]{Lettre}=\multido{\i=1+1}{\fpeval{#2-1}}{\useKV[ClesEquation]{Lettre}+}\useKV[ClesEquation]{Lettre}$ a une infinité de solutions.}%
           {%ax+b=ax
             L'équation $\multido{\i=1+1}{\fpeval{#2-1}}{\useKV[ClesEquation]{Lettre}+}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#3>0}{+\num{#3}}{-\num{\fpeval{0-#3}}}=\multido{\i=1+1}{\fpeval{#2-1}}{\useKV[ClesEquation]{Lettre}+}\useKV[ClesEquation]{Lettre}$ n'a aucune solution.%
@@ -103,8 +113,13 @@
               \xdef\Coeffa{\fpeval{#2-#4}}\multido{\i=1+1}{\fpeval{\Coeffa-1}}{\useKV[ClesEquation]{Lettre}+}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#3>0}{+\num{#3}}{-\num{\fpeval{0-#3}}}&=0\\
               \ifboolKV[ClesEquation]{Bloc}{\Fdash{\mathcolor{Csymbole}{$\multido{\i=1+1}{\fpeval{\Coeffa-1}}{\useKV[ClesEquation]{Lettre}+}\useKV[ClesEquation]{Lettre}$}}\xintifboolexpr{#3>0}{+\num{#3}}{-\num{\fpeval{0-#3}}}&=0\\}{}
               \xdef\Coeffb{\fpeval{0-#3}}\multido{\i=1+1}{\fpeval{\Coeffa-1}}{\useKV[ClesEquation]{Lettre}+}\useKV[ClesEquation]{Lettre}&=\num{\Coeffb}%\\
-              \xintifboolexpr{\Coeffa=1}{}{%\ifnum\cmtd>1
+              \xintifboolexpr{\Coeffa==1}{}{%\ifnum\cmtd>1
               \\\useKV[ClesEquation]{Lettre}&=\frac{\num{\Coeffb}}{\num{\Coeffa}}%\\
+              %% decimal
+              \ifboolKV[ClesEquation]{Decimal}{%
+              \\\useKV[ClesEquation]{Lettre}&=\num{\fpeval{\Coeffb/\Coeffa}}%
+                                        }{}%
+                                        %%%
                 \ifboolKV[ClesEquation]{Entier}{%
                 \SSimpliTest{\Coeffb}{\Coeffa}%
                 \ifboolKV[ClesEquation]{Simplification}{%
@@ -118,8 +133,13 @@
                 \multido{\i=1+1}{\fpeval{#2-1}}{\useKV[ClesEquation]{Lettre}+}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#3>0}{+\num{#3}}{-\num{\fpeval{0-#3}}}&=\multido{\i=1+1}{\fpeval{#4-1}}{\useKV[ClesEquation]{Lettre}+}\useKV[ClesEquation]{Lettre}\\
                 \mathcolor{Csymbole}{\useKV[ClesEquation]{Lettre}\multido{\i=1+1}{\fpeval{#2-1}}{+\useKV[ClesEquation]{Lettre}}}\xintifboolexpr{#3>0}{+\num{#3}}{-\num{\fpeval{0-#3}}}&=\mathcolor{Csymbole}{\useKV[ClesEquation]{Lettre}\multido{\i=1+1}{\fpeval{#2-1}}{+\useKV[ClesEquation]{Lettre}}}\multido{\i=1+1}{\fpeval{#4-#2}}{+\useKV[ClesEquation]{Lettre}}\\
                 \xdef\Coeffb{#3}\xdef\Coeffa{\fpeval{#4-#2}}\xintifboolexpr{#3>0}{\num{#3}}{-\num{\fpeval{0-#3}}}&=\multido{\i=1+1}{\fpeval{\Coeffa-1}}{\useKV[ClesEquation]{Lettre}+}\useKV[ClesEquation]{Lettre}% \\
-                \xintifboolexpr{\Coeffa=1}{}{%\ifnum\cmtd>1
+                \xintifboolexpr{\Coeffa==1}{}{%\ifnum\cmtd>1
                 \\\frac{\num{\Coeffb}}{\num{\Coeffa}}&=\useKV[ClesEquation]{Lettre}%\\
+                %% decimal
+                \ifboolKV[ClesEquation]{Decimal}{%
+                \\\num{\fpeval{\Coeffb/\Coeffa}}&=\useKV[ClesEquation]{Lettre}%
+                                        }{}%
+                                        %%%
                 \ifboolKV[ClesEquation]{Entier}{%
                 \SSimpliTest{\Coeffb}{\Coeffa}%
                 \ifboolKV[ClesEquation]{Simplification}{%
@@ -135,14 +155,13 @@
     \fi
   }%
 
-
 \newcommand{\ResolEquationSymbole}[5][]{%
   \useKVdefault[ClesEquation]%
   \setKV[ClesEquation]{#1}%
   \setKV[ClesEquation]{Fleches=false,FlecheDiv=false,Terme=false,Decomposition=false}
-  \xintifboolexpr{#2=0}{%
-    \xintifboolexpr{#4=0}{%
-      \xintifboolexpr{#3=#5}{%b=d
+  \xintifboolexpr{#2==0}{%
+    \xintifboolexpr{#4==0}{%
+      \xintifboolexpr{#3==#5}{%b=d
         L'équation $\num{#3}=\num{#5}$ a une infinité de solutions.}%
       {%b<>d
         L'équation $\num{#3}=\num{#5}$ n'a aucune solution.%
@@ -152,24 +171,24 @@
       \EquaDeuxSymbole[#1]{#4}{#5}{#2}{#3}%
     }%
   }{%
-    \xintifboolexpr{#4=0}{%ax+b=0x+d
+    \xintifboolexpr{#4==0}{%ax+b=0x+d
       \EquaDeuxSymbole[#1]{#2}{#3}{}{#5}%
     }
     {%ax+b=cx+d$
-      \xintifboolexpr{#3=0}{%
-        \xintifboolexpr{#5=0}{%ax=cx
+      \xintifboolexpr{#3==0}{%
+        \xintifboolexpr{#5==0}{%ax=cx
           \EquaTroisSymbole[#1]{#2}{0}{#4}{}%
         }%
         {%ax=cx+d
           \EquaTroisSymbole[#1]{#4}{#5}{#2}{}%
         }%
       }%
-      {\xintifboolexpr{#5=0}{%ax+b=cx
+      {\xintifboolexpr{#5==0}{%ax+b=cx
           \EquaTroisSymbole[#1]{#2}{#3}{#4}{}%
         }%
         {%ax+b=cx+d -- ici
-          \xintifboolexpr{#2=#4}{%
-            \xintifboolexpr{#3=#5}{%b=d
+          \xintifboolexpr{#2==#4}{%
+            \xintifboolexpr{#3==#5}{%b=d
               L'équation $\multido{\i=1+1}{\fpeval{#2-1}}{\useKV[ClesEquation]{Lettre}+}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#3>0}{+\num{#3}}{-\num{\fpeval{0-#3}}}=\multido{\i=1+1}{\fpeval{#4-1}}{\useKV[ClesEquation]{Lettre}+}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#5>0}{+\num{#5}}{-\num{\fpeval{0-#5}}}$ a une infinité de solutions.}%
             {%b<>d
               L'équation $\multido{\i=1+1}{\fpeval{#2-1}}{\useKV[ClesEquation]{Lettre}+}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#3>0}{+\num{#3}}{-\num{\fpeval{0-#3}}}=\multido{\i=1+1}{\fpeval{#4-1}}{\useKV[ClesEquation]{Lettre}+}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#5>0}{+\num{#5}}{-\num{\fpeval{0-#5}}}$ n'a aucune solution.%
@@ -185,8 +204,13 @@
                 \Fdash{$\mathcolor{Csymbole}{\useKV[ClesEquation]{Lettre}\multido{\i=1+1}{\fpeval{\Coeffa-1}}{+\useKV[ClesEquation]{Lettre}}}$}\xintifboolexpr{#3>0}{+\num{#3}}{-\num{\fpeval{0-#3}}}&=\num{#5}\\
                 }{}%
                 \xdef\Coeffb{\fpeval{#5-#3}}\useKV[ClesEquation]{Lettre}\multido{\i=1+1}{\fpeval{\Coeffa-1}}{+\useKV[ClesEquation]{Lettre}}&=\num{\Coeffb}%\\
-                \xintifboolexpr{\Coeffa=1}{}{%\ifnum\cmtd>1
-                \\\useKV[ClesEquation]{Lettre}&=\frac{\num{\Coeffb}}{\num{\Coeffa}}\tikzmark{H-\theNbequa}%\\
+                \xintifboolexpr{\Coeffa==1}{}{%\ifnum\cmtd>1
+                \\\useKV[ClesEquation]{Lettre}&=\frac{\num{\Coeffb}}{\num{\Coeffa}}%\\
+                %% decimal
+                \ifboolKV[ClesEquation]{Decimal}{%
+                \\\useKV[ClesEquation]{Lettre}&=\num{\fpeval{\Coeffb/\Coeffa}}%
+                                                }{}%
+                                                %%% 
                 \ifboolKV[ClesEquation]{Entier}{%
                 \SSimpliTest{\Coeffb}{\Coeffa}%
                 \ifboolKV[ClesEquation]{Simplification}{%
@@ -204,8 +228,13 @@
                 \num{#3}&=\Fdash{$\mathcolor{Csymbole}{\useKV[ClesEquation]{Lettre}\multido{\i=1+1}{\fpeval{\Coeffa-1}}{+\useKV[ClesEquation]{Lettre}}}$}\xintifboolexpr{#5>0}{+\num{#5}}{-\num{\fpeval{0-#5}}}\\
                 }{}%
                 \xdef\Coeffb{\fpeval{#3-#5}}\num{\Coeffb}&=\useKV[ClesEquation]{Lettre}\multido{\i=1+1}{\fpeval{\Coeffa-1}}{+\useKV[ClesEquation]{Lettre}}%\\
-                \xintifboolexpr{\Coeffa=1}{}{%\ifnum\cmtd>1
+                \xintifboolexpr{\Coeffa==1}{}{%\ifnum\cmtd>1
                 \\\frac{\num{\Coeffb}}{\num{\Coeffa}}&=\useKV[ClesEquation]{Lettre}%\\
+                %% decimal
+                \ifboolKV[ClesEquation]{Decimal}{%
+                \\\num{\fpeval{\Coeffb/\Coeffa}}&=\useKV[ClesEquation]{Lettre}%
+                                                }{}%
+                                                %%% 
                 \ifboolKV[ClesEquation]{Entier}{%
                 \SSimpliTest{\Coeffb}{\Coeffa}%
                 \ifboolKV[ClesEquation]{Simplification}{%
diff --git a/Master/texmf-dist/tex/latex/profcollege/PfCEquationTerme1.tex b/Master/texmf-dist/tex/latex/profcollege/PfCEquationTerme1.tex
index 3b4cc18f275..80399dd3f40 100644
--- a/Master/texmf-dist/tex/latex/profcollege/PfCEquationTerme1.tex
+++ b/Master/texmf-dist/tex/latex/profcollege/PfCEquationTerme1.tex
@@ -6,39 +6,44 @@
   \ifx\bla#2\bla%On échange en faisant attention à ne pas boucler : c doit être non vide
     \EquaDeuxTerme[#1]{#4}{#5}{#2}{#3}
   \else%cas ax+b=d
-    \xintifboolexpr{#2=0}{%
-      \xintifboolexpr{#3=#5}{%b=d
+    \xintifboolexpr{#2==0}{%
+      \xintifboolexpr{#3==#5}{%b=d
         L'équation $\num{#3}=\num{#5}$ a une infinité de solutions.}%
       {%b<>d
         L'équation $\num{#3}=\num{#5}$ n'a aucune solution.%
       }%
     }{%ELSE
-      \xintifboolexpr{#3=0}{%ax+b=d
+      \xintifboolexpr{#3==0}{%ax+b=d
         \EquaBase[#1]{#2}{}{}{#5}%
       }{%ax+b=d$ Ici
         \ifboolKV[ClesEquation]{Decomposition}{\colorlet{Cterme}{\useKV[ClesEquation]{CouleurTerme}}}{}
         \begin{align*}
-          \tikzmark{A-\theNbequa}\xintifboolexpr{#2=1}{}{\num{#2}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#3>0}{+\num{#3}}{-\num{\fpeval{0-#3}}}&=\num{#5}\tikzmark{E-\theNbequa}\\
-          \xintifboolexpr{#2=1}{}{\num{#2}}\useKV[ClesEquation]{Lettre}&=\num{#5}\mathcolor{Cterme}{\xintifboolexpr{#3>0}{-\num{#3}}{+\num{\fpeval{0-#3}}}}\\
-          \tikzmark{C-\theNbequa}\xdef\Coeffa{#2}\xdef\Coeffb{\fpeval{#5-#3}}\xintifboolexpr{\Coeffa=1}{}{\num{\Coeffa}}\useKV[ClesEquation]{Lettre}&=\num{\Coeffb}\tikzmark{G-\theNbequa}%\\
-          \xintifboolexpr{\Coeffa=1}{}{\\}
+          \tikzmark{A-\theNbequa}\xintifboolexpr{#2==1}{}{\num{#2}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#3>0}{+\num{#3}}{-\num{\fpeval{0-#3}}}&=\num{#5}\tikzmark{E-\theNbequa}\\
+          \xintifboolexpr{#2==1}{}{\num{#2}}\useKV[ClesEquation]{Lettre}&=\num{#5}\mathcolor{Cterme}{\xintifboolexpr{#3>0}{-\num{#3}}{+\num{\fpeval{0-#3}}}}\\
+          \tikzmark{C-\theNbequa}\xdef\Coeffa{#2}\xdef\Coeffb{\fpeval{#5-#3}}\xintifboolexpr{\Coeffa==1}{}{\num{\Coeffa}}\useKV[ClesEquation]{Lettre}&=\num{\Coeffb}\tikzmark{G-\theNbequa}%\\
+          \xintifboolexpr{\Coeffa==1}{}{\\}
           \ifboolKV[ClesEquation]{Fleches}{%
           \leftcomment{A-\theNbequa}{C-\theNbequa}{A-\theNbequa}{$\xintifboolexpr{#3>0}{-\num{#3}}{+\num{\fpeval{0-#3}}}$}%
           \rightcomment{E-\theNbequa}{G-\theNbequa}{E-\theNbequa}{$\xintifboolexpr{#3>0}{-\num{#3}}{+\num{\fpeval{0-#3}}}$}%
           }{}
-          \xintifboolexpr{\Coeffa=1}{% 
+          \xintifboolexpr{\Coeffa==1}{% 
           }{%\ifnum\cmtd>1
           \tikzmark{D-\theNbequa}\useKV[ClesEquation]{Lettre}&=\frac{\num{\Coeffb}}{\num{\Coeffa}}\tikzmark{H-\theNbequa}%\\
           \ifboolKV[ClesEquation]{Fleches}{%
           \leftcomment{C-\theNbequa}{D-\theNbequa}{A-\theNbequa}{$\div\xintifboolexpr{\Coeffa<0}{(\num{\Coeffa})}{\num{\Coeffa}}$}%
           \rightcomment{G-\theNbequa}{H-\theNbequa}{E-\theNbequa}{$\div\xintifboolexpr{\Coeffa<0}{(\num{\Coeffa})}{\num{\Coeffa}}$}%
-          }{%ICI ?
+          }{%
           \ifboolKV[ClesEquation]{FlecheDiv}{%
           \leftcomment{C-\theNbequa}{D-\theNbequa}{A-\theNbequa}{$\div\xintifboolexpr{\Coeffa<0}{(\num{\Coeffa})}{\num{\Coeffa}}$}%
           \rightcomment{G-\theNbequa}{H-\theNbequa}{E-\theNbequa}{$\div\xintifboolexpr{\Coeffa<0}{(\num{\Coeffa})}{\num{\Coeffa}}$}%
           }{}
           }
           }
+          %% decimal
+          \ifboolKV[ClesEquation]{Decimal}{%
+          \\\useKV[ClesEquation]{Lettre}&=\num{\fpeval{\Coeffb/\Coeffa}}%
+                                          }{}%
+                                          %%% 
           \ifboolKV[ClesEquation]{Entier}{%
           \SSimpliTest{\Coeffb}{\Coeffa}%
           \ifboolKV[ClesEquation]{Simplification}{%
@@ -47,7 +52,7 @@
           }{}
           \ifboolKV[ClesEquation]{Fleches}{\stepcounter{Nbequa}}{\ifboolKV[ClesEquation]{FlecheDiv}{\stepcounter{Nbequa}}{}}
         \end{align*}
-        \ifboolKV[ClesEquation]{Solution}{L'équation $\xintifboolexpr{#2=1}{}{\num{#2}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#3>0}{+\num{#3}}{-\num{\fpeval{0-#3}}}=\num{#5}$ a une unique solution : \opdiv*{\Coeffb}{\Coeffa}{solution}{resteequa}\opcmp{resteequa}{0}$\ifboolKV[ClesEquation]{LettreSol}{\useKV[ClesEquation]{Lettre}=}{}\displaystyle\ifopeq\opexport{solution}{\solution}\num{\solution}\else\ifboolKV[ClesEquation]{Entier}{\SSimplifie{\Coeffb}{\Coeffa}}{\frac{\num{\Coeffb}}{\num{\Coeffa}}}\fi$.
+        \ifboolKV[ClesEquation]{Solution}{L'équation $\xintifboolexpr{#2==1}{}{\num{#2}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#3>0}{+\num{#3}}{-\num{\fpeval{0-#3}}}=\num{#5}$ a une unique solution : \opdiv*{\Coeffb}{\Coeffa}{solution}{resteequa}\opcmp{resteequa}{0}$\ifboolKV[ClesEquation]{LettreSol}{\useKV[ClesEquation]{Lettre}=}{}\displaystyle\ifopeq\opexport{solution}{\solution}\num{\solution}\else\ifboolKV[ClesEquation]{Entier}{\SSimplifie{\Coeffb}{\Coeffa}}{\frac{\num{\Coeffb}}{\num{\Coeffa}}}\fi$.
         }{}
       }
     }
@@ -64,46 +69,51 @@
       \EquaTroisTerme[#1]{#4}{#5}{#2}{}%
     \fi
   \else
-  \xintifboolexpr{#2=0}{%b=cx
+  \xintifboolexpr{#2==0}{%b=cx
     \EquaBase[#1]{#4}{}{}{#3}
   }{%
-    \xintifboolexpr{#4=0}{%ax+b=0
+    \xintifboolexpr{#4==0}{%ax+b=0
       \EquaDeuxTerme[#1]{#2}{#3}{}{0}
-      }{%ax+b=cx
-        \xintifboolexpr{#2=#4}{%
-          \xintifboolexpr{#3=0}{%ax=ax
-            L'équation $\xintifboolexpr{#2=1}{}{\num{#2}}\useKV[ClesEquation]{Lettre}=\xintifboolexpr{#4=1}{}{\num{#4}}\useKV[ClesEquation]{Lettre}$ a une infinité de solutions.}%
-          {%ax+b=ax
-            L'équation $\xintifboolexpr{#2=1}{}{\num{#2}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#3>0}{+\num{#3}}{-\num{\fpeval{0-#3}}}=\xintifboolexpr{#4=1}{}{\num{#4}}\useKV[ClesEquation]{Lettre}$ n'a aucune solution.%
-          }%
-        }{%% Cas délicat
-          \xintifboolexpr{#2>#4}{%ax+b=cx avec a>c
-            \ifboolKV[ClesEquation]{Decomposition}{\colorlet{Cterme}{\useKV[ClesEquation]{CouleurTerme}}}{}
-            \begin{align*}
-              \tikzmark{A-\theNbequa}\xintifboolexpr{#2=1}{}{\num{#2}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#3>0}{+\num{#3}}{-\num{\fpeval{0-#3}}}&=\xintifboolexpr{#4=1}{}{\num{#4}}\useKV[ClesEquation]{Lettre}\tikzmark{E-\theNbequa}\\
-                \xintifboolexpr{#2=1}{}{\num{#2}}\useKV[ClesEquation]{Lettre}\mathcolor{Cterme}{\xintifboolexpr{#4>0}{-\num{#4}\useKV[ClesEquation]{Lettre}}{+\num{\fpeval{0-#4}}\useKV[ClesEquation]{Lettre}}}\xintifboolexpr{#3>0}{+\num{#3}}{-\num{\fpeval{0-#3}}}&=0\\
-              \tikzmark{B-\theNbequa}\xdef\Coeffa{\fpeval{#2-#4}}\xintifboolexpr{\Coeffa=1}{}{\num{\Coeffa}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#3>0}{+\num{#3}}{-\num{\fpeval{0-#3}}}&=0\tikzmark{F-\theNbequa}\\
-              \xintifboolexpr{\Coeffa=1}{}{\num{\Coeffa}}\useKV[ClesEquation]{Lettre}&=0\mathcolor{Cterme}{\xintifboolexpr{#3>0}{-\num{#3}}{+\num{\fpeval{0-#3}}}}\\
-              \tikzmark{C-\theNbequa}\xdef\Coeffb{\fpeval{0-#3}}\xintifboolexpr{\Coeffa=1}{}{\num{\Coeffa}}\useKV[ClesEquation]{Lettre}&=\num{\Coeffb}\tikzmark{G-\theNbequa}%\\
-                \xintifboolexpr{\Coeffa=1}{}{\\}
-                \ifboolKV[ClesEquation]{Fleches}{%
-                \leftcomment{A-\theNbequa}{B-\theNbequa}{A-\theNbequa}{$\xintifboolexpr{#4>0}{-\num{#4}}{+\num{\fpeval{0-#4}}}\useKV[ClesEquation]{Lettre}$}
-                \rightcomment{E-\theNbequa}{F-\theNbequa}{E-\theNbequa}{$\xintifboolexpr{#4>0}{-\num{#4}}{+\num{\fpeval{0-#4}}}\useKV[ClesEquation]{Lettre}$}
-                \leftcomment{B-\theNbequa}{C-\theNbequa}{A-\theNbequa}{$\xintifboolexpr{#3>0}{-\num{#3}}{+\num{\fpeval{0-#3}}}$}%
-                \rightcomment{F-\theNbequa}{G-\theNbequa}{E-\theNbequa}{$\xintifboolexpr{#3>0}{-\num{#3}}{+\num{\fpeval{0-#3}}}$}%
-                }{}
-                \xintifboolexpr{\Coeffa=1}{}{%\ifnum\cmtd>1
-                \tikzmark{D-\theNbequa}\useKV[ClesEquation]{Lettre}&=\frac{\num{\Coeffb}}{\num{\Coeffa}}\tikzmark{H-\theNbequa}%\\
-                \ifboolKV[ClesEquation]{Fleches}{%
-                \leftcomment{C-\theNbequa}{D-\theNbequa}{A-\theNbequa}{$\div\xintifboolexpr{\Coeffa<0}{(\num{\Coeffa})}{\num{\Coeffa}}$}%
-                \rightcomment{G-\theNbequa}{H-\theNbequa}{E-\theNbequa}{$\div\xintifboolexpr{\Coeffa<0}{(\num{\Coeffa})}{\num{\Coeffa}}$}%            
-                }{
-                \ifboolKV[ClesEquation]{FlecheDiv}{%
-                \leftcomment{C-\theNbequa}{D-\theNbequa}{A-\theNbequa}{$\div\xintifboolexpr{\Coeffa<0}{(\num{\Coeffa})}{\num{\Coeffa}}$}%
-                \rightcomment{G-\theNbequa}{H-\theNbequa}{E-\theNbequa}{$\div\xintifboolexpr{\Coeffa<0}{(\num{\Coeffa})}{\num{\Coeffa}}$}%                 
-                }{}
-                }
-                \ifboolKV[ClesEquation]{Entier}{%
+    }{%ax+b=cx
+      \xintifboolexpr{#2==#4}{%
+        \xintifboolexpr{#3==0}{%ax=ax
+          L'équation $\xintifboolexpr{#2==1}{}{\num{#2}}\useKV[ClesEquation]{Lettre}=\xintifboolexpr{#4==1}{}{\num{#4}}\useKV[ClesEquation]{Lettre}$ a une infinité de solutions.}%
+        {%ax+b=ax
+          L'équation $\xintifboolexpr{#2==1}{}{\num{#2}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#3>0}{+\num{#3}}{-\num{\fpeval{0-#3}}}=\xintifboolexpr{#4==1}{}{\num{#4}}\useKV[ClesEquation]{Lettre}$ n'a aucune solution.%
+        }%
+      }{%% Cas délicat
+        \xintifboolexpr{#2>#4}{%ax+b=cx avec a>c
+          \ifboolKV[ClesEquation]{Decomposition}{\colorlet{Cterme}{\useKV[ClesEquation]{CouleurTerme}}}{}
+          \begin{align*}
+            \tikzmark{A-\theNbequa}\xintifboolexpr{#2==1}{}{\num{#2}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#3>0}{+\num{#3}}{-\num{\fpeval{0-#3}}}&=\xintifboolexpr{#4==1}{}{\num{#4}}\useKV[ClesEquation]{Lettre}\tikzmark{E-\theNbequa}\\
+            \xintifboolexpr{#2==1}{}{\num{#2}}\useKV[ClesEquation]{Lettre}\mathcolor{Cterme}{\xintifboolexpr{#4>0}{-\num{#4}\useKV[ClesEquation]{Lettre}}{+\num{\fpeval{0-#4}}\useKV[ClesEquation]{Lettre}}}\xintifboolexpr{#3>0}{+\num{#3}}{-\num{\fpeval{0-#3}}}&=0\\
+            \tikzmark{B-\theNbequa}\xdef\Coeffa{\fpeval{#2-#4}}\xintifboolexpr{\Coeffa==1}{}{\num{\Coeffa}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#3>0}{+\num{#3}}{-\num{\fpeval{0-#3}}}&=0\tikzmark{F-\theNbequa}\\
+            \xintifboolexpr{\Coeffa==1}{}{\num{\Coeffa}}\useKV[ClesEquation]{Lettre}&=0\mathcolor{Cterme}{\xintifboolexpr{#3>0}{-\num{#3}}{+\num{\fpeval{0-#3}}}}\\
+            \tikzmark{C-\theNbequa}\xdef\Coeffb{\fpeval{0-#3}}\xintifboolexpr{\Coeffa==1}{}{\num{\Coeffa}}\useKV[ClesEquation]{Lettre}&=\num{\Coeffb}\tikzmark{G-\theNbequa}%\\
+            \xintifboolexpr{\Coeffa==1}{}{\\}
+            \ifboolKV[ClesEquation]{Fleches}{%
+            \leftcomment{A-\theNbequa}{B-\theNbequa}{A-\theNbequa}{$\xintifboolexpr{#4>0}{-\num{#4}}{+\num{\fpeval{0-#4}}}\useKV[ClesEquation]{Lettre}$}
+            \rightcomment{E-\theNbequa}{F-\theNbequa}{E-\theNbequa}{$\xintifboolexpr{#4>0}{-\num{#4}}{+\num{\fpeval{0-#4}}}\useKV[ClesEquation]{Lettre}$}
+            \leftcomment{B-\theNbequa}{C-\theNbequa}{A-\theNbequa}{$\xintifboolexpr{#3>0}{-\num{#3}}{+\num{\fpeval{0-#3}}}$}%
+            \rightcomment{F-\theNbequa}{G-\theNbequa}{E-\theNbequa}{$\xintifboolexpr{#3>0}{-\num{#3}}{+\num{\fpeval{0-#3}}}$}%
+            }{}
+            \xintifboolexpr{\Coeffa==1}{}{%\ifnum\cmtd>1
+            \tikzmark{D-\theNbequa}\useKV[ClesEquation]{Lettre}&=\frac{\num{\Coeffb}}{\num{\Coeffa}}\tikzmark{H-\theNbequa}%\\
+            \ifboolKV[ClesEquation]{Fleches}{%
+            \leftcomment{C-\theNbequa}{D-\theNbequa}{A-\theNbequa}{$\div\xintifboolexpr{\Coeffa<0}{(\num{\Coeffa})}{\num{\Coeffa}}$}%
+            \rightcomment{G-\theNbequa}{H-\theNbequa}{E-\theNbequa}{$\div\xintifboolexpr{\Coeffa<0}{(\num{\Coeffa})}{\num{\Coeffa}}$}%
+            }{%
+            \ifboolKV[ClesEquation]{FlecheDiv}{%
+            \leftcomment{C-\theNbequa}{D-\theNbequa}{A-\theNbequa}{$\div\xintifboolexpr{\Coeffa<0}{(\num{\Coeffa})}{\num{\Coeffa}}$}%
+            \rightcomment{G-\theNbequa}{H-\theNbequa}{E-\theNbequa}{$\div\xintifboolexpr{\Coeffa<0}{(\num{\Coeffa})}{\num{\Coeffa}}$}%
+            }{}
+            }
+            %% decimal
+            \ifboolKV[ClesEquation]{Decimal}{%
+            \\\useKV[ClesEquation]{Lettre}&=\num{\fpeval{\Coeffb/\Coeffa}}%
+                                            }{}%
+                                        %%%
+            \ifboolKV[ClesEquation]{Entier}{%
                 \SSimpliTest{\Coeffb}{\Coeffa}%
                 \ifboolKV[ClesEquation]{Simplification}{%
                 \ifthenelse{\boolean{Simplification}}{\\\useKV[ClesEquation]{Lettre}&=\SSimplifie{\Coeffb}{\Coeffa}}{}%\\
@@ -112,29 +122,34 @@
                 }
                 \ifboolKV[ClesEquation]{Fleches}{\stepcounter{Nbequa}}{\ifboolKV[ClesEquation]{FlecheDiv}{\stepcounter{Nbequa}}{}}
               \end{align*}
-              \ifboolKV[ClesEquation]{Solution}{L'équation $\xintifboolexpr{#2=1}{}{\num{#2}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#3>0}{+\num{#3}}{-\num{\fpeval{0-#3}}}=\xintifboolexpr{#4=1}{}{\num{#4}}\useKV[ClesEquation]{Lettre}$ a une unique solution : \opdiv*{\Coeffb}{\Coeffa}{solution}{resteequa}\opcmp{resteequa}{0}$\ifboolKV[ClesEquation]{LettreSol}{\useKV[ClesEquation]{Lettre}=}{}\displaystyle\ifopeq\opexport{solution}{\solution}\num{\solution}\else\ifboolKV[ClesEquation]{Entier}{\SSimplifie{\Coeffb}{\Coeffa}}{\frac{\num{\Coeffb}}{\num{\Coeffa}}}\fi$.}{}
+              \ifboolKV[ClesEquation]{Solution}{L'équation $\xintifboolexpr{#2==1}{}{\num{#2}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#3>0}{+\num{#3}}{-\num{\fpeval{0-#3}}}=\xintifboolexpr{#4==1}{}{\num{#4}}\useKV[ClesEquation]{Lettre}$ a une unique solution : \opdiv*{\Coeffb}{\Coeffa}{solution}{resteequa}\opcmp{resteequa}{0}$\ifboolKV[ClesEquation]{LettreSol}{\useKV[ClesEquation]{Lettre}=}{}\displaystyle\ifopeq\opexport{solution}{\solution}\num{\solution}\else\ifboolKV[ClesEquation]{Entier}{\SSimplifie{\Coeffb}{\Coeffa}}{\frac{\num{\Coeffb}}{\num{\Coeffa}}}\fi$.}{}
             }{%ax+b=cx+d avec a<c              % Autre cas délicat
               \ifboolKV[ClesEquation]{Decomposition}{\colorlet{Cterme}{\useKV[ClesEquation]{CouleurTerme}}}{}
               \begin{align*}%
-                \tikzmark{A-\theNbequa}\xintifboolexpr{#2=1}{}{\num{#2}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#3>0}{+\num{#3}}{-\num{\fpeval{0-#3}}}&=\xintifboolexpr{#4=1}{}{\num{#4}}\useKV[ClesEquation]{Lettre}\tikzmark{E-\theNbequa}\\
-                \xintifboolexpr{#3>0}{\num{#3}}{-\num{\fpeval{0-#3}}}&=\xintifboolexpr{#4=1}{}{\num{#4}}\useKV[ClesEquation]{Lettre}\mathcolor{Cterme}{\xintifboolexpr{#2>0}{-\num{#2}\useKV[ClesEquation]{Lettre}}{+\num{\fpeval{0-#2}}\useKV[ClesEquation]{Lettre}}}\\
-                \tikzmark{B-\theNbequa}\xdef\Coeffb{#3}\xdef\Coeffa{\fpeval{#4-#2}}\xintifboolexpr{#3>0}{\num{#3}}{-\num{\fpeval{0-#3}}}&=\xintifboolexpr{\Coeffa=1}{}{\num{\Coeffa}}\useKV[ClesEquation]{Lettre}\tikzmark{F-\theNbequa}
-                \xintifboolexpr{\Coeffa=1}{}{\\}
+                \tikzmark{A-\theNbequa}\xintifboolexpr{#2==1}{}{\num{#2}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#3>0}{+\num{#3}}{-\num{\fpeval{0-#3}}}&=\xintifboolexpr{#4==1}{}{\num{#4}}\useKV[ClesEquation]{Lettre}\tikzmark{E-\theNbequa}\\
+                \xintifboolexpr{#3>0}{\num{#3}}{-\num{\fpeval{0-#3}}}&=\xintifboolexpr{#4==1}{}{\num{#4}}\useKV[ClesEquation]{Lettre}\mathcolor{Cterme}{\xintifboolexpr{#2>0}{-\num{#2}\useKV[ClesEquation]{Lettre}}{+\num{\fpeval{0-#2}}\useKV[ClesEquation]{Lettre}}}\\
+                \tikzmark{B-\theNbequa}\xdef\Coeffb{#3}\xdef\Coeffa{\fpeval{#4-#2}}\xintifboolexpr{#3>0}{\num{#3}}{-\num{\fpeval{0-#3}}}&=\xintifboolexpr{\Coeffa==1}{}{\num{\Coeffa}}\useKV[ClesEquation]{Lettre}\tikzmark{F-\theNbequa}
+                \xintifboolexpr{\Coeffa==1}{}{\\}
                 \ifboolKV[ClesEquation]{Fleches}{%
                 \leftcomment{A-\theNbequa}{B-\theNbequa}{A-\theNbequa}{$\xintifboolexpr{#2>0}{-\num{#2}}{+\num{\fpeval{0-#2}}}\useKV[ClesEquation]{Lettre}$}
                 \rightcomment{E-\theNbequa}{F-\theNbequa}{E-\theNbequa}{$\xintifboolexpr{#2>0}{-\num{#2}}{+\num{\fpeval{0-#2}}}\useKV[ClesEquation]{Lettre}$}
                 }{}
-                \xintifboolexpr{\Coeffa=1}{}{%\ifnum\cmtd>1
+                \xintifboolexpr{\Coeffa==1}{}{%\ifnum\cmtd>1
                 \tikzmark{D-\theNbequa}\frac{\num{\Coeffb}}{\num{\Coeffa}}&=\useKV[ClesEquation]{Lettre}\tikzmark{H-\theNbequa}%\\
                 \ifboolKV[ClesEquation]{Fleches}{%
                 \leftcomment{B-\theNbequa}{D-\theNbequa}{A-\theNbequa}{$\div\xintifboolexpr{\Coeffa<0}{(\num{\Coeffa})}{\num{\Coeffa}}$}%
-                \rightcomment{F-\theNbequa}{H-\theNbequa}{E-\theNbequa}{$\div\xintifboolexpr{\Coeffa<0}{(\num{\Coeffa})}{\num{\Coeffa}}$}%            
+                \rightcomment{F-\theNbequa}{H-\theNbequa}{E-\theNbequa}{$\div\xintifboolexpr{\Coeffa<0}{(\num{\Coeffa})}{\num{\Coeffa}}$}%
                 }{
                 \ifboolKV[ClesEquation]{FlecheDiv}{%
                 \leftcomment{B-\theNbequa}{D-\theNbequa}{A-\theNbequa}{$\div\xintifboolexpr{\Coeffa<0}{(\num{\Coeffa})}{\num{\Coeffa}}$}%
-                \rightcomment{F-\theNbequa}{H-\theNbequa}{E-\theNbequa}{$\div\xintifboolexpr{\Coeffa<0}{(\num{\Coeffa})}{\num{\Coeffa}}$}%                 
+                \rightcomment{F-\theNbequa}{H-\theNbequa}{E-\theNbequa}{$\div\xintifboolexpr{\Coeffa<0}{(\num{\Coeffa})}{\num{\Coeffa}}$}%
                 }{}
                 }
+                %% decimal
+                \ifboolKV[ClesEquation]{Decimal}{%
+                \\\num{\fpeval{\Coeffb/\Coeffa}}&=\useKV[ClesEquation]{Lettre}%
+                                        }{}%
+                                        %%%
                 \ifboolKV[ClesEquation]{Entier}{%
                 \SSimpliTest{\Coeffb}{\Coeffa}%
                 \ifboolKV[ClesEquation]{Simplification}{%
@@ -144,7 +159,7 @@
                 }
                 \ifboolKV[ClesEquation]{Fleches}{\stepcounter{Nbequa}}{\ifboolKV[ClesEquation]{FlecheDiv}{\stepcounter{Nbequa}}{}}
               \end{align*}
-              \ifboolKV[ClesEquation]{Solution}{L'équation $\xintifboolexpr{#2=1}{}{\num{#2}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#3>0}{+\num{#3}}{-\num{\fpeval{0-#3}}}=\xintifboolexpr{#4=1}{}{\num{#4}}\useKV[ClesEquation]{Lettre}$ a une unique solution : \opdiv*{\Coeffb}{\Coeffa}{solution}{resteequa}\opcmp{resteequa}{0}$\ifboolKV[ClesEquation]{LettreSol}{\useKV[ClesEquation]{Lettre}=}{}\displaystyle\ifopeq\opexport{solution}{\solution}\num{\solution}\else\ifboolKV[ClesEquation]{Entier}{\SSimplifie{\Coeffb}{\Coeffa}}{\frac{\num{\Coeffb}}{\num{\Coeffa}}}\fi$.}{}%
+              \ifboolKV[ClesEquation]{Solution}{L'équation $\xintifboolexpr{#2==1}{}{\num{#2}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#3>0}{+\num{#3}}{-\num{\fpeval{0-#3}}}=\xintifboolexpr{#4==1}{}{\num{#4}}\useKV[ClesEquation]{Lettre}$ a une unique solution : \opdiv*{\Coeffb}{\Coeffa}{solution}{resteequa}\opcmp{resteequa}{0}$\ifboolKV[ClesEquation]{LettreSol}{\useKV[ClesEquation]{Lettre}=}{}\displaystyle\ifopeq\opexport{solution}{\solution}\num{\solution}\else\ifboolKV[ClesEquation]{Entier}{\SSimplifie{\Coeffb}{\Coeffa}}{\frac{\num{\Coeffb}}{\num{\Coeffa}}}\fi$.}{}%
             }%
           }%
         }%
@@ -155,9 +170,9 @@
 \newcommand{\ResolEquationTerme}[5][]{%
   \useKVdefault[ClesEquation]%
   \setKV[ClesEquation]{#1}%
-  \xintifboolexpr{#2=0}{%
-    \xintifboolexpr{#4=0}{%
-      \xintifboolexpr{#3=#5}{%b=d
+  \xintifboolexpr{#2==0}{%
+    \xintifboolexpr{#4==0}{%
+      \xintifboolexpr{#3==#5}{%b=d
         L'équation $\num{#3}=\num{#5}$ a une infinité de solutions.}%
       {%b<>d
         L'équation $\num{#3}=\num{#5}$ n'a aucune solution.%
@@ -167,56 +182,61 @@
       \EquaDeuxTerme[#1]{#4}{#5}{#2}{#3}%
     }%
   }{%
-    \xintifboolexpr{#4=0}{%ax+b=0x+d
+    \xintifboolexpr{#4==0}{%ax+b=0x+d
       \EquaDeuxTerme[#1]{#2}{#3}{}{#5}%
     }
     {%ax+b=cx+d$
-      \xintifboolexpr{#3=0}{%
-        \xintifboolexpr{#5=0}{%ax=cx
+      \xintifboolexpr{#3==0}{%
+        \xintifboolexpr{#5==0}{%ax=cx
           \EquaTroisTerme[#1]{#2}{0}{#4}{}%
         }%
         {%ax=cx+d
           \EquaTroisTerme[#1]{#4}{#5}{#2}{}%
         }%
       }%
-      {\xintifboolexpr{#5=0}{%ax+b=cx
+      {\xintifboolexpr{#5==0}{%ax+b=cx
           \EquaTroisTerme[#1]{#2}{#3}{#4}{}%
         }%
         {%ax+b=cx+d -- ici
-          \xintifboolexpr{#2=#4}{%
-            \xintifboolexpr{#3=#5}{%b=d
-              L'équation $\xintifboolexpr{#2=1}{}{\num{#2}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#3>0}{+\num{#3}}{-\num{\fpeval{0-#3}}}=\xintifboolexpr{#4=1}{}{\num{#4}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#5>0}{+\num{#5}}{-\num{\fpeval{0-#5}}}$ a une infinité de solutions.}%
+          \xintifboolexpr{#2==#4}{%
+            \xintifboolexpr{#3==#5}{%b=d
+              L'équation $\xintifboolexpr{#2==1}{}{\num{#2}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#3>0}{+\num{#3}}{-\num{\fpeval{0-#3}}}=\xintifboolexpr{#4==1}{}{\num{#4}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#5>0}{+\num{#5}}{-\num{\fpeval{0-#5}}}$ a une infinité de solutions.}%
             {%b<>d
-              L'équation $\xintifboolexpr{#2=1}{}{\num{#2}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#3>0}{+\num{#3}}{-\num{\fpeval{0-#3}}}=\xintifboolexpr{#4=1}{}{\num{#4}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#5>0}{+\num{#5}}{-\num{\fpeval{0-#5}}}$ n'a aucune solution.%
+              L'équation $\xintifboolexpr{#2==1}{}{\num{#2}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#3>0}{+\num{#3}}{-\num{\fpeval{0-#3}}}=\xintifboolexpr{#4==1}{}{\num{#4}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#5>0}{+\num{#5}}{-\num{\fpeval{0-#5}}}$ n'a aucune solution.%
             }%
           }{
             %% Cas délicat
             \xintifboolexpr{#2>#4}{%ax+b=cx+d avec a>c
               \ifboolKV[ClesEquation]{Decomposition}{\colorlet{Cterme}{\useKV[ClesEquation]{CouleurTerme}}}{}
               \begin{align*}
-                \tikzmark{A-\theNbequa}\xintifboolexpr{#2=1}{}{\num{#2}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#3>0}{+\num{#3}}{-\num{\fpeval{0-#3}}}&=\xintifboolexpr{#4=1}{}{\num{#4}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#5>0}{+\num{#5}}{-\num{\fpeval{0-#5}}}\tikzmark{E-\theNbequa}\\
-                \xintifboolexpr{#2=1}{}{\num{#2}}\useKV[ClesEquation]{Lettre}\mathcolor{Cterme}{\xintifboolexpr{#4>0}{-\num{#4}\useKV[ClesEquation]{Lettre}}{+\num{\fpeval{0-#4}}\useKV[ClesEquation]{Lettre}}}\xintifboolexpr{#3>0}{+\num{#3}}{-\num{\fpeval{0-#3}}}&=\xintifboolexpr{#5>0}{\num{#5}}{-\num{\fpeval{0-#5}}}\\
-                \tikzmark{B-\theNbequa}\xdef\Coeffa{\fpeval{#2-#4}}\xintifboolexpr{\Coeffa=1}{}{\num{\Coeffa}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#3>0}{+\num{#3}}{-\num{\fpeval{0-#3}}}&=\num{#5}\tikzmark{F-\theNbequa}\tikzmark{F-\theNbequa}\\
-                \xintifboolexpr{\Coeffa=1}{}{\num{\Coeffa}}\useKV[ClesEquation]{Lettre}&=\num{#5}\mathcolor{Cterme}{\xintifboolexpr{#3>0}{-\num{#3}}{+\num{\fpeval{0-#3}}}}\\
-                \tikzmark{C-\theNbequa}\xdef\Coeffb{\fpeval{#5-#3}}\xintifboolexpr{\Coeffa=1}{}{\num{\Coeffa}}\useKV[ClesEquation]{Lettre}&=\num{\Coeffb}\tikzmark{G-\theNbequa}%\\
-                \xintifboolexpr{\Coeffa=1}{}{\\}
+                \tikzmark{A-\theNbequa}\xintifboolexpr{#2==1}{}{\num{#2}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#3>0}{+\num{#3}}{-\num{\fpeval{0-#3}}}&=\xintifboolexpr{#4==1}{}{\num{#4}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#5>0}{+\num{#5}}{-\num{\fpeval{0-#5}}}\tikzmark{E-\theNbequa}\\
+                \xintifboolexpr{#2==1}{}{\num{#2}}\useKV[ClesEquation]{Lettre}\mathcolor{Cterme}{\xintifboolexpr{#4>0}{-\num{#4}\useKV[ClesEquation]{Lettre}}{+\num{\fpeval{0-#4}}\useKV[ClesEquation]{Lettre}}}\xintifboolexpr{#3>0}{+\num{#3}}{-\num{\fpeval{0-#3}}}&=\xintifboolexpr{#5>0}{\num{#5}}{-\num{\fpeval{0-#5}}}\\
+                \tikzmark{B-\theNbequa}\xdef\Coeffa{\fpeval{#2-#4}}\xintifboolexpr{\Coeffa==1}{}{\num{\Coeffa}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#3>0}{+\num{#3}}{-\num{\fpeval{0-#3}}}&=\num{#5}\tikzmark{F-\theNbequa}\tikzmark{F-\theNbequa}\\
+                \xintifboolexpr{\Coeffa==1}{}{\num{\Coeffa}}\useKV[ClesEquation]{Lettre}&=\num{#5}\mathcolor{Cterme}{\xintifboolexpr{#3>0}{-\num{#3}}{+\num{\fpeval{0-#3}}}}\\
+                \tikzmark{C-\theNbequa}\xdef\Coeffb{\fpeval{#5-#3}}\xintifboolexpr{\Coeffa==1}{}{\num{\Coeffa}}\useKV[ClesEquation]{Lettre}&=\num{\Coeffb}\tikzmark{G-\theNbequa}%\\
+                \xintifboolexpr{\Coeffa==1}{}{\\}
                 \ifboolKV[ClesEquation]{Fleches}{%
                 \leftcomment{A-\theNbequa}{B-\theNbequa}{A-\theNbequa}{$\xintifboolexpr{#4>0}{-\num{#4}}{+\num{\fpeval{0-#4}}}\useKV[ClesEquation]{Lettre}$}
                 \rightcomment{E-\theNbequa}{F-\theNbequa}{E-\theNbequa}{$\xintifboolexpr{#4>0}{-\num{#4}}{+\num{\fpeval{0-#4}}}\useKV[ClesEquation]{Lettre}$}
                 \leftcomment{B-\theNbequa}{C-\theNbequa}{A-\theNbequa}{$\xintifboolexpr{#3>0}{-\num{#3}}{+\num{\fpeval{0-#3}}}$}%
                 \rightcomment{F-\theNbequa}{G-\theNbequa}{E-\theNbequa}{$\xintifboolexpr{#3>0}{-\num{#3}}{+\num{\fpeval{0-#3}}}$}%
                 }{}
-                \xintifboolexpr{\Coeffa=1}{}{%\ifnum\cmtd>1
+                \xintifboolexpr{\Coeffa==1}{}{%\ifnum\cmtd>1
                 \tikzmark{D-\theNbequa}\useKV[ClesEquation]{Lettre}&=\frac{\num{\Coeffb}}{\num{\Coeffa}}\tikzmark{H-\theNbequa}%\\
                 \ifboolKV[ClesEquation]{Fleches}{%
                 \leftcomment{C-\theNbequa}{D-\theNbequa}{A-\theNbequa}{$\div\xintifboolexpr{\Coeffa<0}{(\num{\Coeffa})}{\num{\Coeffa}}$}%
-                \rightcomment{G-\theNbequa}{H-\theNbequa}{E-\theNbequa}{$\div\xintifboolexpr{\Coeffa<0}{(\num{\Coeffa})}{\num{\Coeffa}}$}%            
+                \rightcomment{G-\theNbequa}{H-\theNbequa}{E-\theNbequa}{$\div\xintifboolexpr{\Coeffa<0}{(\num{\Coeffa})}{\num{\Coeffa}}$}%
                 }{
                 \ifboolKV[ClesEquation]{FlecheDiv}{%
                 \leftcomment{C-\theNbequa}{D-\theNbequa}{A-\theNbequa}{$\div\xintifboolexpr{\Coeffa<0}{(\num{\Coeffa})}{\num{\Coeffa}}$}%
-                \rightcomment{G-\theNbequa}{H-\theNbequa}{E-\theNbequa}{$\div\xintifboolexpr{\Coeffa<0}{(\num{\Coeffa})}{\num{\Coeffa}}$}%                 
+                \rightcomment{G-\theNbequa}{H-\theNbequa}{E-\theNbequa}{$\div\xintifboolexpr{\Coeffa<0}{(\num{\Coeffa})}{\num{\Coeffa}}$}%
                 }{}
                 }
+                %% decimal
+                \ifboolKV[ClesEquation]{Decimal}{%
+                \\\useKV[ClesEquation]{Lettre}&=\num{\fpeval{\Coeffb/\Coeffa}}%
+                                        }{}%
+                                        %%%
                 \ifboolKV[ClesEquation]{Entier}{%
                 \SSimpliTest{\Coeffb}{\Coeffa}%
                 \ifboolKV[ClesEquation]{Simplification}{%
@@ -226,34 +246,39 @@
                 }
                 \ifboolKV[ClesEquation]{Fleches}{\stepcounter{Nbequa}}{\ifboolKV[ClesEquation]{FlecheDiv}{\stepcounter{Nbequa}}{}}
               \end{align*}
-              \ifboolKV[ClesEquation]{Solution}{L'équation $\xintifboolexpr{#2=1}{}{\num{#2}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#3>0}{+\num{#3}}{-\num{\fpeval{0-#3}}}=\xintifboolexpr{#4=1}{}{\num{#4}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#5>0}{+\num{#5}}{-\num{\fpeval{0-#5}}}$ a une unique solution : \opdiv*{\Coeffb}{\Coeffa}{solution}{resteequa}\opcmp{resteequa}{0}$\ifboolKV[ClesEquation]{LettreSol}{\useKV[ClesEquation]{Lettre}=}{}\displaystyle\ifopeq\opexport{solution}{\solution}\num{\solution}\else\ifboolKV[ClesEquation]{Entier}{\SSimplifie{\Coeffb}{\Coeffa}}{\frac{\num{\Coeffb}}{\num{\Coeffa}}}\fi$.%
+              \ifboolKV[ClesEquation]{Solution}{L'équation $\xintifboolexpr{#2==1}{}{\num{#2}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#3>0}{+\num{#3}}{-\num{\fpeval{0-#3}}}=\xintifboolexpr{#4==1}{}{\num{#4}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#5>0}{+\num{#5}}{-\num{\fpeval{0-#5}}}$ a une unique solution : \opdiv*{\Coeffb}{\Coeffa}{solution}{resteequa}\opcmp{resteequa}{0}$\ifboolKV[ClesEquation]{LettreSol}{\useKV[ClesEquation]{Lettre}=}{}\displaystyle\ifopeq\opexport{solution}{\solution}\num{\solution}\else\ifboolKV[ClesEquation]{Entier}{\SSimplifie{\Coeffb}{\Coeffa}}{\frac{\num{\Coeffb}}{\num{\Coeffa}}}\fi$.%
               }{}
             }{%ax+b=cx+d avec a<c              % Autre cas délicat
               \ifboolKV[ClesEquation]{Decomposition}{\colorlet{Cterme}{\useKV[ClesEquation]{CouleurTerme}}}{}
               \begin{align*}%
-                \tikzmark{A-\theNbequa}\xintifboolexpr{#2=1}{}{\num{#2}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#3>0}{+\num{#3}}{-\num{\fpeval{0-#3}}}&=\xintifboolexpr{#4=1}{}{\num{#4}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#5>0}{+\num{#5}}{-\num{\fpeval{0-#5}}}\tikzmark{E-\theNbequa}\\
-                \xintifboolexpr{#3>0}{\num{#3}}{-\num{\fpeval{0-#3}}}&=\xintifboolexpr{#4=1}{}{\num{#4}}\useKV[ClesEquation]{Lettre}\mathcolor{Cterme}{\xintifboolexpr{#2>0}{-\num{#2}\useKV[ClesEquation]{Lettre}}{+\num{\fpeval{0-#2}}\useKV[ClesEquation]{Lettre}}}\xintifboolexpr{#5>0}{+\num{#5}}{-\num{\fpeval{0-#5}}}\\
-                \tikzmark{B-\theNbequa}\xdef\Coeffa{\fpeval{#4-#2}}\xintifboolexpr{#3>0}{\num{#3}}{-\num{\fpeval{0-#3}}}&=\xintifboolexpr{\Coeffa=1}{}{\num{\Coeffa}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#5>0}{+\num{#5}}{-\num{\fpeval{0-#5}}}\tikzmark{F-\theNbequa}\\
-                \num{#3}\mathcolor{Cterme}{\xintifboolexpr{#5>0}{-\num{#5}}{+\num{\fpeval{0-#5}}}}&=\xintifboolexpr{\Coeffa=1}{}{\num{\Coeffa}}\useKV[ClesEquation]{Lettre}\\
-                \tikzmark{C-\theNbequa}\xdef\Coeffb{\fpeval{#3-#5}}\num{\Coeffb}&=\xintifboolexpr{\Coeffa=1}{}{\num{\Coeffa}}\useKV[ClesEquation]{Lettre}\tikzmark{G-\theNbequa}%\\
-                \xintifboolexpr{\Coeffa=1}{}{\\}
+                \tikzmark{A-\theNbequa}\xintifboolexpr{#2==1}{}{\num{#2}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#3>0}{+\num{#3}}{-\num{\fpeval{0-#3}}}&=\xintifboolexpr{#4==1}{}{\num{#4}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#5>0}{+\num{#5}}{-\num{\fpeval{0-#5}}}\tikzmark{E-\theNbequa}\\
+                \xintifboolexpr{#3>0}{\num{#3}}{-\num{\fpeval{0-#3}}}&=\xintifboolexpr{#4==1}{}{\num{#4}}\useKV[ClesEquation]{Lettre}\mathcolor{Cterme}{\xintifboolexpr{#2>0}{-\num{#2}\useKV[ClesEquation]{Lettre}}{+\num{\fpeval{0-#2}}\useKV[ClesEquation]{Lettre}}}\xintifboolexpr{#5>0}{+\num{#5}}{-\num{\fpeval{0-#5}}}\\
+                \tikzmark{B-\theNbequa}\xdef\Coeffa{\fpeval{#4-#2}}\xintifboolexpr{#3>0}{\num{#3}}{-\num{\fpeval{0-#3}}}&=\xintifboolexpr{\Coeffa==1}{}{\num{\Coeffa}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#5>0}{+\num{#5}}{-\num{\fpeval{0-#5}}}\tikzmark{F-\theNbequa}\\
+                \num{#3}\mathcolor{Cterme}{\xintifboolexpr{#5>0}{-\num{#5}}{+\num{\fpeval{0-#5}}}}&=\xintifboolexpr{\Coeffa==1}{}{\num{\Coeffa}}\useKV[ClesEquation]{Lettre}\\
+                \tikzmark{C-\theNbequa}\xdef\Coeffb{\fpeval{#3-#5}}\num{\Coeffb}&=\xintifboolexpr{\Coeffa==1}{}{\num{\Coeffa}}\useKV[ClesEquation]{Lettre}\tikzmark{G-\theNbequa}%\\
+                \xintifboolexpr{\Coeffa==1}{}{\\}
                 \ifboolKV[ClesEquation]{Fleches}{%
                 \leftcomment{A-\theNbequa}{B-\theNbequa}{A-\theNbequa}{$\xintifboolexpr{#2>0}{-\num{#2}}{+\num{\fpeval{0-#2}}}\useKV[ClesEquation]{Lettre}$}
                 \rightcomment{E-\theNbequa}{F-\theNbequa}{E-\theNbequa}{$\xintifboolexpr{#2>0}{-\num{#2}}{+\num{\fpeval{0-#2}}}\useKV[ClesEquation]{Lettre}$}
                 \leftcomment{B-\theNbequa}{C-\theNbequa}{A-\theNbequa}{$\xintifboolexpr{#5>0}{-\num{#5}}{+\num{\fpeval{0-#5}}}$}%
                 \rightcomment{F-\theNbequa}{G-\theNbequa}{E-\theNbequa}{$\xintifboolexpr{#5>0}{-\num{#5}}{+\num{\fpeval{0-#5}}}$}%
                 }{}
-                \xintifboolexpr{\Coeffa=1}{}{%\ifnum\cmtd>1
+                \xintifboolexpr{\Coeffa==1}{}{%\ifnum\cmtd>1
                 \tikzmark{D-\theNbequa}\frac{\num{\Coeffb}}{\num{\Coeffa}}&=\useKV[ClesEquation]{Lettre}\tikzmark{H-\theNbequa}%\\
                 \ifboolKV[ClesEquation]{Fleches}{%
                 \leftcomment{C-\theNbequa}{D-\theNbequa}{A-\theNbequa}{$\div\xintifboolexpr{\Coeffa<0}{(\num{\Coeffa})}{\num{\Coeffa}}$}%
-                \rightcomment{G-\theNbequa}{H-\theNbequa}{E-\theNbequa}{$\div\xintifboolexpr{\Coeffa<0}{(\num{\Coeffa})}{\num{\Coeffa}}$}%            
-                }{
+                \rightcomment{G-\theNbequa}{H-\theNbequa}{E-\theNbequa}{$\div\xintifboolexpr{\Coeffa<0}{(\num{\Coeffa})}{\num{\Coeffa}}$}%
+                }{%
                 \ifboolKV[ClesEquation]{FlecheDiv}{%
                 \leftcomment{C-\theNbequa}{D-\theNbequa}{A-\theNbequa}{$\div\xintifboolexpr{\Coeffa<0}{(\num{\Coeffa})}{\num{\Coeffa}}$}%
-                \rightcomment{G-\theNbequa}{H-\theNbequa}{E-\theNbequa}{$\div\xintifboolexpr{\Coeffa<0}{(\num{\Coeffa})}{\num{\Coeffa}}$}%                 
+                \rightcomment{G-\theNbequa}{H-\theNbequa}{E-\theNbequa}{$\div\xintifboolexpr{\Coeffa<0}{(\num{\Coeffa})}{\num{\Coeffa}}$}%        
                 }{}
                 }
+                %% decimal
+                \ifboolKV[ClesEquation]{Decimal}{%
+                \\\num{\fpeval{\Coeffb/\Coeffa}}&=\useKV[ClesEquation]{Lettre}%
+                                                }{}%
+                                        %%%
                 \ifboolKV[ClesEquation]{Entier}{%
                 \SSimpliTest{\Coeffb}{\Coeffa}%
                 \ifboolKV[ClesEquation]{Simplification}{%
@@ -263,7 +288,7 @@
                 }
                 \ifboolKV[ClesEquation]{Fleches}{\stepcounter{Nbequa}}{\ifboolKV[ClesEquation]{FlecheDiv}{\stepcounter{Nbequa}}{}}
               \end{align*}
-              \ifboolKV[ClesEquation]{Solution}{L'équation $\xintifboolexpr{#2=1}{}{\num{#2}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#3>0}{+\num{#3}}{-\num{\fpeval{0-#3}}}=\xintifboolexpr{#4=1}{}{\num{#4}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#5>0}{+\num{#5}}{-\num{\fpeval{0-#5}}}$ a une unique solution : \opdiv*{\Coeffb}{\Coeffa}{solution}{resteequa}\opcmp{resteequa}{0}$\ifboolKV[ClesEquation]{LettreSol}{\useKV[ClesEquation]{Lettre}=}{}\displaystyle\ifopeq\opexport{solution}{\solution}\num{\solution}\else\ifboolKV[ClesEquation]{Entier}{\SSimplifie{\Coeffb}{\Coeffa}}{\frac{\num{\Coeffb}}{\num{\Coeffa}}}\fi$.%
+              \ifboolKV[ClesEquation]{Solution}{L'équation $\xintifboolexpr{#2==1}{}{\num{#2}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#3>0}{+\num{#3}}{-\num{\fpeval{0-#3}}}=\xintifboolexpr{#4==1}{}{\num{#4}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#5>0}{+\num{#5}}{-\num{\fpeval{0-#5}}}$ a une unique solution : \opdiv*{\Coeffb}{\Coeffa}{solution}{resteequa}\opcmp{resteequa}{0}$\ifboolKV[ClesEquation]{LettreSol}{\useKV[ClesEquation]{Lettre}=}{}\displaystyle\ifopeq\opexport{solution}{\solution}\num{\solution}\else\ifboolKV[ClesEquation]{Entier}{\SSimplifie{\Coeffb}{\Coeffa}}{\frac{\num{\Coeffb}}{\num{\Coeffa}}}\fi$.%
               }{}%
             }%
           }%
diff --git a/Master/texmf-dist/tex/latex/profcollege/ProfCollege.sty b/Master/texmf-dist/tex/latex/profcollege/ProfCollege.sty
index 563ce3af328..e32797a1cfd 100644
--- a/Master/texmf-dist/tex/latex/profcollege/ProfCollege.sty
+++ b/Master/texmf-dist/tex/latex/profcollege/ProfCollege.sty
@@ -3,7 +3,7 @@
 % or later, see http://www.latex-project.org/lppl.txtf
 
 \NeedsTeXFormat{LaTeX2e}
-\ProvidesPackage{ProfCollege}[2021/05/15 v0.99-b Aide pour l'utilisation de LaTeX au collège]
+\ProvidesPackage{ProfCollege}[2021/06/04 v0.99-d Aide pour l'utilisation de LaTeX au collège]
 
 \RequirePackage{verbatim}
 
@@ -16,7 +16,7 @@
   locale=FR,
   detect-all,%
   output-decimal-marker={,},%
-  group-four-digits%
+  group-minimum-digits=4%
 }
 
 \DeclareSIUnit{\kmh}{\km\per\hour}
@@ -29,7 +29,7 @@
 \DeclareSIUnit{\jour}{j}
 \DeclareSIUnit{\quintal}{q}
 \DeclareSIUnit{\octet}{o}
-\DeclareSIUnit{\fahrenheit}{\degree F}
+\DeclareSIUnit{\fahrenheit}{\text{\textdegree}F}
 \DeclareSIUnit{\EuRo}{€}
 
 \RequirePackage[table,svgnames]{xcolor}%Gestion des couleurs
@@ -139,7 +139,7 @@
 %encadrer avec des "sommets arrondis"
 \newsavebox{\logobox}
 
-\newcommand{\Logo}[2]{%
+\newcommand\Logo[2]{%
 \setbox1=\hbox{\includegraphics[scale=#2]{#1}}
 \begin{tikzpicture}%
 \clip[rounded corners=5mm] (0,0) rectangle (\wd1,\ht1);
@@ -486,7 +486,7 @@
 %%%
 % Labyrinthe
 %%%
-\setKVdefault[Labyrinthe]{Lignes=6,Colonnes=3,Longueur=4,Hauteur=2,Passages=false,EcartH=1,EcartV=1,CouleurF=gray!50,Texte=\color{black},SensImpose=false,Slop}
+\setKVdefault[Labyrinthe]{Lignes=6,Colonnes=3,Longueur=4,Hauteur=2,Passages=false,EcartH=1,EcartV=1,CouleurF=gray!50,Texte=\color{yellow},SensImpose=false,Slop}
 
 \tikzset{FDirect/.style={-stealth}}
 \tikzset{FIndirect/.style={stealth-}}
@@ -510,10 +510,10 @@
     \xdef\TotalLaby{\fpeval{3*\useKV[Labyrinthe]{Colonnes}-2}}%
   }%
   \xdef\CouleurF{\useKV[Labyrinthe]{CouleurF}}%
-  \xdef\MotifTexte{\useKV[Labyrinthe]{Texte}}%
-  \xintifboolexpr{\ListeLabylen=\fpeval{\useKV[Labyrinthe]{Lignes}*\useKV[Labyrinthe]{Colonnes}}}{%
+  \xdef\MotifTexte{\noexpand\useKV[Labyrinthe]{Texte}}%
+  \xintifboolexpr{\ListeLabylen==\fpeval{\useKV[Labyrinthe]{Lignes}*\useKV[Labyrinthe]{Colonnes}}}{%
     \begin{tikzpicture}[remember picture]%
-      % on dessine les cadres
+%      % on dessine les cadres
       \foreach \compteurv in {1,...,\useKV[Labyrinthe]{Lignes}}{%
         \foreach \compteurh in {1,...,\useKV[Labyrinthe]{Colonnes}}{%
           \xdef\ColorFill{\ListeLaby[\fpeval{\useKV[Labyrinthe]{Colonnes}*(\compteurv-1)+\compteurh},2]}%
@@ -529,19 +529,19 @@
           \foreach \compteurh in {1,...,\useKV[Labyrinthe]{Colonnes}}{%
             \ifboolKV[Labyrinthe]{Passages}{%
               \xdef\NomNode{\noexpand\ListeLabySol[\fpeval{\TotalLaby*(\compteurv-1)+\useKV[Labyrinthe]{Colonnes}+3*(\compteurh-1)},1]}%
-              \xintifboolexpr{\ListeLabySol[\fpeval{\TotalLaby*(\compteurv-1)+\useKV[Labyrinthe]{Colonnes}+3*(\compteurh-1)},2]>0}{\xintifboolexpr{\ListeLabySol[\fpeval{\TotalLaby*(\compteurv-1)+\useKV[Labyrinthe]{Colonnes}+3*(\compteurh-1)},2]=1}{\xdef\NomStyle{FDirect}}{\xintifboolexpr{\ListeLabySol[\fpeval{\TotalLaby*(\compteurv-1)+\useKV[Labyrinthe]{Colonnes}+3*(\compteurh-1)},2]=2}{\xdef\NomStyle{FIndirect}}{\xdef\NomStyle{FBidirect}}}%
+              \xintifboolexpr{\ListeLabySol[\fpeval{\TotalLaby*(\compteurv-1)+\useKV[Labyrinthe]{Colonnes}+3*(\compteurh-1)},2]>0}{\xintifboolexpr{\ListeLabySol[\fpeval{\TotalLaby*(\compteurv-1)+\useKV[Labyrinthe]{Colonnes}+3*(\compteurh-1)},2]==1}{\xdef\NomStyle{FDirect}}{\xintifboolexpr{\ListeLabySol[\fpeval{\TotalLaby*(\compteurv-1)+\useKV[Labyrinthe]{Colonnes}+3*(\compteurh-1)},2]==2}{\xdef\NomStyle{FIndirect}}{\xdef\NomStyle{FBidirect}}}%
                 \draw[\CouleurF,line width=3pt,\NomStyle] (A-\compteurh-\compteurv) -- node[fill=white,midway,inner sep=2pt]{\MotifTexte\NomNode}(A-\compteurh-\fpeval{\compteurv+1});}{}%
             }{%
               \draw[\CouleurF,line width=3pt,FBidirect] (A-\compteurh-\compteurv) -- (A-\compteurh-\fpeval{\compteurv+1});%
             }%
           }%
         }%
-        % horizontales
+%        % horizontales
         \foreach \compteurv in {1,...,\useKV[Labyrinthe]{Lignes}}{%
           \foreach \compteurh in {1,...,\fpeval{\useKV[Labyrinthe]{Colonnes}-1}}{%
             \ifboolKV[Labyrinthe]{Passages}{%
               \xdef\NomNode{\noexpand\ListeLabySol[\fpeval{\TotalLaby*(\compteurv-1)+\compteurh},1]}%
-              \xintifboolexpr{\ListeLabySol[\fpeval{\TotalLaby*(\compteurv-1)+\compteurh},2]>0}{\xintifboolexpr{\ListeLabySol[\fpeval{\TotalLaby*(\compteurv-1)+\compteurh},2]=1}{\xdef\NomStyle{FDirect}}{\xintifboolexpr{\ListeLabySol[\fpeval{\TotalLaby*(\compteurv-1)+\compteurh},2]=2}{\xdef\NomStyle{FIndirect}}{\xdef\NomStyle{FBidirect}}}%
+              \xintifboolexpr{\ListeLabySol[\fpeval{\TotalLaby*(\compteurv-1)+\compteurh},2]>0}{\xintifboolexpr{\ListeLabySol[\fpeval{\TotalLaby*(\compteurv-1)+\compteurh},2]==1}{\xdef\NomStyle{FDirect}}{\xintifboolexpr{\ListeLabySol[\fpeval{\TotalLaby*(\compteurv-1)+\compteurh},2]==2}{\xdef\NomStyle{FIndirect}}{\xdef\NomStyle{FBidirect}}}%
               \draw[\CouleurF,line width=3pt,\NomStyle](A-\compteurh-\compteurv) -- node[fill=white,midway,\LabySlop,inner sep=2pt]{\MotifTexte\NomNode}(A-\fpeval{\compteurh+1}-\compteurv);}{}
             }{%
               \draw[\CouleurF,line width=3pt,FBidirect](A-\compteurh-\compteurv) -- (A-\fpeval{\compteurh+1}-\compteurv);%
@@ -553,7 +553,7 @@
           \foreach \compteurh in {1,...,\fpeval{\useKV[Labyrinthe]{Colonnes}-1}}{%
             \ifboolKV[Labyrinthe]{Passages}{%
               \xdef\NomNode{\noexpand\ListeLabySol[\fpeval{\TotalLaby*(\compteurv-2)+\useKV[Labyrinthe]{Colonnes}+3*(\compteurh-1)+2},1]}%
-              \xintifboolexpr{\ListeLabySol[\fpeval{\TotalLaby*(\compteurv-2)+\useKV[Labyrinthe]{Colonnes}+3*(\compteurh-1)+2},2]>0}{\xintifboolexpr{\ListeLabySol[\fpeval{\TotalLaby*(\compteurv-2)+\useKV[Labyrinthe]{Colonnes}+3*(\compteurh-1)+2},2]=1}{\xdef\NomStyle{FDirect}}{\xintifboolexpr{\ListeLabySol[\fpeval{\TotalLaby*(\compteurv-2)+\useKV[Labyrinthe]{Colonnes}+3*(\compteurh-1)+2},2]=2}{\xdef\NomStyle{FIndirect}}{\xdef\NomStyle{FBidirect}}}%
+              \xintifboolexpr{\ListeLabySol[\fpeval{\TotalLaby*(\compteurv-2)+\useKV[Labyrinthe]{Colonnes}+3*(\compteurh-1)+2},2]>0}{\xintifboolexpr{\ListeLabySol[\fpeval{\TotalLaby*(\compteurv-2)+\useKV[Labyrinthe]{Colonnes}+3*(\compteurh-1)+2},2]==1}{\xdef\NomStyle{FDirect}}{\xintifboolexpr{\ListeLabySol[\fpeval{\TotalLaby*(\compteurv-2)+\useKV[Labyrinthe]{Colonnes}+3*(\compteurh-1)+2},2]==2}{\xdef\NomStyle{FIndirect}}{\xdef\NomStyle{FBidirect}}}%
                 \draw[\CouleurF,line width=3pt,\NomStyle] (A-\compteurh-\compteurv) -- node[fill=white,near start,\LabySlop,inner sep=2pt]{\MotifTexte\NomNode}(A-\fpeval{\compteurh+1}-\fpeval{\compteurv-1});
               }{}
             }{%
@@ -561,18 +561,17 @@
             }%
           }%
         }%
-%        % diagonales directes
+%%        % diagonales directes
         \foreach \compteurv in {1,...,\fpeval{\useKV[Labyrinthe]{Lignes}-1}}{%
           \foreach \compteurh in {1,...,\fpeval{\useKV[Labyrinthe]{Colonnes}-1}}{%
             \ifboolKV[Labyrinthe]{Passages}{%
               \xdef\NomNode{\noexpand\ListeLabySol[\fpeval{\TotalLaby*(\compteurv-1)+\useKV[Labyrinthe]{Colonnes}+3*(\compteurh-1)+1},1]}%
               \xintifboolexpr{\ListeLabySol[\fpeval{\TotalLaby*(\compteurv-1)+\useKV[Labyrinthe]{Colonnes}+3*(\compteurh-1)+1},2]>0}{%
-                \xintifboolexpr{\ListeLabySol[\fpeval{\TotalLaby*(\compteurv-1)+\useKV[Labyrinthe]{Colonnes}+3*(\compteurh-1)+1},2]=1}{\xdef\NomStyle{FDirect}}{\xintifboolexpr{\ListeLabySol[\fpeval{\TotalLaby*(\compteurv-1)+\useKV[Labyrinthe]{Colonnes}+3*(\compteurh-1)+1},2]=2}{\xdef\NomStyle{FIndirect}}{\xdef\NomStyle{FBidirect}}}
+                \xintifboolexpr{\ListeLabySol[\fpeval{\TotalLaby*(\compteurv-1)+\useKV[Labyrinthe]{Colonnes}+3*(\compteurh-1)+1},2]==1}{\xdef\NomStyle{FDirect}}{\xintifboolexpr{\ListeLabySol[\fpeval{\TotalLaby*(\compteurv-1)+\useKV[Labyrinthe]{Colonnes}+3*(\compteurh-1)+1},2]==2}{\xdef\NomStyle{FIndirect}}{\xdef\NomStyle{FBidirect}}}
                 \draw[\CouleurF,line width=3pt,\NomStyle] (A-\compteurh-\compteurv) -- node[fill=white,near start,\LabySlop,inner sep=2pt]{\MotifTexte\NomNode}(A-\fpeval{\compteurh+1}-\fpeval{\compteurv+1});
               }{}%
             }{%
               \draw[\CouleurF,line width=3pt,FBidirect] (A-\compteurh-\compteurv) -- node[fill=white,near start,\LabySlop]{\MotifTexte\NomNode}(A-\fpeval{\compteurh+1}-\fpeval{\compteurv+1});
-%              }{}%
             }%          
           }%
         }%
@@ -590,7 +589,7 @@
         \foreach \compteurv in {1,...,\useKV[Labyrinthe]{Lignes}}{%
           \foreach \compteurh in {1,...,\fpeval{\useKV[Labyrinthe]{Colonnes}-1}}{%
             \ifboolKV[Labyrinthe]{Passages}{%
-              \xdef\NomNode{\ListeLabySol[1,\fpeval{\TotalLaby*(\compteurv-1)+\compteurh}]}%
+              \xdef\NomNode{\noexpand\ListeLabySol[1,\fpeval{\TotalLaby*(\compteurv-1)+\compteurh}]}%
               \draw[\CouleurF,line width=3pt,stealth-stealth]
               (A-\compteurh-\compteurv) -- node[fill=white,midway]{\MotifTexte\NomNode}(A-\fpeval{\compteurh+1}-\compteurv);
             }{%
@@ -607,18 +606,19 @@
         \foreach \compteurv in {1,...,\fpeval{\useKV[Labyrinthe]{Lignes}-1}}{%
           \foreach \compteurh in {1,...,\fpeval{\useKV[Labyrinthe]{Colonnes}-1}}{%
             \ifboolKV[Labyrinthe]{Passages}{%
-              \xdef\NomNode{\ListeLabySol[1,\fpeval{\TotalLaby*(\compteurv-1)+\useKV[Labyrinthe]{Colonnes}+2*(\compteurh-1)+1}]}%
+              \xdef\NomNode{\noexpand\ListeLabySol[1,\fpeval{\TotalLaby*(\compteurv-1)+\useKV[Labyrinthe]{Colonnes}+2*(\compteurh-1)+1}]}%
               \draw[\CouleurF,line width=3pt,stealth-stealth] (A-\compteurh-\compteurv) -- node[fill=white,midway]{\MotifTexte\NomNode}(A-\fpeval{\compteurh+1}-\fpeval{\compteurv+1});
             }{%
               \draw[\CouleurF,line width=3pt,stealth-stealth] (A-\compteurh-\compteurv) -- (A-\fpeval{\compteurh+1}-\fpeval{\compteurv+1});
             }%          
           }%
         }%
-      % fin des fl\`eches
+%      % fin des fl\`eches
     }
-    \end{tikzpicture}
-  }{\textbf{! Le nombre d'informations n'est pas compatible avec les
-      d\'efinitions de {\ttfamily Colonnes} et {\ttfamily Lignes} !}}%
+  \end{tikzpicture}
+   }{
+  \textbf{! Le nombre d'informations n'est pas compatible avec les
+    d\'efinitions de {\ttfamily Colonnes} et {\ttfamily Lignes} !}}%
 }
 
 %%%
@@ -758,7 +758,7 @@
   }{%
     \setsepchar[*]{,*/}%
     \readlist\ListeCalc{#2}%
-    \foreachitem\compteur\in\ListeCalc{\xintifboolexpr{\listlen\ListeCalc[\compteurcnt]=2}{\Longstack{{\tiny\ListeCalc[\compteurcnt,1]} \KN{\ListeCalc[\compteurcnt,2]}}}{\Longstack{{\tiny\ListeCalc[\compteurcnt,2]} \KY{\ListeCalc[\compteurcnt,3]}}}%
+    \foreachitem\compteur\in\ListeCalc{\xintifboolexpr{\listlen\ListeCalc[\compteurcnt]==2}{\Longstack{{\tiny\ListeCalc[\compteurcnt,1]} \KN{\ListeCalc[\compteurcnt,2]}}}{\Longstack{{\tiny\ListeCalc[\compteurcnt,2]} \KY{\ListeCalc[\compteurcnt,3]}}}%
     }%
   }%
   \setstackgap{L}{\baselineskip}%
@@ -991,11 +991,11 @@
   \begin{tikzpicture}%
     \begin{scope}[start chain=transition going right,node distance=-\pgflinewidth]%
       \foreach \s in {1,...,\ListeFlashlen}{%
-        \xintifboolexpr{\s = 1}{%
+        \xintifboolexpr{\s == 1}{%
           \node[arrow,on chain] {\Huge\bfseries\ListeFlash[\s]};%
           \ifboolKV[ClesFlash]{Pause}{\pause}{}%
         }{%
-          \xintifboolexpr{\s = \ListeFlashlen}{%
+          \xintifboolexpr{\s == \ListeFlashlen}{%
             \node[arrow,on chain] {\Huge\bfseries?};%
           }{%
             \node[arrow,on chain] {\ListeFlash[\s]};%
@@ -2428,10 +2428,10 @@
 %%%
 % QCM
 %%%
-\setKVdefault[ClesQCM]{Reponses=3,Solution=false,Stretch=1,Largeur=2cm,Couleur=gray!15,Titre=false,Nom=R\'eponse,NomV=Vrai,NomF=Faux,Alph=false,AlphT=false,VF=false,Depart=1,Alterne=false,Noms={A/B/C},Multiple=false}
-\newlength{\LargeurQCM}
-\newcounter{QuestionQCM}
-\newcounter{TitreQCM}
+\setKVdefault[ClesQCM]{Reponses=3,Solution=false,Stretch=1,Largeur=2cm,Couleur=gray!15,Titre=false,Nom=R\'eponse,NomV=Vrai,NomF=Faux,Alph=false,AlphT=false,VF=false,Depart=1,Alterne=false,Noms={A/B/C},Multiple=false}%
+\newlength{\LargeurQCM}%
+\newcounter{QuestionQCM}%
+\newcounter{TitreQCM}%
 \newcommand\QCM[2][]{%
   \useKVdefault[ClesQCM]%
   \setKV[ClesQCM]{#1}%
@@ -2454,7 +2454,7 @@
       \hline%
       \xintFor* ##1 in {\xintSeq {1}{\ListeQCMlen}}\do{%
       \stepcounter{QuestionQCM}\ifboolKV[ClesQCM]{Alterne}{\modulo{\theQuestionQCM}{2}\ifnum\remainder=0\cellcolor{gray!15}\fi}{}\ifboolKV[ClesQCM]{Alph}{\textbf{\Alph{QuestionQCM}}/}{\textbf{\theQuestionQCM/}}~\ListeQCM[##1,1]\xintFor* ##2 in {\xintSeq {1}{\useKV[ClesQCM]{Reponses}}}\do{%
-      &\ifboolKV[ClesQCM]{Alterne}{\modulo{\theQuestionQCM}{2}\ifnum\remainder=0\cellcolor{gray!15}\fi}{}\ifboolKV[ClesQCM]{Solution}{\xintifboolexpr{\ListeQCM[##1,\fpeval{##2+1}]=1}{$\boxtimes$}{$\square$}}{$\square$}%
+      &\ifboolKV[ClesQCM]{Alterne}{\modulo{\theQuestionQCM}{2}\ifnum\remainder=0\cellcolor{gray!15}\fi}{}\ifboolKV[ClesQCM]{Solution}{\xintifboolexpr{\ListeQCM[##1,\fpeval{##2+1}]==1}{$\boxtimes$}{$\square$}}{$\square$}%
         }\\
       }%
       \hline%
@@ -2471,7 +2471,7 @@
         \hline%
         \xintFor* ##1 in {\xintSeq {1}{\ListeQCMlen}}\do{%
         \stepcounter{QuestionQCM}\ifboolKV[ClesQCM]{Alterne}{\modulo{\theQuestionQCM}{2}\ifnum\remainder=0\cellcolor{gray!15}\fi}{}\ifboolKV[ClesQCM]{Alph}{\textbf{\Alph{QuestionQCM}}/}{\textbf{\theQuestionQCM/}}~\ListeQCM[##1,1]\xintFor* ##2 in {\xintSeq {1}{\useKV[ClesQCM]{Reponses}}}\do{%
-                             &\ifboolKV[ClesQCM]{Alterne}{\modulo{\theQuestionQCM}{2}\ifnum\remainder=0\cellcolor{gray!15}\fi}{}\ifboolKV[ClesQCM]{Solution}{\xintifboolexpr{##2=\ListeQCM[##1,2]}{$\boxtimes$}{$\square$}}{$\square$}%
+                             &\ifboolKV[ClesQCM]{Alterne}{\modulo{\theQuestionQCM}{2}\ifnum\remainder=0\cellcolor{gray!15}\fi}{}\ifboolKV[ClesQCM]{Solution}{\xintifboolexpr{##2==\ListeQCM[##1,2]}{$\boxtimes$}{$\square$}}{$\square$}%
                                }\\
         }%
         \hline%
@@ -2489,7 +2489,7 @@
         \hline%
         \xintFor* ##1 in {\xintSeq {1}{\ListeQCMlen}}\do{%
         \stepcounter{QuestionQCM}\ifboolKV[ClesQCM]{Alterne}{\modulo{\theQuestionQCM}{2}\ifnum\remainder=0\cellcolor{gray!15}\fi}{}\ifboolKV[ClesQCM]{Alph}{\textbf{\Alph{QuestionQCM}}/}{\textbf{\theQuestionQCM/}}~\ListeQCM[##1,1]\xintFor* ##2 in {\xintSeq {1}{\useKV[ClesQCM]{Reponses}}}\do{%
-        &\ifboolKV[ClesQCM]{Alterne}{\modulo{\theQuestionQCM}{2}\ifnum\remainder=0\cellcolor{gray!15}\fi}{}\ifboolKV[ClesQCM]{Solution}{\xdef\NumeroReponse{\fpeval{\useKV[ClesQCM]{Reponses}+2}}\xintifboolexpr{##2=\ListeQCM[##1,\NumeroReponse]}{\cellcolor{\useKV[ClesQCM]{Couleur}}}{}}{}\ListeQCM[##1,##2+1]%
+        &\ifboolKV[ClesQCM]{Alterne}{\modulo{\theQuestionQCM}{2}\ifnum\remainder=0\cellcolor{gray!15}\fi}{}\ifboolKV[ClesQCM]{Solution}{\xdef\NumeroReponse{\fpeval{\useKV[ClesQCM]{Reponses}+2}}\xintifboolexpr{##2==\ListeQCM[##1,\NumeroReponse]}{\cellcolor{\useKV[ClesQCM]{Couleur}}}{}}{}\ListeQCM[##1,##2+1]%
           }\\
         }%
         \hline%
@@ -2498,7 +2498,7 @@
   }%
 }
 
-\newcommand\QCMVar[2][]{%
+\newcommand\QCMPfC[2][]{%
   \useKVdefault[ClesQCM]%
   \setKV[ClesQCM]{#1}%
   \setcounter{QuestionQCM}{\fpeval{\useKV[ClesQCM]{Depart}-1}}%
@@ -2520,7 +2520,7 @@
       \hline%
       \xintFor* ##1 in {\xintSeq {1}{\ListeQCMlen}}\do{%
       \stepcounter{QuestionQCM}\ifboolKV[ClesQCM]{Alterne}{\modulo{\theQuestionQCM}{2}\ifnum\remainder=0\cellcolor{gray!15}\fi}{}\ifboolKV[ClesQCM]{Alph}{\textbf{\Alph{QuestionQCM}}/}{\textbf{\theQuestionQCM/}}~\ListeQCM[##1,1]\xintFor* ##2 in {\xintSeq {1}{\useKV[ClesQCM]{Reponses}}}\do{%
-      &\ifboolKV[ClesQCM]{Alterne}{\modulo{\theQuestionQCM}{2}\ifnum\remainder=0\cellcolor{gray!15}\fi}{}\ifboolKV[ClesQCM]{Solution}{\xintifboolexpr{\ListeQCM[##1,\fpeval{##2+1}]=1}{$\boxtimes$}{$\square$}}{$\square$}%
+      &\ifboolKV[ClesQCM]{Alterne}{\modulo{\theQuestionQCM}{2}\ifnum\remainder=0\cellcolor{gray!15}\fi}{}\ifboolKV[ClesQCM]{Solution}{\xintifboolexpr{\ListeQCM[##1,\fpeval{##2+1}]==1}{$\boxtimes$}{$\square$}}{$\square$}%
         }\\
       }%
       \hline%
@@ -2537,7 +2537,7 @@
         \hline%
         \xintFor* ##1 in {\xintSeq {1}{\ListeQCMlen}}\do{%
         \stepcounter{QuestionQCM}\ifboolKV[ClesQCM]{Alterne}{\modulo{\theQuestionQCM}{2}\ifnum\remainder=0\cellcolor{gray!15}\fi}{}\ifboolKV[ClesQCM]{Alph}{\textbf{\Alph{QuestionQCM}}/}{\textbf{\theQuestionQCM/}}~\ListeQCM[##1,1]\xintFor* ##2 in {\xintSeq {1}{\useKV[ClesQCM]{Reponses}}}\do{%
-                             &\ifboolKV[ClesQCM]{Alterne}{\modulo{\theQuestionQCM}{2}\ifnum\remainder=0\cellcolor{gray!15}\fi}{}\ifboolKV[ClesQCM]{Solution}{\xintifboolexpr{##2=\ListeQCM[##1,2]}{$\boxtimes$}{$\square$}}{$\square$}%
+                             &\ifboolKV[ClesQCM]{Alterne}{\modulo{\theQuestionQCM}{2}\ifnum\remainder=0\cellcolor{gray!15}\fi}{}\ifboolKV[ClesQCM]{Solution}{\xintifboolexpr{##2==\ListeQCM[##1,2]}{$\boxtimes$}{$\square$}}{$\square$}%
                                }\\
         }%
         \hline%
@@ -2555,7 +2555,7 @@
         \hline%
         \xintFor* ##1 in {\xintSeq {1}{\ListeQCMlen}}\do{%
         \stepcounter{QuestionQCM}\ifboolKV[ClesQCM]{Alterne}{\modulo{\theQuestionQCM}{2}\ifnum\remainder=0\cellcolor{gray!15}\fi}{}\ifboolKV[ClesQCM]{Alph}{\textbf{\Alph{QuestionQCM}}/}{\textbf{\theQuestionQCM/}}~\ListeQCM[##1,1]\xintFor* ##2 in {\xintSeq {1}{\useKV[ClesQCM]{Reponses}}}\do{%
-        &\ifboolKV[ClesQCM]{Alterne}{\modulo{\theQuestionQCM}{2}\ifnum\remainder=0\cellcolor{gray!15}\fi}{}\ifboolKV[ClesQCM]{Solution}{\xdef\NumeroReponse{\fpeval{\useKV[ClesQCM]{Reponses}+2}}\xintifboolexpr{##2=\ListeQCM[##1,\NumeroReponse]}{\cellcolor{\useKV[ClesQCM]{Couleur}}}{}}{}\ListeQCM[##1,##2+1]%
+        &\ifboolKV[ClesQCM]{Alterne}{\modulo{\theQuestionQCM}{2}\ifnum\remainder=0\cellcolor{gray!15}\fi}{}\ifboolKV[ClesQCM]{Solution}{\xdef\NumeroReponse{\fpeval{\useKV[ClesQCM]{Reponses}+2}}\xintifboolexpr{##2==\ListeQCM[##1,\NumeroReponse]}{\cellcolor{\useKV[ClesQCM]{Couleur}}}{}}{}\ListeQCM[##1,##2+1]%
           }\\
         }%
         \hline%
@@ -3106,7 +3106,7 @@
           \ifboolKV[ClesPythagore]{Perso}{\RedactionPythagore}{\ifboolKV[ClesPythagore]{Egalite}{Comme le triangle $#2$ est rectangle en $\NomB$, alors l'\'egalit\'e de Pythagore est v\'erifi\'ee :}{Dans le triangle $#2$ rectangle en $\NomB$, le th\'eor\`eme de Pythagore permet d'\'ecrire :%
             }%
           }%
-          \xintifboolexpr{#3<#4 || #3=#4}{%\ifnum#3<#4%
+          \xintifboolexpr{#3<#4 || #3==#4}{%\ifnum#3<#4%
             \xdef\ResultatPytha{\fpeval{round(sqrt(#3^2+#4^2),\useKV[ClesPythagore]{Precision})}}%
             \xdef\ResultatPytha{\fpeval{round(sqrt(#3^2+#4^2),\useKV[ClesPythagore]{Precision})}}%
             \begin{align*}
@@ -3138,7 +3138,7 @@
         % On d\'emarre la r\'esolution
         \ifboolKV[ClesPythagore]{Perso}{\RedactionPythagore}{\ifboolKV[ClesPythagore]{Egalite}{Comme le triangle $#2$ est rectangle en $\NomB$, alors l'\'egalit\'e de Pythagore est v\'erifi\'ee :}{Dans le triangle $#2$ rectangle en $\NomB$, le th\'eor\`eme de Pythagore permet d'\'ecrire :%
         }}%
-        \xintifboolexpr{#3<#4 || #3=#4}{%\ifnum#3<#4%
+        \xintifboolexpr{#3<#4 || #3==#4}{%\ifnum#3<#4%
           \xdef\ResultatPytha{\fpeval{round(sqrt(#3^2+#4^2),\useKV[ClesPythagore]{Precision})}}%
           \begin{align*}
             \NomA\NomC^2&=\NomA\NomB^2+\NomB\NomC^2\\
@@ -3548,14 +3548,14 @@
   \def\LETTRE{\useKV[ClesDistributivite]{Lettre}}%
   \ensuremath{%
     % partie du x^2
-    \xintifboolexpr{#2=0}{}{\xintifboolexpr{#2=1}{}{\xintifboolexpr{#2=-1}{-}{\num{#2}}}\LETTRE^2}%
+    \xintifboolexpr{#2==0}{}{\xintifboolexpr{#2==1}{}{\xintifboolexpr{#2==-1}{-}{\num{#2}}}\LETTRE^2}%
     % partie du x
-    \xintifboolexpr{#3=0}{}{\xintifboolexpr{#3>0}{\xintifboolexpr{#2=0}{}{+}\xintifboolexpr{#3=1}{}{\num{#3}}}{%
-        \xintifboolexpr{#2=0}{\xintifboolexpr{#3=-1}{-}{\num{#3}}}{\xintifboolexpr{#3=-1}{-}{-\num{\fpeval{abs(#3)}}}}%
+    \xintifboolexpr{#3==0}{}{\xintifboolexpr{#3>0}{\xintifboolexpr{#2==0}{}{+}\xintifboolexpr{#3==1}{}{\num{#3}}}{%
+        \xintifboolexpr{#2==0}{\xintifboolexpr{#3==-1}{-}{\num{#3}}}{\xintifboolexpr{#3==-1}{-}{-\num{\fpeval{abs(#3)}}}}%
       }\LETTRE}%
     % partie du nombre
-    \xintifboolexpr{#4=0}{}{\xintifboolexpr{#4>0}{\xintifboolexpr{#2=0}{\xintifboolexpr{#3=0}{}{+}}{+}\num{#4}}{%
-        \xintifboolexpr{#2=0}{\xintifboolexpr{#3=0}{\num{#4}}{-\num{\fpeval{abs(#4)}}}}{-\num{\fpeval{abs(#4)}}}}}%
+    \xintifboolexpr{#4==0}{}{\xintifboolexpr{#4>0}{\xintifboolexpr{#2==0}{\xintifboolexpr{#3==0}{}{+}}{+}\num{#4}}{%
+        \xintifboolexpr{#2==0}{\xintifboolexpr{#3==0}{\num{#4}}{-\num{\fpeval{abs(#4)}}}}{-\num{\fpeval{abs(#4)}}}}}%
     % 
   }%
 }%
@@ -3582,11 +3582,11 @@
         \DistriEchange[#1]{#2}{#3}{#4}{#5}%
       }{%
         \ifboolKV[ClesDistributivite]{Remarquable}{%
-          \xintifboolexpr{\useKV[ClesDistributivite]{Etape}=1}{%
+          \xintifboolexpr{\useKV[ClesDistributivite]{Etape}==1}{%
             \ifx\bla#4\bla(\Affichage{0}{#2}{#3})^2\else(\Affichage{0}{#2}{#3})(\Affichage{0}{#4}{#5})\fi%
           }{}
-          \xintifboolexpr{\useKV[ClesDistributivite]{Etape}=2}{\ifx\bla#4\bla\xintifboolexpr{#3>0}{\xintifboolexpr{#2=1}{}{(\num{#2}}\useKV[ClesDistributivite]{Lettre}\xintifboolexpr{#2=1}{}{)}^2+2\times\xintifboolexpr{#2=1}{}{\num{#2}}\useKV[ClesDistributivite]{Lettre}\times\num{#3}+\num{#3}^2}{\xintifboolexpr{#2=1}{}{(\num{#2}}\useKV[ClesDistributivite]{Lettre}\xintifboolexpr{#2=1}{}{)}^2-2\times\xintifboolexpr{#2=1}{}{\num{#2}}\useKV[ClesDistributivite]{Lettre}\times\num{\fpeval{0-#3}}+\num{\fpeval{0-#3}}^2}\else\xintifboolexpr{#2=1}{}{(\num{#2}}\useKV[ClesDistributivite]{Lettre}\xintifboolexpr{#2=1}{}{)}^2-\num{#3}^2\fi}{}
-          \xintifboolexpr{\useKV[ClesDistributivite]{Etape}=3}{%
+          \xintifboolexpr{\useKV[ClesDistributivite]{Etape}==2}{\ifx\bla#4\bla\xintifboolexpr{#3>0}{\xintifboolexpr{#2==1}{}{(\num{#2}}\useKV[ClesDistributivite]{Lettre}\xintifboolexpr{#2==1}{}{)}^2+2\times\xintifboolexpr{#2==1}{}{\num{#2}}\useKV[ClesDistributivite]{Lettre}\times\num{#3}+\num{#3}^2}{\xintifboolexpr{#2==1}{}{(\num{#2}}\useKV[ClesDistributivite]{Lettre}\xintifboolexpr{#2==1}{}{)}^2-2\times\xintifboolexpr{#2==1}{}{\num{#2}}\useKV[ClesDistributivite]{Lettre}\times\num{\fpeval{0-#3}}+\num{\fpeval{0-#3}}^2}\else\xintifboolexpr{#2==1}{}{(\num{#2}}\useKV[ClesDistributivite]{Lettre}\xintifboolexpr{#2==1}{}{)}^2-\num{#3}^2\fi}{}
+          \xintifboolexpr{\useKV[ClesDistributivite]{Etape}==3}{%
             \xintifboolexpr{\theNbCalculDistri>1}{\setcounter{NbCalculDistri}{0}}{}%
             \stepcounter{NbCalculDistri}%
             \ifx\bla#4\bla%
@@ -3601,9 +3601,9 @@
               \xdef\Multi{\fpeval{-\Multi}}%
               \xdef\Multim{\fpeval{-\Multim}}%
               \xdef\Multil{\fpeval{-\Multil}}%
-              \xintifboolexpr{\Multi=0}{}{\xintifboolexpr{\Multi<0}{(}{}\Affichage{\Multi}{0}{0}\xintifboolexpr{\Multi<0}{)}{}}%
-              \xintifboolexpr{\Multim=0}{}{\xintifboolexpr{\Multim>0}{+}{+(}\Affichage{0}{\Multim}{0}\xintifboolexpr{\Multim<0}{)}{}}%
-              \xintifboolexpr{\Multil=0}{}{\xintifboolexpr{\Multil>0}{+}{+(}\Affichage{0}{0}{\Multil}\xintifboolexpr{\Multil<0}{)}{}}%
+              \xintifboolexpr{\Multi==0}{}{\xintifboolexpr{\Multi<0}{(}{}\Affichage{\Multi}{0}{0}\xintifboolexpr{\Multi<0}{)}{}}%
+              \xintifboolexpr{\Multim==0}{}{\xintifboolexpr{\Multim>0}{+}{+(}\Affichage{0}{\Multim}{0}\xintifboolexpr{\Multim<0}{)}{}}%
+              \xintifboolexpr{\Multil==0}{}{\xintifboolexpr{\Multil>0}{+}{+(}\Affichage{0}{0}{\Multil}\xintifboolexpr{\Multil<0}{)}{}}%
             }{%
               \Affichage{\Multi}{\Multim}{\Multil}%
             }
@@ -3621,9 +3621,9 @@
               \xdef\Multi{\fpeval{-\Multi}}%
               \xdef\Multim{\fpeval{-\Multim}}%
               \xdef\Multil{\fpeval{-\Multil}}%
-              \xintifboolexpr{\Multi=0}{}{\xintifboolexpr{\Multi<0}{(}{}\Affichage{\Multi}{0}{0}\xintifboolexpr{\Multi<0}{)}{}}%
-              \xintifboolexpr{\Multim=0}{}{\xintifboolexpr{\Multim>0}{+}{+(}\Affichage{0}{\Multim}{0}\xintifboolexpr{\Multim<0}{)}{}}%
-              \xintifboolexpr{\Multil=0}{}{\xintifboolexpr{\Multil>0}{+}{+(}\Affichage{0}{0}{\Multil}\xintifboolexpr{\Multil<0}{)}{}}%
+              \xintifboolexpr{\Multi==0}{}{\xintifboolexpr{\Multi<0}{(}{}\Affichage{\Multi}{0}{0}\xintifboolexpr{\Multi<0}{)}{}}%
+              \xintifboolexpr{\Multim==0}{}{\xintifboolexpr{\Multim>0}{+}{+(}\Affichage{0}{\Multim}{0}\xintifboolexpr{\Multim<0}{)}{}}%
+              \xintifboolexpr{\Multil==0}{}{\xintifboolexpr{\Multil>0}{+}{+(}\Affichage{0}{0}{\Multil}\xintifboolexpr{\Multil<0}{)}{}}%
             }{%
               \Affichage{\Multi}{\Multim}{\Multil}%
             }
@@ -3633,17 +3633,17 @@
           }{}%
         }{%
           \ifboolKV[ClesDistributivite]{Numerique}{%
-            \xintifboolexpr{\useKV[ClesDistributivite]{Etape}=0}{%
+            \xintifboolexpr{\useKV[ClesDistributivite]{Etape}==0}{%
               \num{\fpeval{#2+#3}}\times\num{\fpeval{#4+#5}}\multido{\i=2+1}{4}{=\Distri[Numerique,Etape=\i]{#2}{#3}{#4}{#5}}%
             }{%
-              \xintifboolexpr{\useKV[ClesDistributivite]{Etape}=-1}{%
+              \xintifboolexpr{\useKV[ClesDistributivite]{Etape}==-1}{%
                 \Distri[Numerique,Etape=3]{#2}{#3}{#4}{#5}\multido{\i=2+-1}{2}{=\Distri[Numerique,Etape=\i]{#2}{#3}{#4}{#5}}=\num{\fpeval{(#2+#3)*(#4+#5)}}%
               }{%
-                \xintifboolexpr{\useKV[ClesDistributivite]{Etape}=1}{\num{\fpeval{#2+#3}}\times\num{\fpeval{#4+#5}}}{}%
-                \xintifboolexpr{\useKV[ClesDistributivite]{Etape}=2}{\num{\fpeval{#2+#3}}\times(\num{#4}\xintifboolexpr{#5>0}{+}{-}\num{\fpeval{abs(#5)}})}{}%
-                \xintifboolexpr{\useKV[ClesDistributivite]{Etape}=3}{\num{#3}\times\num{#4}\xintifboolexpr{#5>0}{+}{-}\num{#3}\times\num{\fpeval{abs(#5)}}}{}%
-                \xintifboolexpr{\useKV[ClesDistributivite]{Etape}=4}{\num{\fpeval{#3*#4}}\xintifboolexpr{#5>0}{+}{-}\num{\fpeval{abs(#3*#5)}}}{}%
-                \xintifboolexpr{\useKV[ClesDistributivite]{Etape}=5}{\num{\fpeval{#3*#4+#3*#5}}}{}%
+                \xintifboolexpr{\useKV[ClesDistributivite]{Etape}==1}{\num{\fpeval{#2+#3}}\times\num{\fpeval{#4+#5}}}{}%
+                \xintifboolexpr{\useKV[ClesDistributivite]{Etape}==2}{\num{\fpeval{#2+#3}}\times(\num{#4}\xintifboolexpr{#5>0}{+}{-}\num{\fpeval{abs(#5)}})}{}%
+                \xintifboolexpr{\useKV[ClesDistributivite]{Etape}==3}{\num{#3}\times\num{#4}\xintifboolexpr{#5>0}{+}{-}\num{#3}\times\num{\fpeval{abs(#5)}}}{}%
+                \xintifboolexpr{\useKV[ClesDistributivite]{Etape}==4}{\num{\fpeval{#3*#4}}\xintifboolexpr{#5>0}{+}{-}\num{\fpeval{abs(#3*#5)}}}{}%
+                \xintifboolexpr{\useKV[ClesDistributivite]{Etape}==5}{\num{\fpeval{#3*#4+#3*#5}}}{}%
               }%
             }%
           }{%
@@ -3655,58 +3655,58 @@
               \NomLettre&=\Distri[Etape=\NomFin]{#2}{#3}{#4}{#5}%
             }{%
               % Etape 1
-              \xintifboolexpr{\useKV[ClesDistributivite]{Etape}=1}{%
-                \xintifboolexpr{#2=0}{%
-                }{\xintifboolexpr{#3=0}{}{(}}\Tikzmark{\Affichage[#1]{0}{#2}{0}}%
+              \xintifboolexpr{\useKV[ClesDistributivite]{Etape}==1}{%
+                \xintifboolexpr{#2==0}{%
+                }{\xintifboolexpr{#3==0}{}{(}}\Tikzmark{\Affichage[#1]{0}{#2}{0}}%
                 \ifboolKV[ClesDistributivite]{AideAdda}{\mathcolor{DCAide}{+(}}{}%
-                \xintifboolexpr{#3>0}{\xintifboolexpr{#2=0}{}{+}}{\xintifboolexpr{#3<0}{-}{}}\Tikzmark{\Affichage[#1]{0}{0}{\fpeval{abs(#3)}}}%
+                \xintifboolexpr{#3>0}{\xintifboolexpr{#2==0}{}{+}}{\xintifboolexpr{#3<0}{-}{}}\Tikzmark{\Affichage[#1]{0}{0}{\fpeval{abs(#3)}}}%
                 \ifboolKV[ClesDistributivite]{AideAdda}{\mathcolor{DCAide}{)}}{}%
-                \xintifboolexpr{#2=0}{}{\xintifboolexpr{#3=0}{}{)}}%
+                \xintifboolexpr{#2==0}{}{\xintifboolexpr{#3==0}{}{)}}%
                 % 
                 \ifboolKV[ClesDistributivite]{AideMul}{\times}{}%on aide dans le cas double
                 \xdef\Multi{\fpeval{#4*#5}}%affichage auto si (a+b)xk
                 % 
-                \xintifboolexpr{\Multi=0}{\times%
+                \xintifboolexpr{\Multi==0}{\times%
                   \xintifboolexpr{#4<0}{(}{\xintifboolexpr{#5<0}{(}{}}}{(}%
                 \Tikzmark{\Affichage[#1]{0}{#4}{0}}%
                 \ifboolKV[ClesDistributivite]{AideAddb}{\mathcolor{DCAide}{+(}}{}%
-                \xintifboolexpr{#5>0}{\xintifboolexpr{#4=0}{}{+}}{\xintifboolexpr{#5<0}{\xintifboolexpr{#4=0}{{-}}{-}}{}}\Tikzmark{\Affichage[#1]{0}{0}{\fpeval{abs(#5)}}}%
+                \xintifboolexpr{#5>0}{\xintifboolexpr{#4==0}{}{+}}{\xintifboolexpr{#5<0}{\xintifboolexpr{#4==0}{{-}}{-}}{}}\Tikzmark{\Affichage[#1]{0}{0}{\fpeval{abs(#5)}}}%
                 \ifboolKV[ClesDistributivite]{AideAddb}{\mathcolor{DCAide}{)}}{}%
-                \xintifboolexpr{\Multi=0}{%
+                \xintifboolexpr{\Multi==0}{%
                   \xintifboolexpr{#4<0}{)}{\xintifboolexpr{#5<0}{)}{}}}{)}%
                 \ifboolKV[ClesDistributivite]{Fleches}{%
                   \xdef\Multi{\fpeval{#2*#3*#4*#5}}%
-                  \xintifboolexpr{\Multi=0}{%
+                  \xintifboolexpr{\Multi==0}{%
                     \xdef\Multij{\fpeval{#2*#3}}%\relax
-                    \xintifboolexpr{\Multij=0}{\xintifboolexpr{#2=0}{\DrawArrowSimple{1}}{\DrawArrowSimple{0}}}{\xintifboolexpr{#4=0}{\DrawArrowSimpleRenverse{3}}{\DrawArrowSimpleRenverse{2}}}%
+                    \xintifboolexpr{\Multij==0}{\xintifboolexpr{#2==0}{\DrawArrowSimple{1}}{\DrawArrowSimple{0}}}{\xintifboolexpr{#4==0}{\DrawArrowSimpleRenverse{3}}{\DrawArrowSimpleRenverse{2}}}%
                   }{%
                     \DrawArrow%
                   }%
                 }{}\setcounter{NbDistri}{0}%
               }{}
               % Etape 2
-              \xintifboolexpr{\useKV[ClesDistributivite]{Etape}=2}{%
+              \xintifboolexpr{\useKV[ClesDistributivite]{Etape}==2}{%
                 \xdef\Multi{\fpeval{#2*#4}}%
-                \xintifboolexpr{\Multi=0}{}{%
+                \xintifboolexpr{\Multi==0}{}{%
                   \xintifboolexpr{#2<0}{(}{}\Affichage[#1]{0}{#2}{0}\xintifboolexpr{#2<0}{)}{}\times\xintifboolexpr{#4<0}{(}{}\Affichage[#1]{0}{#4}{0}\xintifboolexpr{#4<0}{)}{}%
                 }
                 \xdef\Multij{\fpeval{#2*#5}}%
-                \xintifboolexpr{\Multij=0}{}{%
-                  \xintifboolexpr{\Multi=0}{}{+}%
+                \xintifboolexpr{\Multij==0}{}{%
+                  \xintifboolexpr{\Multi==0}{}{+}%
                   \xintifboolexpr{#2<0}{(}{}\Affichage[#1]{0}{#2}{0}\xintifboolexpr{#2<0}{)}{}\times\xintifboolexpr{#5<0}{(}{}\Affichage[#1]{0}{0}{#5}\xintifboolexpr{#5<0}{)}{}%
                 }%
                 \xdef\Multik{\fpeval{#3*#4}}%
-                \xintifboolexpr{\Multik=0}{}{%
-                  \xintifboolexpr{\Multi=0}{}{+}%
+                \xintifboolexpr{\Multik==0}{}{%
+                  \xintifboolexpr{\Multi==0}{}{+}%
                   \xintifboolexpr{#3<0}{(}{}\Affichage[#1]{0}{0}{#3}\xintifboolexpr{#3<0}{)}{}\times\xintifboolexpr{#4<0}{(}{}\Affichage[#1]{0}{#4}{0}\xintifboolexpr{#4<0}{)}{}%
                 }%
                 \xdef\Multil{\fpeval{#3*#5}}%
-                \xintifboolexpr{\Multil=0}{}{+%
+                \xintifboolexpr{\Multil==0}{}{+%
                   \xintifboolexpr{#3<0}{(}{}\Affichage[#1]{0}{0}{#3}\xintifboolexpr{#3<0}{)}{}\times\xintifboolexpr{#5<0}{(}{}\Affichage[#1]{0}{0}{#5}\xintifboolexpr{#5<0}{)}{}%
                 }%
               }{}%
               % Etape 3
-              \xintifboolexpr{\useKV[ClesDistributivite]{Etape}=3}{%
+              \xintifboolexpr{\useKV[ClesDistributivite]{Etape}==3}{%
                 \stepcounter{NbCalculDistri}%
                 \xdef\Multi{\fpeval{#2*#4}}%
                 \xdef\Multij{\fpeval{#2*#5}}%
@@ -3716,17 +3716,17 @@
                 %% expressions \`a d\'evelopper
                 \xintifboolexpr{\theNbCalculDistri>1}{\xintifboolexpr{\Multi<0}{(\Affichage{\Multi}{0}{0})}{\Affichage{\Multi}{0}{0}}}{\Affichage{\Multi}{0}{0}}%
                 \ifboolKV[ClesDistributivite]{Reduction}{\mathunderline{DCReduction}{%
-                    \xintifboolexpr{\Multij=0}{}{\xintifboolexpr{\Multi=0}{}{{}+}\xintifboolexpr{\Multij<0}{(}{}\Affichage{0}{\Multij}{0}\xintifboolexpr{\Multij<0}{)}{}}%
-                    \xintifboolexpr{\Multik=0}{}{\xintifboolexpr{\Multil=0}{\xintifboolexpr{#2=0}{}{+}}{+}\xintifboolexpr{\Multik<0}{(}{}\Affichage{0}{\Multik}{0}\xintifboolexpr{\Multik<0}{)}{}}%
+                    \xintifboolexpr{\Multij==0}{}{\xintifboolexpr{\Multi==0}{}{{}+}\xintifboolexpr{\Multij<0}{(}{}\Affichage{0}{\Multij}{0}\xintifboolexpr{\Multij<0}{)}{}}%
+                    \xintifboolexpr{\Multik==0}{}{\xintifboolexpr{\Multil==0}{\xintifboolexpr{#2==0}{}{+}}{+}\xintifboolexpr{\Multik<0}{(}{}\Affichage{0}{\Multik}{0}\xintifboolexpr{\Multik<0}{)}{}}%
                   }%
                 }{%
-                  \xintifboolexpr{\Multij=0}{}{\xintifboolexpr{\Multi=0}{}{+}\xintifboolexpr{\Multij<0}{(}{}\Affichage{0}{\Multij}{0}\xintifboolexpr{\Multij<0}{)}{}}%
-                  \xintifboolexpr{\Multik=0}{}{\xintifboolexpr{\Multil=0}{\xintifboolexpr{#2=0}{}{+}}{\xintifboolexpr{#2=0}{}{+}}\xintifboolexpr{\Multik<0}{(}{}\Affichage{0}{\Multik}{0}\xintifboolexpr{\Multik<0}{)}{}}%
+                  \xintifboolexpr{\Multij==0}{}{\xintifboolexpr{\Multi==0}{}{+}\xintifboolexpr{\Multij<0}{(}{}\Affichage{0}{\Multij}{0}\xintifboolexpr{\Multij<0}{)}{}}%
+                  \xintifboolexpr{\Multik==0}{}{\xintifboolexpr{\Multil==0}{\xintifboolexpr{#2==0}{}{+}}{\xintifboolexpr{#2==0}{}{+}}\xintifboolexpr{\Multik<0}{(}{}\Affichage{0}{\Multik}{0}\xintifboolexpr{\Multik<0}{)}{}}%
                 }%
-                \xintifboolexpr{\Multil=0}{}{+}\xintifboolexpr{\Multil<0}{(}{}\Affichage{0}{0}{\Multil}\xintifboolexpr{\Multil<0}{)}{}%
+                \xintifboolexpr{\Multil==0}{}{+}\xintifboolexpr{\Multil<0}{(}{}\Affichage{0}{0}{\Multil}\xintifboolexpr{\Multil<0}{)}{}%
               }{}%
               % Etape 4
-              \xintifboolexpr{\useKV[ClesDistributivite]{Etape}=4}{%
+              \xintifboolexpr{\useKV[ClesDistributivite]{Etape}==4}{%
                 \xdef\Multi{\fpeval{#2*#4}}%
                 \xdef\Multij{\fpeval{#2*#5}}%
                 \xdef\Multik{\fpeval{#3*#4}}%
@@ -3740,15 +3740,15 @@
                   \xdef\Multi{\fpeval{-\Multi}}%
                   \xdef\Multim{\fpeval{-\Multim}}%
                   \xdef\Multil{\fpeval{-\Multil}}%
-                  \xintifboolexpr{\Multi=0}{}{\xintifboolexpr{\Multi<0}{(}{}\Affichage{\Multi}{0}{0}\xintifboolexpr{\Multi<0}{)}{}}%
-                  \xintifboolexpr{\Multim=0}{}{\xintifboolexpr{\Multim>0}{+}{+(}\Affichage{0}{\Multim}{0}\xintifboolexpr{\Multim<0}{)}{}}%
-                  \xintifboolexpr{\Multil=0}{}{\xintifboolexpr{\Multil>0}{+}{+(}\Affichage{0}{0}{\Multil}\xintifboolexpr{\Multil<0}{)}{}}%
+                  \xintifboolexpr{\Multi==0}{}{\xintifboolexpr{\Multi<0}{(}{}\Affichage{\Multi}{0}{0}\xintifboolexpr{\Multi<0}{)}{}}%
+                  \xintifboolexpr{\Multim==0}{}{\xintifboolexpr{\Multim>0}{+}{+(}\Affichage{0}{\Multim}{0}\xintifboolexpr{\Multim<0}{)}{}}%
+                  \xintifboolexpr{\Multil==0}{}{\xintifboolexpr{\Multil>0}{+}{+(}\Affichage{0}{0}{\Multil}\xintifboolexpr{\Multil<0}{)}{}}%
                 }{%
                   \xintifboolexpr{\theNbCalculDistri>1}{\xintifboolexpr{\Multi<0}{(\Affichage{\Multi}{0}{0})}{\Affichage{\Multi}{0}{0}}}{\Affichage{\Multi}{0}{0}}%
-                  \xintifboolexpr{\Multim=0}{}{%
+                  \xintifboolexpr{\Multim==0}{}{%
                     \xintifboolexpr{\Multim>0}{+\Affichage{0}{\Multim}{0}}{-\Affichage{0}{\fpeval{-\Multim}}{0}}%
                   }%
-                  \xintifboolexpr{\Multil=0}{}{\xintifboolexpr{\Multil<0}{-\Affichage{0}{0}{\fpeval{-\Multil}}}{+\Affichage{0}{0}{\Multil}}}%
+                  \xintifboolexpr{\Multil==0}{}{\xintifboolexpr{\Multil<0}{-\Affichage{0}{0}{\fpeval{-\Multil}}}{+\Affichage{0}{0}{\Multil}}}%
                 }
                 \ifboolKV[ClesDistributivite]{Somme}{\xdef\SommeA{\fpeval{\SommeA+#2*#4}}\xdef\SommeB{\fpeval{\SommeB+#2*#5+#3*#4}}\xdef\SommeC{\fpeval{\SommeC+#3*#5}}}{}%
                 \ifboolKV[ClesDistributivite]{Difference}{\xdef\SommeA{\fpeval{\SommeA-#2*#4}}\xdef\SommeB{\fpeval{\SommeB-#2*#5-#3*#4}}\xdef\SommeC{\fpeval{\SommeC-#3*#5}}}{}%
@@ -3773,14 +3773,14 @@
   \def\LETTRE{\useKV[ClesDistributivite]{Lettre}}%
   \ensuremath{%
     % partie du nombre
-    \xintifboolexpr{#2=0}{}{\num{#2}}%
+    \xintifboolexpr{#2==0}{}{\num{#2}}%
     % partie du x
-    \xintifboolexpr{#3=0}{}{\xintifboolexpr{#3>0}{\xintifboolexpr{#2=0}{}{+}\xintifboolexpr{#3=1}{}{\num{#3}}}{%
-        \xintifboolexpr{#2=0}{\xintifboolexpr{#3=-1}{-}{\num{#3}}}{\xintifboolexpr{#3=-1}{-}{-\num{\fpeval{abs(#3)}}}}
+    \xintifboolexpr{#3==0}{}{\xintifboolexpr{#3>0}{\xintifboolexpr{#2==0}{}{+}\xintifboolexpr{#3==1}{}{\num{#3}}}{%
+        \xintifboolexpr{#2==0}{\xintifboolexpr{#3==-1}{-}{\num{#3}}}{\xintifboolexpr{#3==-1}{-}{-\num{\fpeval{abs(#3)}}}}
       }\LETTRE}%
     % partie du x^2
-    \xintifboolexpr{#4=0}{}{\xintifboolexpr{#4>0}{\xintifboolexpr{#2=0}{\xintifboolexpr{#3=0}{}{+}}{+}\xintifboolexpr{#4=1}{}{\num{#4}}}{%
-        \xintifboolexpr{#2=0}{\xintifboolexpr{#3=0}{\num{#4}}{-\num{\fpeval{abs(#4)}}}}{-\num{\fpeval{abs(#4)}}}}\LETTRE^2}%
+    \xintifboolexpr{#4==0}{}{\xintifboolexpr{#4>0}{\xintifboolexpr{#2==0}{\xintifboolexpr{#3==0}{}{+}}{+}\xintifboolexpr{#4==1}{}{\num{#4}}}{%
+        \xintifboolexpr{#2==0}{\xintifboolexpr{#3==0}{\num{#4}}{-\num{\fpeval{abs(#4)}}}}{-\num{\fpeval{abs(#4)}}}}\LETTRE^2}%
   }%
 }%
 
@@ -3796,20 +3796,20 @@
     \colorlet{DCFlechesh}{\useKV[ClesDistributivite]{CouleurFH}}%
     \colorlet{DCFlechesb}{\useKV[ClesDistributivite]{CouleurFB}}%
     \ifboolKV[ClesDistributivite]{Remarquable}{%
-      \xintifboolexpr{\useKV[ClesDistributivite]{Etape}=1}{\ifx\bla#4\bla(\AffichageEchange{#2}{#3}{0})^2\else(\AffichageEchange{#2}{#3}{0})(\AffichageEchange{#4}{#5}{0})\fi
+      \xintifboolexpr{\useKV[ClesDistributivite]{Etape}==1}{\ifx\bla#4\bla(\AffichageEchange{#2}{#3}{0})^2\else(\AffichageEchange{#2}{#3}{0})(\AffichageEchange{#4}{#5}{0})\fi
       }{}
-      \xintifboolexpr{\useKV[ClesDistributivite]{Etape}=2}{%
+      \xintifboolexpr{\useKV[ClesDistributivite]{Etape}==2}{%
         \ifx\bla#4\bla\xintifboolexpr{#3>0}{%
-          \num{#2}^2+2\times\num{#2}\times\xintifboolexpr{#3=1}{}{\num{#3}}\useKV[ClesDistributivite]{Lettre}+
-          \xintifboolexpr{#3=1}{}{(\num{#3}}\useKV[ClesDistributivite]{Lettre}\xintifboolexpr{#3=1}{}{)}^2%
+          \num{#2}^2+2\times\num{#2}\times\xintifboolexpr{#3==1}{}{\num{#3}}\useKV[ClesDistributivite]{Lettre}+
+          \xintifboolexpr{#3==1}{}{(\num{#3}}\useKV[ClesDistributivite]{Lettre}\xintifboolexpr{#3==1}{}{)}^2%
         }{%
-          \num{#2}^2-2\times\num{#2}\times\xintifboolexpr{#3=-1}{}{\num{\fpeval{0-#3}}}\useKV[ClesDistributivite]{Lettre}+
-          \xintifboolexpr{#3=-1}{}{(\num{\fpeval{0-#3}}}\useKV[ClesDistributivite]{Lettre}\xintifboolexpr{#3=-1}{}{)}^2%
+          \num{#2}^2-2\times\num{#2}\times\xintifboolexpr{#3==-1}{}{\num{\fpeval{0-#3}}}\useKV[ClesDistributivite]{Lettre}+
+          \xintifboolexpr{#3==-1}{}{(\num{\fpeval{0-#3}}}\useKV[ClesDistributivite]{Lettre}\xintifboolexpr{#3==-1}{}{)}^2%
         }%
-        \else\num{#2}^2-\xintifboolexpr{#3=1}{}{(\num{#3}}\useKV[ClesDistributivite]{Lettre}\xintifboolexpr{#3=1}{}{)}^2%
+        \else\num{#2}^2-\xintifboolexpr{#3==1}{}{(\num{#3}}\useKV[ClesDistributivite]{Lettre}\xintifboolexpr{#3==1}{}{)}^2%
         \fi%
       }{}
-      \xintifboolexpr{\useKV[ClesDistributivite]{Etape}=3}{%
+      \xintifboolexpr{\useKV[ClesDistributivite]{Etape}==3}{%
         \xintifboolexpr{\theNbCalculDistri>1}{\setcounter{NbCalculDistri}{0}}{}%
         \stepcounter{NbCalculDistri}%
         \ifx\bla#4\bla%
@@ -3824,9 +3824,9 @@
           \xdef\Multi{\fpeval{-\Multi}}%
           \xdef\Multim{\fpeval{-\Multim}}%
           \xdef\Multil{\fpeval{-\Multil}}%
-          \xintifboolexpr{\Multi=0}{}{\xintifboolexpr{\Multi<0}{(}{}\AffichageEchange{\Multi}{0}{0}\xintifboolexpr{\Multi<0}{)}{}}%
-          \xintifboolexpr{\Multim=0}{}{\xintifboolexpr{\Multim>0}{+}{+(}\AffichageEchange{0}{\Multim}{0}\xintifboolexpr{\Multim<0}{)}{}}%
-          \xintifboolexpr{\Multil=0}{}{\xintifboolexpr{\Multil>0}{+}{+(}\AffichageEchange{0}{0}{\Multil}\xintifboolexpr{\Multil<0}{)}{}}%
+          \xintifboolexpr{\Multi==0}{}{\xintifboolexpr{\Multi<0}{(}{}\AffichageEchange{\Multi}{0}{0}\xintifboolexpr{\Multi<0}{)}{}}%
+          \xintifboolexpr{\Multim==0}{}{\xintifboolexpr{\Multim>0}{+}{+(}\AffichageEchange{0}{\Multim}{0}\xintifboolexpr{\Multim<0}{)}{}}%
+          \xintifboolexpr{\Multil==0}{}{\xintifboolexpr{\Multil>0}{+}{+(}\AffichageEchange{0}{0}{\Multil}\xintifboolexpr{\Multil<0}{)}{}}%
         }{%
           \AffichageEchange{\Multi}{\Multim}{\Multil}%
         }
@@ -3844,9 +3844,9 @@
           \xdef\Multi{\fpeval{-\Multi}}%
           \xdef\Multim{\fpeval{-\Multim}}%
           \xdef\Multil{\fpeval{-\Multil}}%
-          \xintifboolexpr{\Multi=0}{}{\xintifboolexpr{\Multi<0}{(}{}\AffichageEchange{\Multi}{0}{0}\xintifboolexpr{\Multi<0}{)}{}}%
-          \xintifboolexpr{\Multim=0}{}{\xintifboolexpr{\Multim>0}{+}{+(}\AffichageEchange{0}{\Multim}{0}\xintifboolexpr{\Multim<0}{)}{}}%
-          \xintifboolexpr{\Multil=0}{}{\xintifboolexpr{\Multil>0}{+}{+(}\AffichageEchange{0}{0}{\Multil}\xintifboolexpr{\Multil<0}{)}{}}%
+          \xintifboolexpr{\Multi==0}{}{\xintifboolexpr{\Multi<0}{(}{}\AffichageEchange{\Multi}{0}{0}\xintifboolexpr{\Multi<0}{)}{}}%
+          \xintifboolexpr{\Multim==0}{}{\xintifboolexpr{\Multim>0}{+}{+(}\AffichageEchange{0}{\Multim}{0}\xintifboolexpr{\Multim<0}{)}{}}%
+          \xintifboolexpr{\Multil==0}{}{\xintifboolexpr{\Multil>0}{+}{+(}\AffichageEchange{0}{0}{\Multil}\xintifboolexpr{\Multil<0}{)}{}}%
         }{%
           \AffichageEchange{\Multi}{\Multim}{\Multil}%
         }
@@ -3858,19 +3858,6 @@
       }{}%
     }{%
       \ifboolKV[ClesDistributivite]{Numerique}{%
-        % \xintifboolexpr{\useKV[ClesDistributivite]{Etape}=0}{%
-        % \num{\fpeval{#2+#3}}\times\num{\fpeval{#4+#5}}\multido{\i=2+1}{4}{=\Distri[Numerique,Etape=\i]{#2}{#3}{#4}{#5}}%
-        % }{%
-        %   \xintifboolexpr{\useKV[ClesDistributivite]{Etape}=-1}{%
-        %   \Distri[Numerique,Etape=3]{#2}{#3}{#4}{#5}\multido{\i=2+-1}{2}{=\Distri[Numerique,Etape=\i]{#2}{#3}{#4}{#5}}=\num{\fpeval{(#2+#3)*(#4+#5)}}%
-        % }{%
-        %   \xintifboolexpr{\useKV[ClesDistributivite]{Etape}=1}{\num{\fpeval{#2+#3}}\times\num{\fpeval{#4+#5}}}{}%
-        %   \xintifboolexpr{\useKV[ClesDistributivite]{Etape}=2}{\num{\fpeval{#2+#3}}\times(\num{#4}\xintifboolexpr{#5>0}{+}{-}\num{\fpeval{abs(#5)}})}{}%
-        %   \xintifboolexpr{\useKV[ClesDistributivite]{Etape}=3}{\num{#3}\times\num{#4}\xintifboolexpr{#5>0}{+}{-}\num{#3}\times\num{\fpeval{abs(#5)}}}{}%
-        %   \xintifboolexpr{\useKV[ClesDistributivite]{Etape}=4}{\num{\fpeval{#3*#4}}\xintifboolexpr{#5>0}{+}{-}\num{\fpeval{abs(#3*#5)}}}{}%
-        %   \xintifboolexpr{\useKV[ClesDistributivite]{Etape}=5}{\num{\fpeval{#3*#4+#3*#5}}}{}%
-        % }%
-        % }%
       }{%
         \ifboolKV[ClesDistributivite]{All}{%
            \xdef\NomLettre{\useKV[ClesDistributivite]{NomExpression}}%
@@ -3881,126 +3868,126 @@
            \NomLettre&=\DistriEchange[Echange=\ValeurEchange,Etape=\NomFin]{#2}{#3}{#4}{#5}%
         }{%
           % Etape 1
-          \xintifboolexpr{\useKV[ClesDistributivite]{Etape}=1}{%
-            \xintifboolexpr{\useKV[ClesDistributivite]{Echange}=1||\useKV[ClesDistributivite]{Echange}=3}{%
-              \xintifboolexpr{#2=0}{%
-              }{\xintifboolexpr{#3=0}{%
+          \xintifboolexpr{\useKV[ClesDistributivite]{Etape}==1}{%
+            \xintifboolexpr{\useKV[ClesDistributivite]{Echange}==1||\useKV[ClesDistributivite]{Echange}==3}{%
+              \xintifboolexpr{#2==0}{%
+              }{\xintifboolexpr{#3==0}{%
                 }{(}}\Tikzmark{\Affichage[#1]{0}{0}{#2}}%
               \ifboolKV[ClesDistributivite]{AideAdda}{\mathcolor{DCAide}{+(}}{}%
-              \xintifboolexpr{#3>0}{\xintifboolexpr{#2=0}{}{+}}{\xintifboolexpr{#3<0}{-}{}}\Tikzmark{\Affichage[#1]{0}{\fpeval{abs(#3)}}{0}}%
+              \xintifboolexpr{#3>0}{\xintifboolexpr{#2==0}{}{+}}{\xintifboolexpr{#3<0}{-}{}}\Tikzmark{\Affichage[#1]{0}{\fpeval{abs(#3)}}{0}}%
               \ifboolKV[ClesDistributivite]{AideAdda}{\mathcolor{DCAide}{)}}{}%
-              \xintifboolexpr{#2=0}{%
-              }{\xintifboolexpr{#3=0}{%
+              \xintifboolexpr{#2==0}{%
+              }{\xintifboolexpr{#3==0}{%
                 }{)}}%
             }{
-              \xintifboolexpr{#2=0}{%
-              }{\xintifboolexpr{#3=0}{%
+              \xintifboolexpr{#2==0}{%
+              }{\xintifboolexpr{#3==0}{%
                 }{(}}\Tikzmark{\Affichage[#1]{0}{#2}{0}}%
               \ifboolKV[ClesDistributivite]{AideAdda}{\mathcolor{DCAide}{+(}}{}%
-              \xintifboolexpr{#3>0}{\xintifboolexpr{#2=0}{}{+}}{\xintifboolexpr{#3<0}{-}{}}\Tikzmark{\Affichage[#1]{0}{0}{\fpeval{abs(#3)}}}%
+              \xintifboolexpr{#3>0}{\xintifboolexpr{#2==0}{}{+}}{\xintifboolexpr{#3<0}{-}{}}\Tikzmark{\Affichage[#1]{0}{0}{\fpeval{abs(#3)}}}%
               \ifboolKV[ClesDistributivite]{AideAdda}{\mathcolor{DCAide}{)}}{}%
-              \xintifboolexpr{#2=0}{%
-              }{\xintifboolexpr{#3=0}{%
+              \xintifboolexpr{#2==0}{%
+              }{\xintifboolexpr{#3==0}{%
                 }{)}}%
             }%
             % 
             \ifboolKV[ClesDistributivite]{AideMul}{\times}{}%on aide dans le cas double
             \xdef\Multi{\fpeval{#4*#5}}%affichage auto si (a+b)xk
             % 
-            \xintifboolexpr{\useKV[ClesDistributivite]{Echange}=2||\useKV[ClesDistributivite]{Echange}=3}{%
-              \xintifboolexpr{\Multi=0}{\times%
+            \xintifboolexpr{\useKV[ClesDistributivite]{Echange}==2||\useKV[ClesDistributivite]{Echange}==3}{%
+              \xintifboolexpr{\Multi==0}{\times%
                 \xintifboolexpr{#4<0}{(}{\xintifboolexpr{#5<0}{(}{}}}{(}%
               \Tikzmark{\AffichageEchange[#1]{#4}{0}{0}}%
               \ifboolKV[ClesDistributivite]{AideAddb}{\mathcolor{DCAide}{+(}}{}%
-              \xintifboolexpr{#5>0}{\xintifboolexpr{#4=0}{}{+}}{\xintifboolexpr{#5<0}{-}{}}\Tikzmark{\AffichageEchange[#1]{0}{\fpeval{abs(#5)}}{0}}%
+              \xintifboolexpr{#5>0}{\xintifboolexpr{#4==0}{}{+}}{\xintifboolexpr{#5<0}{-}{}}\Tikzmark{\AffichageEchange[#1]{0}{\fpeval{abs(#5)}}{0}}%
               \ifboolKV[ClesDistributivite]{AideAddb}{\mathcolor{DCAide}{)}}{}%
-              \xintifboolexpr{\Multi=0}{%
+              \xintifboolexpr{\Multi==0}{%
                 \xintifboolexpr{#4<0}{)}{\xintifboolexpr{#5<0}{)}{}}}{)}%
             }{%
-              \xintifboolexpr{\Multi=0}{\times%
+              \xintifboolexpr{\Multi==0}{\times%
                 \xintifboolexpr{#4<0}{(}{\xintifboolexpr{#5<0}{(}{}}}{(}%
               \Tikzmark{\Affichage[#1]{0}{#4}{0}}%
               \ifboolKV[ClesDistributivite]{AideAddb}{\mathcolor{DCAide}{+(}}{}%
-              \xintifboolexpr{#5>0}{\xintifboolexpr{#4=0}{}{+}}{\xintifboolexpr{#5<0}{\xintifboolexpr{#4=0}{{-}}{-}}{}}\Tikzmark{\Affichage[#1]{0}{0}{\fpeval{abs(#5)}}}%
+              \xintifboolexpr{#5>0}{\xintifboolexpr{#4==0}{}{+}}{\xintifboolexpr{#5<0}{\xintifboolexpr{#4==0}{{-}}{-}}{}}\Tikzmark{\Affichage[#1]{0}{0}{\fpeval{abs(#5)}}}%
               \ifboolKV[ClesDistributivite]{AideAddb}{\mathcolor{DCAide}{)}}{}%
-              \xintifboolexpr{\Multi=0}{%
+              \xintifboolexpr{\Multi==0}{%
                 \xintifboolexpr{#4<0}{)}{\xintifboolexpr{#5<0}{)}{}}}{)}%
             }%
              \ifboolKV[ClesDistributivite]{Fleches}{%
              \xdef\Multi{\fpeval{#2*#3*#4*#5}}%
-             \xintifboolexpr{\Multi=0}{%
+             \xintifboolexpr{\Multi==0}{%
              \xdef\Multij{\fpeval{#2*#3}}%\relax
-             \xintifboolexpr{\Multij=0}{\xintifboolexpr{#2=0}{\DrawArrowSimple{1}}{\DrawArrowSimple{0}}}{\xintifboolexpr{#4=0}{\DrawArrowSimpleRenverse{3}}{\DrawArrowSimpleRenverse{2}}}
+             \xintifboolexpr{\Multij==0}{\xintifboolexpr{#2==0}{\DrawArrowSimple{1}}{\DrawArrowSimple{0}}}{\xintifboolexpr{#4==0}{\DrawArrowSimpleRenverse{3}}{\DrawArrowSimpleRenverse{2}}}
              }{%
                \DrawArrow
              }%
              }{}\setcounter{NbDistri}{0}%
           }{}%
           % Etape 2
-          \xintifboolexpr{\useKV[ClesDistributivite]{Etape}=2}{%
-            \xintifboolexpr{\useKV[ClesDistributivite]{Echange}=1}{%
+          \xintifboolexpr{\useKV[ClesDistributivite]{Etape}==2}{%
+            \xintifboolexpr{\useKV[ClesDistributivite]{Echange}==1}{%
               \xdef\Multi{\fpeval{#2*#4}}%
-              \xintifboolexpr{\Multi=0}{}{%
+              \xintifboolexpr{\Multi==0}{}{%
                 \xintifboolexpr{#2<0}{(}{}\AffichageEchange[#1]{#2}{0}{0}\xintifboolexpr{#2<0}{)}{}\times\xintifboolexpr{#4<0}{(}{}\Affichage[#1]{0}{#4}{0}\xintifboolexpr{#4<0}{)}{}%
               }%
               \xdef\Multij{\fpeval{#2*#5}}%
-              \xintifboolexpr{\Multij=0}{}{%
-                \xintifboolexpr{\Multi=0}{}{+}%
+              \xintifboolexpr{\Multij==0}{}{%
+                \xintifboolexpr{\Multi==0}{}{+}%
                 \xintifboolexpr{#2<0}{(}{}\AffichageEchange[#1]{#2}{0}{0}\xintifboolexpr{#2<0}{)}{}\times\xintifboolexpr{#5<0}{(}{}\Affichage[#1]{0}{0}{#5}\xintifboolexpr{#5<0}{)}{}%
               }%
               \xdef\Multik{\fpeval{#3*#4}}%
-              \xintifboolexpr{\Multik=0}{}{%
-                \xintifboolexpr{\Multi=0}{}{+}%
+              \xintifboolexpr{\Multik==0}{}{%
+                \xintifboolexpr{\Multi==0}{}{+}%
                 \xintifboolexpr{#3<0}{(}{}\AffichageEchange[#1]{0}{#3}{0}\xintifboolexpr{#3<0}{)}{}\times\xintifboolexpr{#4<0}{(}{}\Affichage[#1]{0}{#4}{0}\xintifboolexpr{#4<0}{)}{}%
               }%
               \xdef\Multil{\fpeval{#3*#5}}%
-              \xintifboolexpr{\Multil=0}{}{+%
+              \xintifboolexpr{\Multil==0}{}{+%
                 \xintifboolexpr{#3<0}{(}{}\AffichageEchange[#1]{0}{#3}{0}\xintifboolexpr{#3<0}{)}{}\times\xintifboolexpr{#5<0}{(}{}\Affichage[#1]{0}{0}{#5}\xintifboolexpr{#5<0}{)}{}%
               }%
             }{}%
-            \xintifboolexpr{\useKV[ClesDistributivite]{Echange}=2}{%
+            \xintifboolexpr{\useKV[ClesDistributivite]{Echange}==2}{%
               \xdef\Multi{\fpeval{#2*#4}}%
-              \xintifboolexpr{\Multi=0}{}{%
+              \xintifboolexpr{\Multi==0}{}{%
                 \xintifboolexpr{#2<0}{(}{}\Affichage[#1]{0}{#2}{0}\xintifboolexpr{#2<0}{)}{}\times\xintifboolexpr{#4<0}{(}{}\AffichageEchange[#1]{#4}{0}{0}\xintifboolexpr{#4<0}{)}{}%
               }%
               \xdef\Multij{\fpeval{#2*#5}}%
-              \xintifboolexpr{\Multij=0}{}{%
-                \xintifboolexpr{\Multi=0}{}{+}%
+              \xintifboolexpr{\Multij==0}{}{%
+                \xintifboolexpr{\Multi==0}{}{+}%
                 \xintifboolexpr{#2<0}{(}{}\Affichage[#1]{0}{#2}{0}\xintifboolexpr{#2<0}{)}{}\times\xintifboolexpr{#5<0}{(}{}\AffichageEchange[#1]{0}{#5}{0}\xintifboolexpr{#5<0}{)}{}%
               }%
               \xdef\Multik{\fpeval{#3*#4}}%
-              \xintifboolexpr{\Multik=0}{}{%
-                \xintifboolexpr{\Multi=0}{}{+}%
+              \xintifboolexpr{\Multik==0}{}{%
+                \xintifboolexpr{\Multi==0}{}{+}%
                 \xintifboolexpr{#3<0}{(}{}\Affichage[#1]{0}{0}{#3}\xintifboolexpr{#3<0}{)}{}\times\xintifboolexpr{#4<0}{(}{}\AffichageEchange[#1]{#4}{0}{0}\xintifboolexpr{#4<0}{)}{}%
               }%
               \xdef\Multil{\fpeval{#3*#5}}%
-              \xintifboolexpr{\Multil=0}{}{+%
+              \xintifboolexpr{\Multil==0}{}{+%
                 \xintifboolexpr{#3<0}{(}{}\Affichage[#1]{0}{0}{#3}\xintifboolexpr{#3<0}{)}{}\times\xintifboolexpr{#5<0}{(}{}\AffichageEchange[#1]{0}{#5}{0}\xintifboolexpr{#5<0}{)}{}%
               }%
             }{}%
-            \xintifboolexpr{\useKV[ClesDistributivite]{Echange}=3}{%
+            \xintifboolexpr{\useKV[ClesDistributivite]{Echange}==3}{%
               \xdef\Multi{\fpeval{#2*#4}}%
-              \xintifboolexpr{\Multi=0}{}{%
+              \xintifboolexpr{\Multi==0}{}{%
                 \xintifboolexpr{#2<0}{(}{}\AffichageEchange[#1]{#2}{0}{0}\xintifboolexpr{#2<0}{)}{}\times\xintifboolexpr{#4<0}{(}{}\AffichageEchange[#1]{#4}{0}{0}\xintifboolexpr{#4<0}{)}{}%
               }%
               \xdef\Multij{\fpeval{#2*#5}}%
-              \xintifboolexpr{\Multij=0}{}{%
-                \xintifboolexpr{\Multi=0}{}{+}%
+              \xintifboolexpr{\Multij==0}{}{%
+                \xintifboolexpr{\Multi==0}{}{+}%
                 \xintifboolexpr{#2<0}{(}{}\AffichageEchange[#1]{#2}{0}{0}\xintifboolexpr{#2<0}{)}{}\times\xintifboolexpr{#5<0}{(}{}\AffichageEchange[#1]{0}{#5}{0}\xintifboolexpr{#5<0}{)}{}%
               }%
               \xdef\Multik{\fpeval{#3*#4}}%
-              \xintifboolexpr{\Multik=0}{}{%
-                \xintifboolexpr{\Multi=0}{}{+}%
+              \xintifboolexpr{\Multik==0}{}{%
+                \xintifboolexpr{\Multi==0}{}{+}%
                 \xintifboolexpr{#3<0}{(}{}\AffichageEchange[#1]{0}{#3}{0}\xintifboolexpr{#3<0}{)}{}\times\xintifboolexpr{#4<0}{(}{}\AffichageEchange[#1]{#4}{0}{0}\xintifboolexpr{#4<0}{)}{}%
               }%
               \xdef\Multil{\fpeval{#3*#5}}%
-              \xintifboolexpr{\Multil=0}{}{+%
+              \xintifboolexpr{\Multil==0}{}{+%
                 \xintifboolexpr{#3<0}{(}{}\AffichageEchange[#1]{0}{#3}{0}\xintifboolexpr{#3<0}{)}{}\times\xintifboolexpr{#5<0}{(}{}\AffichageEchange[#1]{0}{#5}{0}\xintifboolexpr{#5<0}{)}{}%
               }%
             }{}
           }{}          
           % Etape 3
-          \xintifboolexpr{\useKV[ClesDistributivite]{Etape}=3}{%
+          \xintifboolexpr{\useKV[ClesDistributivite]{Etape}==3}{%
             \stepcounter{NbCalculDistri}%
             \xdef\Multi{\fpeval{#2*#4}}%
             \xdef\Multij{\fpeval{#2*#5}}%
@@ -4008,36 +3995,36 @@
             \xdef\Multil{\fpeval{#3*#5}}%
             %% ils sont red\'efinis pour pouvoir envisager la somme de deux
             %% expressions \`a d\'evelopper
-            \xintifboolexpr{\useKV[ClesDistributivite]{Echange}=1}{%
+            \xintifboolexpr{\useKV[ClesDistributivite]{Echange}==1}{%
             \xintifboolexpr{\theNbCalculDistri>1}{\xintifboolexpr{\Multi<0}{(\AffichageEchange{0}{\Multi}{0})}{\AffichageEchange{0}{\Multi}{0}}}{\AffichageEchange{0}{\Multi}{0}}%
-              \xintifboolexpr{\Multij=0}{}{\xintifboolexpr{\Multi=0}{}{+}\xintifboolexpr{\Multij<0}{(}{}\AffichageEchange{\Multij}{0}{0}\xintifboolexpr{\Multij<0}{)}{}}%
-              \xintifboolexpr{\Multik=0}{}{\xintifboolexpr{\Multil=0}{\xintifboolexpr{#2=0}{}{+}}{+}\xintifboolexpr{\Multik<0}{(}{}\AffichageEchange{0}{0}{\Multik}\xintifboolexpr{\Multik<0}{)}{}}%
-              \xintifboolexpr{\Multil=0}{}{+}\xintifboolexpr{\Multil<0}{(}{}\AffichageEchange{0}{\Multil}{0}\xintifboolexpr{\Multil<0}{)}{}%
+              \xintifboolexpr{\Multij==0}{}{\xintifboolexpr{\Multi==0}{}{+}\xintifboolexpr{\Multij<0}{(}{}\AffichageEchange{\Multij}{0}{0}\xintifboolexpr{\Multij<0}{)}{}}%
+              \xintifboolexpr{\Multik==0}{}{\xintifboolexpr{\Multil==0}{\xintifboolexpr{#2=0}{}{+}}{+}\xintifboolexpr{\Multik<0}{(}{}\AffichageEchange{0}{0}{\Multik}\xintifboolexpr{\Multik<0}{)}{}}%
+              \xintifboolexpr{\Multil==0}{}{+}\xintifboolexpr{\Multil<0}{(}{}\AffichageEchange{0}{\Multil}{0}\xintifboolexpr{\Multil<0}{)}{}%
               \xdef\Multim{\fpeval{#2*#4+#3*#5}}%              
               \ifboolKV[ClesDistributivite]{Somme}{\xdef\SommeA{\fpeval{\SommeA+\Multik}}\xdef\SommeB{\fpeval{\SommeB+\Multim}}\xdef\SommeC{\fpeval{\SommeC+\Multij}}}{}%
               \ifboolKV[ClesDistributivite]{Difference}{\xdef\SommeA{\fpeval{\SommeA-\Multik}}\xdef\SommeB{\fpeval{\SommeB-\Multim}}\xdef\SommeC{\fpeval{\SommeC-\Multij}}}{}%              
             }{}%
-            \xintifboolexpr{\useKV[ClesDistributivite]{Echange}=2}{%
+            \xintifboolexpr{\useKV[ClesDistributivite]{Echange}==2}{%
             \xintifboolexpr{\theNbCalculDistri>1}{\xintifboolexpr{\Multi<0}{(\AffichageEchange{0}{\Multi}{0})}{\AffichageEchange{0}{\Multi}{0}}}{\AffichageEchange{0}{\Multi}{0}}%
-              \xintifboolexpr{\Multij=0}{}{\xintifboolexpr{\Multi=0}{}{+}\xintifboolexpr{\Multij<0}{(}{}\AffichageEchange{0}{0}{\Multij}\xintifboolexpr{\Multij<0}{)}{}}%
-              \xintifboolexpr{\Multik=0}{}{\xintifboolexpr{\Multil=0}{\xintifboolexpr{#2=0}{}{+}}{+}\xintifboolexpr{\Multik<0}{(}{}\AffichageEchange{\Multik}{0}{0}\xintifboolexpr{\Multik<0}{)}{}}%
-              \xintifboolexpr{\Multil=0}{}{+}\xintifboolexpr{\Multil<0}{(}{}\AffichageEchange{0}{\Multil}{0}\xintifboolexpr{\Multil<0}{)}{}%
+              \xintifboolexpr{\Multij==0}{}{\xintifboolexpr{\Multi==0}{}{+}\xintifboolexpr{\Multij<0}{(}{}\AffichageEchange{0}{0}{\Multij}\xintifboolexpr{\Multij<0}{)}{}}%
+              \xintifboolexpr{\Multik==0}{}{\xintifboolexpr{\Multil==0}{\xintifboolexpr{#2==0}{}{+}}{+}\xintifboolexpr{\Multik<0}{(}{}\AffichageEchange{\Multik}{0}{0}\xintifboolexpr{\Multik<0}{)}{}}%
+              \xintifboolexpr{\Multil==0}{}{+}\xintifboolexpr{\Multil<0}{(}{}\AffichageEchange{0}{\Multil}{0}\xintifboolexpr{\Multil<0}{)}{}%
               \xdef\Multim{\fpeval{#2*#4+#3*#5}}%
               \ifboolKV[ClesDistributivite]{Somme}{\xdef\SommeA{\fpeval{\SommeA+\Multij}}\xdef\SommeB{\fpeval{\SommeB+\Multim}}\xdef\SommeC{\fpeval{\SommeC+\Multik}}}{}%
               \ifboolKV[ClesDistributivite]{Difference}{\xdef\SommeA{\fpeval{\SommeA-\Multij}}\xdef\SommeB{\fpeval{\SommeB-\Multim}}\xdef\SommeC{\fpeval{\SommeC-\Multik}}}{}%
             }{}%
-            \xintifboolexpr{\useKV[ClesDistributivite]{Echange}=3}{%
+            \xintifboolexpr{\useKV[ClesDistributivite]{Echange}==3}{%
             \xintifboolexpr{\theNbCalculDistri>1}{\xintifboolexpr{\Multi<0}{(\AffichageEchange{\Multi}{0}{0})}{\AffichageEchange{\Multi}{0}{0}}}{\AffichageEchange{\Multi}{0}{0}}%
-              \xintifboolexpr{\Multij=0}{}{\xintifboolexpr{\Multi=0}{}{+}\xintifboolexpr{\Multij<0}{(}{}\AffichageEchange{0}{\Multij}{0}\xintifboolexpr{\Multij<0}{)}{}}%
-              \xintifboolexpr{\Multik=0}{}{\xintifboolexpr{\Multil=0}{\xintifboolexpr{#2=0}{}{+}}{+}\xintifboolexpr{\Multik<0}{(}{}\AffichageEchange{0}{\Multik}{0}\xintifboolexpr{\Multik<0}{)}{}}%
-              \xintifboolexpr{\Multil=0}{}{+}\xintifboolexpr{\Multil<0}{(}{}\AffichageEchange{0}{0}{\Multil}\xintifboolexpr{\Multil<0}{)}{}%
+              \xintifboolexpr{\Multij==0}{}{\xintifboolexpr{\Multi==0}{}{+}\xintifboolexpr{\Multij<0}{(}{}\AffichageEchange{0}{\Multij}{0}\xintifboolexpr{\Multij<0}{)}{}}%
+              \xintifboolexpr{\Multik==0}{}{\xintifboolexpr{\Multil==0}{\xintifboolexpr{#2==0}{}{+}}{+}\xintifboolexpr{\Multik<0}{(}{}\AffichageEchange{0}{\Multik}{0}\xintifboolexpr{\Multik<0}{)}{}}%
+              \xintifboolexpr{\Multil==0}{}{+}\xintifboolexpr{\Multil<0}{(}{}\AffichageEchange{0}{0}{\Multil}\xintifboolexpr{\Multil<0}{)}{}%
               \xdef\Multim{\fpeval{#2*#5+#3*#4}}%
               \ifboolKV[ClesDistributivite]{Somme}{\xdef\SommeA{\fpeval{\SommeA+\Multil}}\xdef\SommeB{\fpeval{\SommeB+\Multim}}\xdef\SommeC{\fpeval{\SommeC+\Multi}}}{}%
               \ifboolKV[ClesDistributivite]{Difference}{\xdef\SommeA{\fpeval{\SommeA-\Multil}}\xdef\SommeB{\fpeval{\SommeB-\Multim}}\xdef\SommeC{\fpeval{\SommeC-\Multi}}}{}%
             }{}%
           }{}%fin etape3
           % Etape 4
-          \xintifboolexpr{\useKV[ClesDistributivite]{Etape}=4}{%
+          \xintifboolexpr{\useKV[ClesDistributivite]{Etape}==4}{%
             \xdef\Multi{\fpeval{#2*#4}}%
             \xdef\Multij{\fpeval{#2*#5}}%
             \xdef\Multik{\fpeval{#3*#4}}%
@@ -4046,59 +4033,59 @@
             %% expressions \`a d\'evelopper
             \xintifboolexpr{\theNbCalculDistri>1}{\setcounter{NbCalculDistri}{0}}{}%
             \stepcounter{NbCalculDistri}%
-            \xintifboolexpr{\useKV[ClesDistributivite]{Echange}=1}{%
+            \xintifboolexpr{\useKV[ClesDistributivite]{Echange}==1}{%
               \xdef\Multim{\fpeval{#2*#4+#3*#5}}%
               \ifboolKV[ClesDistributivite]{Oppose}{%
                 \xdef\Multiko{\fpeval{-\Multik}}%
                 \xdef\Multimo{\fpeval{-\Multim}}%
                 \xdef\Multijo{\fpeval{-\Multij}}%
-                 \xintifboolexpr{\Multiko=0}{}{\xintifboolexpr{\Multiko<0}{(}{}\Affichage{\Multiko}{0}{0}\xintifboolexpr{\Multiko<0}{)}{}}%
-                 \xintifboolexpr{\Multimo=0}{}{\xintifboolexpr{\Multimo>0}{+}{+(}\Affichage{0}{\Multimo}{0}\xintifboolexpr{\Multimo<0}{)}{}}%
-                 \xintifboolexpr{\Multijo=0}{}{\xintifboolexpr{\Multijo>0}{+}{+(}\Affichage{0}{0}{\Multijo}\xintifboolexpr{\Multijo<0}{)}{}}%
+                 \xintifboolexpr{\Multiko==0}{}{\xintifboolexpr{\Multiko<0}{(}{}\Affichage{\Multiko}{0}{0}\xintifboolexpr{\Multiko<0}{)}{}}%
+                 \xintifboolexpr{\Multimo==0}{}{\xintifboolexpr{\Multimo>0}{+}{+(}\Affichage{0}{\Multimo}{0}\xintifboolexpr{\Multimo<0}{)}{}}%
+                 \xintifboolexpr{\Multijo==0}{}{\xintifboolexpr{\Multijo>0}{+}{+(}\Affichage{0}{0}{\Multijo}\xintifboolexpr{\Multijo<0}{)}{}}%
               }{%
                 \xintifboolexpr{\theNbCalculDistri>1}{\xintifboolexpr{\Multik<0}{(\Affichage{\Multik}{0}{0})}{\Affichage{\Multik}{0}{0}}}{\Affichage{\Multik}{0}{0}}%
-              \xintifboolexpr{\Multim=0}{}{%
+              \xintifboolexpr{\Multim==0}{}{%
                 \xintifboolexpr{\Multim>0}{+\Affichage{0}{\Multim}{0}}{-\Affichage{0}{\fpeval{-\Multim}}{0}}%
               }%
-              \xintifboolexpr{\Multij=0}{}{\xintifboolexpr{\Multij<0}{-\Affichage{0}{0}{\fpeval{-\Multij}}}{+\Affichage{0}{0}{\Multij}}}%
+              \xintifboolexpr{\Multij==0}{}{\xintifboolexpr{\Multij<0}{-\Affichage{0}{0}{\fpeval{-\Multij}}}{+\Affichage{0}{0}{\Multij}}}%
               }%
                \ifboolKV[ClesDistributivite]{Somme}{\xdef\SommeA{\fpeval{\SommeA+\Multik}}\xdef\SommeB{\fpeval{\SommeB+\Multim}}\xdef\SommeC{\fpeval{\SommeC+\Multij}}}{}%
                \ifboolKV[ClesDistributivite]{Difference}{\xdef\SommeA{\fpeval{\SommeA-\Multik}}\xdef\SommeB{\fpeval{\SommeB-\Multim}}\xdef\SommeC{\fpeval{\SommeC-\Multij}}}{}%
             }{}%
-            \xintifboolexpr{\useKV[ClesDistributivite]{Echange}=2}{%
+            \xintifboolexpr{\useKV[ClesDistributivite]{Echange}==2}{%
               \xdef\Multim{\fpeval{#2*#4+#3*#5}}%
               \ifboolKV[ClesDistributivite]{Oppose}{%
                 \xdef\Multijo{\fpeval{-\Multij}}%
                 \xdef\Multimo{\fpeval{-\Multim}}%
                 \xdef\Multiko{\fpeval{-\Multik}}%
-                 \xintifboolexpr{\Multijo=0}{}{\xintifboolexpr{\Multijo<0}{(}{}\Affichage{\Multijo}{0}{0}\xintifboolexpr{\Multijo<0}{)}{}}%
-                 \xintifboolexpr{\Multimo=0}{}{\xintifboolexpr{\Multimo>0}{+}{+(}\Affichage{0}{\Multimo}{0}\xintifboolexpr{\Multimo<0}{)}{}}%
-                 \xintifboolexpr{\Multiko=0}{}{\xintifboolexpr{\Multiko>0}{+}{+(}\Affichage{0}{0}{\Multiko}\xintifboolexpr{\Multiko<0}{)}{}}%
+                 \xintifboolexpr{\Multijo==0}{}{\xintifboolexpr{\Multijo<0}{(}{}\Affichage{\Multijo}{0}{0}\xintifboolexpr{\Multijo<0}{)}{}}%
+                 \xintifboolexpr{\Multimo==0}{}{\xintifboolexpr{\Multimo>0}{+}{+(}\Affichage{0}{\Multimo}{0}\xintifboolexpr{\Multimo<0}{)}{}}%
+                 \xintifboolexpr{\Multiko==0}{}{\xintifboolexpr{\Multiko>0}{+}{+(}\Affichage{0}{0}{\Multiko}\xintifboolexpr{\Multiko<0}{)}{}}%
               }{%
                 \xintifboolexpr{\theNbCalculDistri>1}{\xintifboolexpr{\Multij<0}{(\Affichage{\Multij}{0}{0})}{\Affichage{\Multij}{0}{0}}}{\Affichage{\Multij}{0}{0}}%
-              \xintifboolexpr{\Multim=0}{}{%
+              \xintifboolexpr{\Multim==0}{}{%
                 \xintifboolexpr{\Multim>0}{+\Affichage{0}{\Multim}{0}}{-\Affichage{0}{\fpeval{-\Multim}}{0}}%
               }%
-              \xintifboolexpr{\Multik=0}{}{\xintifboolexpr{\Multik<0}{-\Affichage{0}{0}{\fpeval{-\Multik}}}{+\Affichage{0}{0}{\Multik}}}%
+              \xintifboolexpr{\Multik==0}{}{\xintifboolexpr{\Multik<0}{-\Affichage{0}{0}{\fpeval{-\Multik}}}{+\Affichage{0}{0}{\Multik}}}%
               }%
                \ifboolKV[ClesDistributivite]{Somme}{\xdef\SommeA{\fpeval{\SommeA+\Multij}}\xdef\SommeB{\fpeval{\SommeB+\Multim}}\xdef\SommeC{\fpeval{\SommeC+\Multik}}}{}%
                \ifboolKV[ClesDistributivite]{Difference}{\xdef\SommeA{\fpeval{\SommeA-\Multij}}\xdef\SommeB{\fpeval{\SommeB-\Multim}}\xdef\SommeC{\fpeval{\SommeC-\Multik}}}{}%
             }{}%
-            \xintifboolexpr{\useKV[ClesDistributivite]{Echange}=3}{%
+            \xintifboolexpr{\useKV[ClesDistributivite]{Echange}==3}{%
               \xdef\Multim{\fpeval{#2*#5+#3*#4}}%
               \ifboolKV[ClesDistributivite]{Oppose}{%
                 \xdef\Multilo{\fpeval{-\Multil}}%
                 \xdef\Multimo{\fpeval{-\Multim}}%
                 \xdef\Multio{\fpeval{-\Multi}}%
-                 \xintifboolexpr{\Multilo=0}{}{\xintifboolexpr{\Multilo<0}{(}{}\Affichage{\Multilo}{0}{0}\xintifboolexpr{\Multilo<0}{)}{}}%
-                 \xintifboolexpr{\Multimo=0}{}{\xintifboolexpr{\Multimo>0}{+}{+(}\Affichage{0}{\Multimo}{0}\xintifboolexpr{\Multimo<0}{)}{}}%
-                 \xintifboolexpr{\Multio=0}{}{\xintifboolexpr{\Multio>0}{+}{+(}\Affichage{0}{0}{\Multio}\xintifboolexpr{\Multio<0}{)}{}}%
+                 \xintifboolexpr{\Multilo==0}{}{\xintifboolexpr{\Multilo<0}{(}{}\Affichage{\Multilo}{0}{0}\xintifboolexpr{\Multilo<0}{)}{}}%
+                 \xintifboolexpr{\Multimo==0}{}{\xintifboolexpr{\Multimo>0}{+}{+(}\Affichage{0}{\Multimo}{0}\xintifboolexpr{\Multimo<0}{)}{}}%
+                 \xintifboolexpr{\Multio==0}{}{\xintifboolexpr{\Multio>0}{+}{+(}\Affichage{0}{0}{\Multio}\xintifboolexpr{\Multio<0}{)}{}}%
                }{%
                 \xintifboolexpr{\theNbCalculDistri>1}{\xintifboolexpr{\Multil<0}{(\Affichage{\Multil}{0}{0})}{\Affichage{\Multil}{0}{0}}}{\Affichage{\Multil}{0}{0}}%
-              \xintifboolexpr{\Multim=0}{}{%
+              \xintifboolexpr{\Multim==0}{}{%
                 \xintifboolexpr{\Multim>0}{+\Affichage{0}{\Multim}{0}}{-\Affichage{0}{\fpeval{-\Multim}}{0}}%
               }%
-              \xintifboolexpr{\Multi=0}{}{\xintifboolexpr{\Multi<0}{-\Affichage{0}{0}{\fpeval{-\Multi}}}{+\Affichage{0}{0}{\Multi}}}%
+              \xintifboolexpr{\Multi==0}{}{\xintifboolexpr{\Multi<0}{-\Affichage{0}{0}{\fpeval{-\Multi}}}{+\Affichage{0}{0}{\Multi}}}%
               }
                \ifboolKV[ClesDistributivite]{Somme}{\xdef\SommeA{\fpeval{\SommeA+\Multil}}\xdef\SommeB{\fpeval{\SommeB+\Multim}}\xdef\SommeC{\fpeval{\SommeC+\Multi}}}{}%
                \ifboolKV[ClesDistributivite]{Difference}{\xdef\SommeA{\fpeval{\SommeA-\Multil}}\xdef\SommeB{\fpeval{\SommeB-\Multim}}\xdef\SommeC{\fpeval{\SommeC-\Multi}}}{}%
@@ -5646,7 +5633,7 @@ vardef Positions(expr Step)=
   }%
   % On choisit \'eventuellement le calcul \`a faire s'il y en a plusieurs.
   \xdef\CompteurCalcul{\useKV[ClesThales]{ChoixCalcul}}%
-  \xintifboolexpr{\CompteurCalcul>0}{\xintifboolexpr{\CompteurCalcul=1}{\xdef\cmya{0}\xdef\cmza{0}}{\xintifboolexpr{\CompteurCalcul=2}{\xdef\cmxa{0}\xdef\cmza{0}}{\xdef\cmxa{0}\xdef\cmya{0}}}}{}%
+  \xintifboolexpr{\CompteurCalcul>0}{\xintifboolexpr{\CompteurCalcul==1}{\xdef\cmya{0}\xdef\cmza{0}}{\xintifboolexpr{\CompteurCalcul==2}{\xdef\cmxa{0}\xdef\cmza{0}}{\xdef\cmxa{0}\xdef\cmya{0}}}}{}%
   %%on fait les calculs
 \begin{align*}
     %Premier compteur \xxx
@@ -5863,7 +5850,7 @@ vardef Positions(expr Step)=
   }%
   % On choisit \'eventuellement le calcul \`a faire s'il y en a plusieurs.
   \xdef\CompteurCalcul{\useKV[ClesThales]{ChoixCalcul}}%
-  \xintifboolexpr{\CompteurCalcul>0}{\xintifboolexpr{\CompteurCalcul=1}{\xdef\cmya{0}\xdef\cmza{0}}{\xintifboolexpr{\CompteurCalcul=2}{\xdef\cmxa{0}\xdef\cmza{0}}{\xdef\cmxa{0}\xdef\cmya{0}}}}%
+  \xintifboolexpr{\CompteurCalcul>0}{\xintifboolexpr{\CompteurCalcul==1}{\xdef\cmya{0}\xdef\cmza{0}}{\xintifboolexpr{\CompteurCalcul==2}{\xdef\cmxa{0}\xdef\cmza{0}}{\xdef\cmxa{0}\xdef\cmya{0}}}}%
   %%on fait les calculs
 \begin{align*}
     %Premier compteur \xxx
@@ -6121,7 +6108,7 @@ vardef Positions(expr Step)=
     \begin{align*}
       \num{#3}\times\num{#6}&=\num{\fpeval{#3*#6}}&&&\num{#4}\times\num{#5}&=\num{\fpeval{#4*#5}}
     \end{align*}
-    \xintifboolexpr{\NumA = \NumB}{Comme les produits en croix sont
+    \xintifboolexpr{\NumA == \NumB}{Comme les produits en croix sont
       \'egaux, alors
       $\dfrac{\NomA\NomM}{\NomA\NomB}=\dfrac{\NomA\NomN}{\NomA\NomC}$.\\[0.5em]%
     }{%
@@ -6131,20 +6118,20 @@ vardef Positions(expr Step)=
   }{%
     \[\left.
         \begin{array}{l}
-          \dfrac{\NomA\NomM}{\NomA\NomB}=\dfrac{\num{#3}}{\num{#4}}\ifx\bla#7\bla\ifboolKV[ClesThales]{Simplification}{\PGCD{#3}{#4}\xintifboolexpr{\pgcd=1}{%il faut regarder si on doit continuer avec le PPCM...
-          \PGCD{#5}{#6}\xintifboolexpr{\pgcd>1}{\xdef\DenomSimpaa{\fpeval{#6/\pgcd}}\PPCM{#4}{\DenomSimpaa}\xintifboolexpr{\ppcm=#4}{}{=\dfrac{#3\times\num{\fpeval{\ppcm/#4}}}{#4\times\num{\fpeval{\ppcm/#4}}}=\dfrac{\num{\fpeval{#3*\ppcm/#4}}}{\num{\fpeval{\ppcm}}}}}{}%
-          }{=\displaystyle\Simplification[All]{#3}{#4}\PGCD{#3}{#4}\xdef\NumSimp{\fpeval{#3/\pgcd}}\xdef\DenomSimp{\fpeval{#4/\pgcd}}\PGCD{#5}{#6}\xdef\NumSimpa{\fpeval{#5/\pgcd}}\xdef\DenomSimpa{\fpeval{#6/\pgcd}}\PPCM{\DenomSimp}{\DenomSimpa}\xintifboolexpr{\fpeval{\the\ppcm/\DenomSimp}=1}{}{=\dfrac{\num{\NumSimp}\times\num{\fpeval{\the\ppcm/\DenomSimp}}}{\num{\DenomSimp}\times\PPCM{\DenomSimp}{\DenomSimpa}\num{\fpeval{\the\ppcm/\DenomSimp}}}=\dfrac{\PPCM{\DenomSimp}{\DenomSimpa}\num{\fpeval{\NumSimp*\the\ppcm/\DenomSimp}}}{\PPCM{\DenomSimp}{\DenomSimpa}\num{\the\ppcm}}}}}{\PPCM{#4}{#6}\xintifboolexpr{\fpeval{\the\ppcm/#4}=1}{}{=\dfrac{\num{#3}\times\num{\fpeval{\the\ppcm/#4}}}{\num{#4}\times\PPCM{#4}{#6}\num{\fpeval{\the\ppcm/#4}}}=\dfrac{\PPCM{#4}{#6}\num{\fpeval{#3*\the\ppcm/#4}}}{\PPCM{#4}{#6}\num{\the\ppcm}}}}\xdef\NumA{\fpeval{#3*#6}}\else%
-         \xintifboolexpr{#7=1}{}{=\dfrac{\num{#3}\times\num{#7}}{\num{#4}\times\num{#7}}=\dfrac{\num{\fpeval{#3*#7}}}{\num{\fpeval{#4*#7}}}}\xdef\NumC{\fpeval{#4*#7}}\xdef\NumD{\fpeval{#6*#8}}\PPCM{\NumC}{\NumD}\xintifboolexpr{\the\ppcm=\fpeval{#4*#7}}{}{=\dfrac{\num{\fpeval{#3*#7}}\times\num{\fpeval{\the\ppcm/(#4*#7)}}}{\num{\fpeval{#4*#7}}\times\xdef\NumC{\fpeval{#4*#7}}\xdef\NumD{\fpeval{#6*#8}}\PPCM{\NumC}{\NumD}\num{\fpeval{\the\ppcm/(#4*#7)}}}=\dfrac{\xdef\NumC{\fpeval{#4*#7}}\xdef\NumD{\fpeval{#6*#8}}\PPCM{\NumC}{\NumD}\num{\fpeval{#3*\the\ppcm/#4}}}{\xdef\NumC{\fpeval{#4*#7}}\xdef\NumD{\fpeval{#6*#8}}\PPCM{\NumC}{\NumD}\num{\fpeval{\the\ppcm}}}}\xdef\NumA{\fpeval{#3*#7*#6*#8}}
+          \dfrac{\NomA\NomM}{\NomA\NomB}=\dfrac{\num{#3}}{\num{#4}}\ifx\bla#7\bla\ifboolKV[ClesThales]{Simplification}{\PGCD{#3}{#4}\xintifboolexpr{\pgcd==1}{%il faut regarder si on doit continuer avec le PPCM...
+          \PGCD{#5}{#6}\xintifboolexpr{\pgcd>1}{\xdef\DenomSimpaa{\fpeval{#6/\pgcd}}\PPCM{#4}{\DenomSimpaa}\xintifboolexpr{\ppcm==#4}{}{=\dfrac{#3\times\num{\fpeval{\ppcm/#4}}}{#4\times\num{\fpeval{\ppcm/#4}}}=\dfrac{\num{\fpeval{#3*\ppcm/#4}}}{\num{\fpeval{\ppcm}}}}}{}%
+          }{=\displaystyle\Simplification[All]{#3}{#4}\PGCD{#3}{#4}\xdef\NumSimp{\fpeval{#3/\pgcd}}\xdef\DenomSimp{\fpeval{#4/\pgcd}}\PGCD{#5}{#6}\xdef\NumSimpa{\fpeval{#5/\pgcd}}\xdef\DenomSimpa{\fpeval{#6/\pgcd}}\PPCM{\DenomSimp}{\DenomSimpa}\xintifboolexpr{\fpeval{\the\ppcm/\DenomSimp}==1}{}{=\dfrac{\num{\NumSimp}\times\num{\fpeval{\the\ppcm/\DenomSimp}}}{\num{\DenomSimp}\times\PPCM{\DenomSimp}{\DenomSimpa}\num{\fpeval{\the\ppcm/\DenomSimp}}}=\dfrac{\PPCM{\DenomSimp}{\DenomSimpa}\num{\fpeval{\NumSimp*\the\ppcm/\DenomSimp}}}{\PPCM{\DenomSimp}{\DenomSimpa}\num{\the\ppcm}}}}}{\PPCM{#4}{#6}\xintifboolexpr{\fpeval{\the\ppcm/#4}==1}{}{=\dfrac{\num{#3}\times\num{\fpeval{\the\ppcm/#4}}}{\num{#4}\times\PPCM{#4}{#6}\num{\fpeval{\the\ppcm/#4}}}=\dfrac{\PPCM{#4}{#6}\num{\fpeval{#3*\the\ppcm/#4}}}{\PPCM{#4}{#6}\num{\the\ppcm}}}}\xdef\NumA{\fpeval{#3*#6}}\else%
+         \xintifboolexpr{#7==1}{}{=\dfrac{\num{#3}\times\num{#7}}{\num{#4}\times\num{#7}}=\dfrac{\num{\fpeval{#3*#7}}}{\num{\fpeval{#4*#7}}}}\xdef\NumC{\fpeval{#4*#7}}\xdef\NumD{\fpeval{#6*#8}}\PPCM{\NumC}{\NumD}\xintifboolexpr{\the\ppcm==\fpeval{#4*#7}}{}{=\dfrac{\num{\fpeval{#3*#7}}\times\num{\fpeval{\the\ppcm/(#4*#7)}}}{\num{\fpeval{#4*#7}}\times\xdef\NumC{\fpeval{#4*#7}}\xdef\NumD{\fpeval{#6*#8}}\PPCM{\NumC}{\NumD}\num{\fpeval{\the\ppcm/(#4*#7)}}}=\dfrac{\xdef\NumC{\fpeval{#4*#7}}\xdef\NumD{\fpeval{#6*#8}}\PPCM{\NumC}{\NumD}\num{\fpeval{#3*\the\ppcm/#4}}}{\xdef\NumC{\fpeval{#4*#7}}\xdef\NumD{\fpeval{#6*#8}}\PPCM{\NumC}{\NumD}\num{\fpeval{\the\ppcm}}}}\xdef\NumA{\fpeval{#3*#7*#6*#8}}
           \fi
           \\
           \\
           \dfrac{\NomA\NomN}{\NomA\NomC}=\dfrac{\num{#5}}{\num{#6}}%
           \ifx\bla#8\bla%
-          \ifboolKV[ClesThales]{Simplification}{\PGCD{#5}{#6}\xintifboolexpr{\pgcd=1}{%il faut regarder si on doit continuer avec le PPCM...
-          \PGCD{#3}{#4}\xintifboolexpr{\pgcd>1}{\xdef\DenomSimpaa{\fpeval{#4/\pgcd}}\PPCM{#6}{\DenomSimpaa}\xintifboolexpr{\ppcm=#6}{}{=\dfrac{#5\times\num{\fpeval{\ppcm/#6}}}{#6\times\num{\fpeval{\ppcm/#6}}}=\dfrac{\num{\fpeval{#5*\ppcm/#6}}}{\num{\fpeval{\ppcm}}}}}{}%
-          }{=\displaystyle\Simplification[All]{#5}{#6}\PGCD{#5}{#6}\xdef\NumSimp{\fpeval{#5/\pgcd}}\xdef\DenomSimp{\fpeval{#6/\pgcd}}\PGCD{#3}{#4}\xdef\NumSimpa{\fpeval{#3/\pgcd}}\xdef\DenomSimpa{\fpeval{#4/\pgcd}}\PPCM{\DenomSimp}{\DenomSimpa}\xintifboolexpr{\fpeval{\the\ppcm/\DenomSimp}=1}{}{=\dfrac{\num{\NumSimp}\times\num{\fpeval{\the\ppcm/\DenomSimp}}}{\num{\DenomSimp}\times\PPCM{\DenomSimp}{\DenomSimpa}\num{\fpeval{\the\ppcm/\DenomSimp}}}=\dfrac{\PPCM{\DenomSimp}{\DenomSimpa}\num{\fpeval{\NumSimp*\the\ppcm/\DenomSimp}}}{\PPCM{\DenomSimp}{\DenomSimpa}\num{\the\ppcm}}}}}{\PPCM{#4}{#6}\xintifboolexpr{\fpeval{\the\ppcm/#6}=1}{}{=\dfrac{\num{#5}\times\num{\fpeval{\the\ppcm/#6}}}{\num{#6}\times\PPCM{#4}{#6}\num{\fpeval{\the\ppcm/#6}}}=\dfrac{\PPCM{#4}{#6}\num{\fpeval{#5*\the\ppcm/#6}}}{\PPCM{#4}{#6}\num{\the\ppcm}}}}\xdef\NumB{\fpeval{#5*#4}}%
+          \ifboolKV[ClesThales]{Simplification}{\PGCD{#5}{#6}\xintifboolexpr{\pgcd==1}{%il faut regarder si on doit continuer avec le PPCM...
+          \PGCD{#3}{#4}\xintifboolexpr{\pgcd>1}{\xdef\DenomSimpaa{\fpeval{#4/\pgcd}}\PPCM{#6}{\DenomSimpaa}\xintifboolexpr{\ppcm==#6}{}{=\dfrac{#5\times\num{\fpeval{\ppcm/#6}}}{#6\times\num{\fpeval{\ppcm/#6}}}=\dfrac{\num{\fpeval{#5*\ppcm/#6}}}{\num{\fpeval{\ppcm}}}}}{}%
+          }{=\displaystyle\Simplification[All]{#5}{#6}\PGCD{#5}{#6}\xdef\NumSimp{\fpeval{#5/\pgcd}}\xdef\DenomSimp{\fpeval{#6/\pgcd}}\PGCD{#3}{#4}\xdef\NumSimpa{\fpeval{#3/\pgcd}}\xdef\DenomSimpa{\fpeval{#4/\pgcd}}\PPCM{\DenomSimp}{\DenomSimpa}\xintifboolexpr{\fpeval{\the\ppcm/\DenomSimp}==1}{}{=\dfrac{\num{\NumSimp}\times\num{\fpeval{\the\ppcm/\DenomSimp}}}{\num{\DenomSimp}\times\PPCM{\DenomSimp}{\DenomSimpa}\num{\fpeval{\the\ppcm/\DenomSimp}}}=\dfrac{\PPCM{\DenomSimp}{\DenomSimpa}\num{\fpeval{\NumSimp*\the\ppcm/\DenomSimp}}}{\PPCM{\DenomSimp}{\DenomSimpa}\num{\the\ppcm}}}}}{\PPCM{#4}{#6}\xintifboolexpr{\fpeval{\the\ppcm/#6}==1}{}{=\dfrac{\num{#5}\times\num{\fpeval{\the\ppcm/#6}}}{\num{#6}\times\PPCM{#4}{#6}\num{\fpeval{\the\ppcm/#6}}}=\dfrac{\PPCM{#4}{#6}\num{\fpeval{#5*\the\ppcm/#6}}}{\PPCM{#4}{#6}\num{\the\ppcm}}}}\xdef\NumB{\fpeval{#5*#4}}%
           \else%
-          \xintifboolexpr{#8=1}{}{=\dfrac{\num{#5}\times\num{#8}}{\num{#6}\times\num{#8}}=\dfrac{\num{\fpeval{#5*#8}}}{\num{\fpeval{#6*#8}}}}\xdef\NumC{\fpeval{#4*#7}}\xdef\NumD{\fpeval{#6*#8}}\PPCM{\NumC}{\NumD}\xintifboolexpr{\the\ppcm=\fpeval{#6*#8}}{}{=\dfrac{\num{\fpeval{#5*#8}}\times\num{\fpeval{\the\ppcm/(#6*#8)}}}{\num{\fpeval{#6*#8}}\times\xdef\NumC{\fpeval{#4*#7}}\xdef\NumD{\fpeval{#6*#8}}\PPCM{\NumC}{\NumD}\num{\fpeval{\the\ppcm/(#6*#8)}}}=\dfrac{\xdef\NumC{\fpeval{#4*#7}}\xdef\NumD{\fpeval{#6*#8}}\PPCM{\NumC}{\NumD}\num{\fpeval{#5*\the\ppcm/#6}}}{\xdef\NumC{\fpeval{#4*#7}}\xdef\NumD{\fpeval{#6*#8}}\PPCM{\NumC}{\NumD}\num{\fpeval{\the\ppcm}}}
+          \xintifboolexpr{#8==1}{}{=\dfrac{\num{#5}\times\num{#8}}{\num{#6}\times\num{#8}}=\dfrac{\num{\fpeval{#5*#8}}}{\num{\fpeval{#6*#8}}}}\xdef\NumC{\fpeval{#4*#7}}\xdef\NumD{\fpeval{#6*#8}}\PPCM{\NumC}{\NumD}\xintifboolexpr{\the\ppcm==\fpeval{#6*#8}}{}{=\dfrac{\num{\fpeval{#5*#8}}\times\num{\fpeval{\the\ppcm/(#6*#8)}}}{\num{\fpeval{#6*#8}}\times\xdef\NumC{\fpeval{#4*#7}}\xdef\NumD{\fpeval{#6*#8}}\PPCM{\NumC}{\NumD}\num{\fpeval{\the\ppcm/(#6*#8)}}}=\dfrac{\xdef\NumC{\fpeval{#4*#7}}\xdef\NumD{\fpeval{#6*#8}}\PPCM{\NumC}{\NumD}\num{\fpeval{#5*\the\ppcm/#6}}}{\xdef\NumC{\fpeval{#4*#7}}\xdef\NumD{\fpeval{#6*#8}}\PPCM{\NumC}{\NumD}\num{\fpeval{\the\ppcm}}}
           }\xdef\NumB{\fpeval{#5*#8*#4*#7}}
           \fi\\
         \end{array}
@@ -6164,7 +6151,7 @@ vardef Positions(expr Step)=
     th\'eor\`eme de Thal\`es.\else%
     Donc les droites $(\NomM\NomN)$ et $(\NomB\NomC)$ ne sont pas parall\`eles.\fi
   }{%
-    \xintifboolexpr{\NumA=\NumB}{%
+    \xintifboolexpr{\NumA==\NumB}{%
       De plus, les points $\NomA$, $\NomM$, $\NomB$ sont align\'es dans
       le m\^eme ordre que les points $\NomA$, $\NomN$, $\NomC$. Donc les
       droites $(\NomM\NomN)$ et $(\NomB\NomC)$ sont parall\`eles d'apr\`es
@@ -6517,21 +6504,27 @@ vardef Positions(expr Step)=
   label(btex #3 etex,1.15[O,C]);
   label(btex ? etex,A+0.95u*unitvector(I-A));
   decalage:=3mm;
+  if #6>0:
   if angle(1/2[A,C]-B)>0:
     label(btex \num{#6} etex,1.2[B,1/2[A,C]]);
   else:
   label(btex \num{#6} etex,1.2[B,1/2[A,C]]);
   fi;
+  fi;
+  if #4>0:
   if angle(1/2[B,C]-A)>0:
    label(btex \num{#4} etex,1/2[B,C]-decalage*(unitvector(A-B)));
   else:
     label(btex \num{#4} etex,1/2[B,C]-decalage*(unitvector(A-B)));
-  fi;
+    fi;
+    fi;
+    if #5>0:
   if angle(1/2[A,B]-C)>0:
     label(btex \num{#5} etex,1/2[A,B]-decalage*(unitvector(C-B)));
   else:
   label(btex \num{#5} etex,1/2[A,B]-decalage*(unitvector(C-B)));
   fi;
+  fi;
 \end{mplibcode}
 \mplibcodeinherit{disable}
   \else
@@ -6579,21 +6572,27 @@ vardef Positions(expr Step)=
   label(btex #3 etex,1.15[O,C]);
   label(btex ? etex,A+0.95u*unitvector(I-A));
   decalage:=3mm;
+  if #6>0:
   if angle(1/2[A,C]-B)>0:
     label(btex \num{#6} etex,1.2[B,1/2[A,C]]);
   else:
   label(btex \num{#6} etex,1.2[B,1/2[A,C]]);
   fi;
+  fi;
+  if #4>0:
   if angle(1/2[B,C]-A)>0:
    label(btex \num{#4} etex,1/2[B,C]-decalage*(unitvector(A-B)));
   else:
     label(btex \num{#4} etex,1/2[B,C]-decalage*(unitvector(A-B)));
-  fi;
+    fi;
+    fi;
+    if #5>0:
   if angle(1/2[A,B]-C)>0:
     label(btex \num{#5} etex,1/2[A,B]-decalage*(unitvector(C-B)));
   else:
   label(btex \num{#5} etex,1/2[A,B]-decalage*(unitvector(C-B)));
   fi;
+  fi;
 \end{mpost}
 \fi
 }
@@ -6809,13 +6808,13 @@ vardef Positions(expr Step)=
   \ifboolKV[ClesTrigo]{FigureSeule}{%
     \ifx\bla#5\bla%
     \ifboolKV[ClesTrigo]{Cosinus}{%
-      \MPFigTrigoAngle{\NomA}{\NomB}{\NomC}{}{#3}{#4}{\useKV[ClesTrigo]{Angle}}
+      \MPFigTrigoAngle{\NomA}{\NomB}{\NomC}{-1}{#3}{#4}{\useKV[ClesTrigo]{Angle}}
     }{}%
     \ifboolKV[ClesTrigo]{Sinus}{%
-      \MPFigTrigoAngle{\NomA}{\NomB}{\NomC}{#3}{}{#4}{\useKV[ClesTrigo]{Angle}}
+      \MPFigTrigoAngle{\NomA}{\NomB}{\NomC}{#3}{-1}{#4}{\useKV[ClesTrigo]{Angle}}
     }{}%
     \ifboolKV[ClesTrigo]{Tangente}{%
-      \MPFigTrigoAngle{\NomA}{\NomB}{\NomC}{#3}{#4}{}{\useKV[ClesTrigo]{Angle}}
+      \MPFigTrigoAngle{\NomA}{\NomB}{\NomC}{#3}{#4}{-1}{\useKV[ClesTrigo]{Angle}}
     }{}%
     \else%}{%figure pour calculer une longueur
     \ifboolKV[ClesTrigo]{Cosinus}{%
@@ -6847,17 +6846,17 @@ vardef Positions(expr Step)=
         \ifx\bla#5\bla%
         \ifboolKV[ClesTrigo]{Cosinus}{%
           \begin{center}
-            \MPFigTrigoAngle{\NomA}{\NomB}{\NomC}{}{#3}{#4}{\useKV[ClesTrigo]{Angle}}
+            \MPFigTrigoAngle{\NomA}{\NomB}{\NomC}{-1}{#3}{#4}{\useKV[ClesTrigo]{Angle}}
           \end{center}
         }{}%
         \ifboolKV[ClesTrigo]{Sinus}{%
           \begin{center}
-            \MPFigTrigoAngle{\NomA}{\NomB}{\NomC}{#3}{}{#4}{\useKV[ClesTrigo]{Angle}}
+            \MPFigTrigoAngle{\NomA}{\NomB}{\NomC}{#3}{-1}{#4}{\useKV[ClesTrigo]{Angle}}
           \end{center}
         }{}%
         \ifboolKV[ClesTrigo]{Tangente}{%
           \begin{center}
-            \MPFigTrigoAngle{\NomA}{\NomB}{\NomC}{#3}{#4}{}{\useKV[ClesTrigo]{Angle}}
+            \MPFigTrigoAngle{\NomA}{\NomB}{\NomC}{#3}{#4}{-1}{\useKV[ClesTrigo]{Angle}}
           \end{center}
         }{}%
         \else%}{%figure pour calculer une longueur
@@ -6921,7 +6920,7 @@ vardef Positions(expr Step)=
 FreqVide=false,AngVide=false,ECCVide=false,TotalVide=false,Sondage=false,%
 Tableau=false,Stretch=1,Frequence=false,EffectifTotal=false,%
 Etendue=false,Moyenne=false,SET=false,Mediane=false,Total=false,Concret=false,%
-Unite={},Largeur=1cm,Precision=2,Donnee=Valeurs,Effectif=Effectif,Origine=0,Angle=false,SemiAngle=false,Qualitatif=false,TableauVide=false,Graphique=false,Batons=true,Unitex=0.5,Unitey=0.5,Rayon=3cm,AffichageAngle=false,Liste=false,ECC=false,Coupure=10,CouleurTab=gray!15,ListeCouleurs={white},Hachures=false,Inverse=false,AbscisseRotation=false}
+Unite={},Largeur=1cm,Precision=2,Donnee=Valeurs,Effectif=Effectif,Grille=false,Origine=0,Angle=false,SemiAngle=false,Qualitatif=false,TableauVide=false,Graphique=false,Batons=true,Pasx=1,Pasy=1,Unitex=0.5,Unitey=0.5,Rayon=3cm,AffichageAngle=false,Liste=false,ECC=false,Coupure=10,CouleurTab=gray!15,ListeCouleurs={white},Hachures=false,Inverse=false,AbscisseRotation=false,Representation=false}
 
 % La construction du tableau
 \def\addtotok#1#2{#1\expandafter{\the#1#2}}
@@ -7159,6 +7158,20 @@ Unite={},Largeur=1cm,Precision=2,Donnee=Valeurs,Effectif=Effectif,Origine=0,Angl
     endfor;
     enddef;
     toto(#4);
+    boolean Grille;
+    Grille:=\useKV[ClesStat]{Grille};
+    Pasx:=\useKV[ClesStat]{Pasx};
+    Pasy:=\useKV[ClesStat]{Pasy};    
+    if Grille:
+    drawoptions(withcolor 0.75white);
+    for k=0 step Pasx until ((maxx+1)):
+    trace (k*unitex,0)--(k*unitex,unitey*(maxy+1));
+    endfor;
+    for k=0 step Pasy until ((maxy+1)):
+    trace (0,k*unitey)--(unitex*(maxx+1),k*unitey);
+    endfor;
+    drawoptions();
+    fi;
     for k=1 upto n:
     draw A[k]--P[k] withpen pencircle scaled 2bp;
     draw B[k]--P[k] dashed evenly;
@@ -7172,7 +7185,7 @@ Unite={},Largeur=1cm,Precision=2,Donnee=Valeurs,Effectif=Effectif,Origine=0,Angl
   \mpxcommands{%
     \setKV[ClesStat]{#1}%
   }
-  \begin{mpost}
+  \begin{mpost}[mpsettings={boolean Grille; Grille:=\useKV[ClesStat]{Grille}; Pasx:=\useKV[ClesStat]{Pasx}; Pasy:=\useKV[ClesStat]{Pasy};}]
     maxx:=0;
     maxy:=0;
     unitex:=#2*cm;
@@ -7202,6 +7215,16 @@ Unite={},Largeur=1cm,Precision=2,Donnee=Valeurs,Effectif=Effectif,Origine=0,Angl
     endfor;
     enddef;
     toto(#4);
+    if Grille:
+    drawoptions(withcolor 0.75white);
+    for k=0 step Pasx until ((maxx+1)):
+    trace (k*unitex,0)--(k*unitex,unitey*(maxy+1));
+    endfor;
+    for k=0 step Pasy until ((maxy+1)):
+    trace (0,k*unitey)--(unitex*(maxx+1),k*unitey);
+    endfor;
+    drawoptions();
+    fi;
     for k=1 upto n:
     draw A[k]--P[k] withpen pencircle scaled 2bp;
     draw B[k]--P[k] dashed evenly;
@@ -7245,6 +7268,20 @@ Unite={},Largeur=1cm,Precision=2,Donnee=Valeurs,Effectif=Effectif,Origine=0,Angl
     endfor;
     enddef;
     toto(#4);
+    boolean Grille;
+    Grille:=\useKV[ClesStat]{Grille};
+    Pasx:=\useKV[ClesStat]{Pasx};
+    Pasy:=\useKV[ClesStat]{Pasy};    
+    if Grille:
+    drawoptions(withcolor 0.75white);
+    for k=0 step Pasx until ((n+1)):
+    trace (k*unitex,0)--(k*unitex,unitey*(maxy+1));
+    endfor;
+    for k=0 step Pasy until ((maxy+1)):
+    trace (0,k*unitey)--(unitex*(n+1),k*unitey);
+    endfor;
+    drawoptions();
+    fi;
     for k=0 upto n-1:
     draw A[k]--P[k] withpen pencircle scaled 2bp;
     draw B[k]--P[k] dashed evenly;
@@ -7258,7 +7295,7 @@ Unite={},Largeur=1cm,Precision=2,Donnee=Valeurs,Effectif=Effectif,Origine=0,Angl
     \mpxcommands{%
       \setKV[ClesStat]{#1}%
     }    
-  \begin{mpost}
+  \begin{mpost}[mpsettings={boolean Grille; Grille:=\useKV[ClesStat]{Grille}; Pasx:=\useKV[ClesStat]{Pasx}; Pasy:=\useKV[ClesStat]{Pasy};}]
     maxy:=0;
     unitex:=#2*cm;
     unitey:=#3*cm;
@@ -7285,6 +7322,16 @@ Unite={},Largeur=1cm,Precision=2,Donnee=Valeurs,Effectif=Effectif,Origine=0,Angl
     endfor;
     enddef;
     toto(#4);
+    if Grille:
+    drawoptions(withcolor 0.75white);
+    for k=0 step Pasx until ((n+1)):
+    trace (k*unitex,0)--(k*unitex,unitey*(maxy+1));
+    endfor;
+    for k=0 step Pasy until ((maxy+1)):
+    trace (0,k*unitey)--(unitex*(n+1),k*unitey);
+    endfor;
+    drawoptions();
+    fi;
     for k=0 upto n-1:
     draw A[k]--P[k] withpen pencircle scaled 2bp;
     draw B[k]--P[k] dashed evenly;
@@ -7570,18 +7617,26 @@ Unite={},Largeur=1cm,Precision=2,Donnee=Valeurs,Effectif=Effectif,Origine=0,Angl
 \newcommand\Stat[2][]{%
   \useKVdefault[ClesStat]%
   \setKV[ClesStat]{#1}%
-  \ifboolKV[ClesStat]{Liste}{%
-    \setsepchar{,}\ignoreemptyitems%
-    \readlist*\Liste{#2}%
-    \xdef\foo{}%
-    \setsepchar[*]{,*/}\ignoreemptyitems%
-    \xintFor* ##1 in {\xintSeq {1}{\Listelen}}\do{%
-      \xdef\foo{\foo 1/\Liste[##1],}%
-    }%
-    \readlist*\ListeComplete{\foo}%
-    \setKV[ClesStat]{Qualitatif}%
+  \ifboolKV[ClesStat]{Representation}{%
+    \setKV[TraceG]{Xmin=0,Ymin=0}%
+    \setKV[TraceG]{#1}%
+    \readlist*\ListePointsPlaces{#2}%
+    \newtoks\toklistepoint%
+    \foreachitem\compteur\in\ListePointsPlaces{\expandafter\Updatetoks\compteur\nil}%
+    \MPPlacePoint[#1]{\the\toklistepoint}%
   }{%
-    \ifboolKV[ClesStat]{Sondage}{%
+    \ifboolKV[ClesStat]{Liste}{%
+      \setsepchar{,}\ignoreemptyitems%
+      \readlist*\Liste{#2}%
+      \xdef\foo{}%
+      \setsepchar[*]{,*/}\ignoreemptyitems%
+      \xintFor* ##1 in {\xintSeq {1}{\Listelen}}\do{%
+        \xdef\foo{\foo 1/\Liste[##1],}%
+      }%
+      \readlist*\ListeComplete{\foo}%
+      \setKV[ClesStat]{Qualitatif}%
+    }{%
+      \ifboolKV[ClesStat]{Sondage}{%
       \setsepchar{,}\ignoreemptyitems%
       \readlist*\Liste{#2}%
       % "liste vide"
@@ -7750,7 +7805,7 @@ Unite={},Largeur=1cm,Precision=2,Donnee=Valeurs,Effectif=Effectif,Origine=0,Angl
           \begin{center}
             \begin{minipage}{0.9\linewidth}
               \DTLforeach*{mtdb}{\numeroDonnee=Numeric}{\num{\numeroDonnee}\ifboolKV[ClesStat]{Concret}{~\text{\useKV[ClesStat]{Unite}}}{}\DTLiflastrow{.}{;
-                }\nbdonnees=\fpeval{\nbdonnees+1}\modulo{\nbdonnees}{\useKV[ClesStat]{Coupure}}\xintifboolexpr{\remainder=0}{\\}{}}
+                }\nbdonnees=\fpeval{\nbdonnees+1}\modulo{\nbdonnees}{\useKV[ClesStat]{Coupure}}\xintifboolexpr{\remainder==0}{\\}{}}
             \end{minipage}
           \end{center}%
           \medskip%
@@ -7890,6 +7945,7 @@ Unite={},Largeur=1cm,Precision=2,Donnee=Valeurs,Effectif=Effectif,Origine=0,Angl
   }{}%
 }%
 }%
+}
 
 %%%
 % Radar
@@ -8116,7 +8172,7 @@ Unite={},Largeur=1cm,Precision=2,Donnee=Valeurs,Effectif=Effectif,Origine=0,Angl
 %%%
 % Equations
 %%%
-\setKVdefault[ClesEquation]{Ecart=0.5,Fleches=false,FlecheDiv=false,Laurent=false,Decomposition=false,Terme=false,Composition=false,Symbole=false,Entier=false,Lettre=x,Solution=false,LettreSol=true,Bloc=false,Simplification=false,CouleurTerme=black,CouleurCompo=black,CouleurSous=red,CouleurSymbole=orange,Verification=false,Nombre=0,Egalite=false,Produit=false,Facteurs=false,Carre=false,Exact=false,Pose=false,Equivalence=false}
+\setKVdefault[ClesEquation]{Ecart=0.5,Fleches=false,FlecheDiv=false,Laurent=false,Decomposition=false,Terme=false,Composition=false,Symbole=false,Decimal=false,Entier=false,Lettre=x,Solution=false,LettreSol=true,Bloc=false,Simplification=false,CouleurTerme=black,CouleurCompo=black,CouleurSous=red,CouleurSymbole=orange,Verification=false,Nombre=0,Egalite=false,Produit=false,Facteurs=false,Carre=false,Exact=false,Pose=false,Equivalence=false}
 
 \newcommand\rightcomment[4]%
   {\begin{tikzpicture}[remember picture,overlay]
@@ -8285,7 +8341,7 @@ Unite={},Largeur=1cm,Precision=2,Donnee=Valeurs,Effectif=Effectif,Origine=0,Angl
   \setKV[ClesEquation]{#1}%
   \xintifboolexpr{#2<0}{%
     Comme $\num{#2}$ est n\'egatif, alors l'\'equation $\useKV[ClesEquation]{Lettre}^2=\num{#2}$ n'a aucune solution.%
-  }{\xintifboolexpr{#2=0}{%
+  }{\xintifboolexpr{#2==0}{%
       L'\'equation $\useKV[ClesEquation]{Lettre}^2=0$ a une unique solution : $\useKV[ClesEquation]{Lettre}=0$.%
     }{%
       Comme \num{#2} est positif, alors l'\'equation $\useKV[ClesEquation]{Lettre}^2=\num{#2}$ a deux solutions :%
@@ -8305,24 +8361,24 @@ Unite={},Largeur=1cm,Precision=2,Donnee=Valeurs,Effectif=Effectif,Origine=0,Angl
   \ifboolKV[ClesEquation]{Equivalence}{%
           \[\Distri{#2}{#3}{#4}{#5}=0\]
     \begin{align*}%
-      &\makebox[0pt]{$\Longleftrightarrow$}&\xintifboolexpr{#3=0}{\xintifboolexpr{#2=1}{}{\num{#2}}\useKV[ClesEquation]{Lettre}}{\xintifboolexpr{#2=1}{}{\num{#2}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#3>0}{+\num{#3}}{-\num{\fpeval{0-#3}}}}&=0&\quad&\makebox[0pt]{ou}\quad&\xintifboolexpr{#5=0}{\xintifboolexpr{#4=1}{}{\num{#4}}\useKV[ClesEquation]{Lettre}}{\xintifboolexpr{#4=1}{}{\num{#4}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#5>0}{+\num{#5}}{-\num{\fpeval{0-#5}}}}&=0\\
-      &\makebox[0pt]{$\Longleftrightarrow$}&\xintifboolexpr{#3=0}{\xdef\Coeffa{1}\xdef\Coeffb{\fpeval{0-#3}}\xintifboolexpr{#2=1}{&}{\useKV[ClesEquation]{Lettre}&=0}}{\xdef\Coeffa{#2}\xdef\Coeffb{\fpeval{0-#3}}\xintifboolexpr{\Coeffa=1}{}{\num{\Coeffa}}\useKV[ClesEquation]{Lettre}&=\num{\Coeffb}}&&&\xintifboolexpr{#5=0}{\xdef\Coeffc{1}\xdef\Coeffd{\fpeval{0-#5}}\xintifboolexpr{#4=1}{&}{\useKV[ClesEquation]{Lettre}&=0}}{\xdef\Coeffc{#4}\xdef\Coeffd{\fpeval{0-#5}}\xintifboolexpr{\Coeffc=1}{}{\num{\Coeffc}}\useKV[ClesEquation]{Lettre}&=\num{\Coeffd}}%\\
-      \xintifboolexpr{\Coeffa=1 'and' \Coeffc=1}{}{\\%\ifnum\cmtd>1
-      &\makebox[0pt]{$\Longleftrightarrow$}&\xintifboolexpr{\Coeffa=1}{&}{\useKV[ClesEquation]{Lettre}&=\frac{\num{\Coeffb}}{\num{\Coeffa}}}\xintifboolexpr{\Coeffc=1}{}{&&&\useKV[ClesEquation]{Lettre}&=\frac{\num{\Coeffd}}{\num{\Coeffc}}}
+      &\makebox[0pt]{$\Longleftrightarrow$}&\xintifboolexpr{#3==0}{\xintifboolexpr{#2==1}{}{\num{#2}}\useKV[ClesEquation]{Lettre}}{\xintifboolexpr{#2==1}{}{\num{#2}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#3>0}{+\num{#3}}{-\num{\fpeval{0-#3}}}}&=0&\quad&\makebox[0pt]{ou}\quad&\xintifboolexpr{#5==0}{\xintifboolexpr{#4==1}{}{\num{#4}}\useKV[ClesEquation]{Lettre}}{\xintifboolexpr{#4==1}{}{\num{#4}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#5>0}{+\num{#5}}{-\num{\fpeval{0-#5}}}}&=0\\
+      &\makebox[0pt]{$\Longleftrightarrow$}&\xintifboolexpr{#3==0}{\xdef\Coeffa{1}\xdef\Coeffb{\fpeval{0-#3}}\xintifboolexpr{#2==1}{&}{\useKV[ClesEquation]{Lettre}&=0}}{\xdef\Coeffa{#2}\xdef\Coeffb{\fpeval{0-#3}}\xintifboolexpr{\Coeffa==1}{}{\num{\Coeffa}}\useKV[ClesEquation]{Lettre}&=\num{\Coeffb}}&&&\xintifboolexpr{#5==0}{\xdef\Coeffc{1}\xdef\Coeffd{\fpeval{0-#5}}\xintifboolexpr{#4==1}{&}{\useKV[ClesEquation]{Lettre}&=0}}{\xdef\Coeffc{#4}\xdef\Coeffd{\fpeval{0-#5}}\xintifboolexpr{\Coeffc==1}{}{\num{\Coeffc}}\useKV[ClesEquation]{Lettre}&=\num{\Coeffd}}%\\
+      \xintifboolexpr{\Coeffa==1 'and' \Coeffc==1}{}{\\%\ifnum\cmtd>1
+      &\makebox[0pt]{$\Longleftrightarrow$}&\xintifboolexpr{\Coeffa==1}{&}{\useKV[ClesEquation]{Lettre}&=\frac{\num{\Coeffb}}{\num{\Coeffa}}}\xintifboolexpr{\Coeffc==1}{}{&&&\useKV[ClesEquation]{Lettre}&=\frac{\num{\Coeffd}}{\num{\Coeffc}}}
       % accolade%\\
       %%%% 
       \ifboolKV[ClesEquation]{Entier}{%
       \xdef\TSimp{}%
-      \SSimpliTest{\Coeffb}{\Coeffa}\ifthenelse{\boolean{Simplification}}{\xintifboolexpr{#3=0}{\xdef\TSimp{0}}{\xdef\TSimp{1}}}{\xdef\TSimp{0}}
-      \SSimpliTest{\Coeffd}{\Coeffc}\ifthenelse{\boolean{Simplification}}{\xintifboolexpr{#5=0}{}{\xdef\TSimp{\fpeval{\TSimp+1}}}}{}
-      \xintifboolexpr{\TSimp=0}{}{\\
+      \SSimpliTest{\Coeffb}{\Coeffa}\ifthenelse{\boolean{Simplification}}{\xintifboolexpr{#3==0}{\xdef\TSimp{0}}{\xdef\TSimp{1}}}{\xdef\TSimp{0}}
+      \SSimpliTest{\Coeffd}{\Coeffc}\ifthenelse{\boolean{Simplification}}{\xintifboolexpr{#5==0}{}{\xdef\TSimp{\fpeval{\TSimp+1}}}}{}
+      \xintifboolexpr{\TSimp==0}{}{\\
       \ifboolKV[ClesEquation]{Simplification}{%
-      &\makebox[0pt]{$\Longleftrightarrow$}&\SSimpliTest{\Coeffb}{\Coeffa}\xintifboolexpr{\Coeffa=1}{&}{\ifthenelse{\boolean{Simplification}}{\useKV[ClesEquation]{Lettre}&=\SSimplifie{\Coeffb}{\Coeffa}}{&}%\\
+      &\makebox[0pt]{$\Longleftrightarrow$}&\SSimpliTest{\Coeffb}{\Coeffa}\xintifboolexpr{\Coeffa==1}{&}{\ifthenelse{\boolean{Simplification}}{\useKV[ClesEquation]{Lettre}&=\SSimplifie{\Coeffb}{\Coeffa}}{&}%\\
       }
       }{}
       &&&\ifboolKV[ClesEquation]{Simplification}{%
       \SSimpliTest{\Coeffd}{\Coeffc}%
-          \xintifboolexpr{\Coeffc=1}{}{\ifthenelse{\boolean{Simplification}}{\useKV[ClesEquation]{Lettre}&=\SSimplifie{\Coeffd}{\Coeffc}}{}%\\
+          \xintifboolexpr{\Coeffc==1}{}{\ifthenelse{\boolean{Simplification}}{\useKV[ClesEquation]{Lettre}&=\SSimplifie{\Coeffd}{\Coeffc}}{}%\\
       }
       }{}
       }
@@ -8331,25 +8387,25 @@ Unite={},Largeur=1cm,Precision=2,Donnee=Valeurs,Effectif=Effectif,Origine=0,Angl
     \end{align*}
   }{%
     \begin{align*}
-    \xintifboolexpr{#3=0}{\xintifboolexpr{#2=1}{}{\num{#2}}\useKV[ClesEquation]{Lettre}}{\xintifboolexpr{#2=1}{}{\num{#2}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#3>0}{+\num{#3}}{-\num{\fpeval{0-#3}}}}&=0&&\text{ou}&\xintifboolexpr{#5=0}{\xintifboolexpr{#4=1}{}{\num{#4}}\useKV[ClesEquation]{Lettre}}{\xintifboolexpr{#4=1}{}{\num{#4}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#5>0}{+\num{#5}}{-\num{\fpeval{0-#5}}}}&=0\\
-    \xintifboolexpr{#3=0}{\xdef\Coeffa{1}\xdef\Coeffb{\fpeval{0-#3}}\xintifboolexpr{#2=1}{&}{\useKV[ClesEquation]{Lettre}&=0}}{\xdef\Coeffa{#2}\xdef\Coeffb{\fpeval{0-#3}}\xintifboolexpr{\Coeffa=1}{}{\num{\Coeffa}}\useKV[ClesEquation]{Lettre}&=\num{\Coeffb}}&&&\xintifboolexpr{#5=0}{\xdef\Coeffc{1}\xdef\Coeffd{\fpeval{0-#5}}\xintifboolexpr{#4=1}{&}{\useKV[ClesEquation]{Lettre}&=0}}{\xdef\Coeffc{#4}\xdef\Coeffd{\fpeval{0-#5}}\xintifboolexpr{\Coeffc=1}{}{\num{\Coeffc}}\useKV[ClesEquation]{Lettre}&=\num{\Coeffd}}%\\
-      \xintifboolexpr{\Coeffa=1 'and' \Coeffc=1}{}{\\%\ifnum\cmtd>1
-      \xintifboolexpr{\Coeffa=1}{&}{\useKV[ClesEquation]{Lettre}&=\frac{\num{\Coeffb}}{\num{\Coeffa}}}\xintifboolexpr{\Coeffc=1}{}{&&&\useKV[ClesEquation]{Lettre}&=\frac{\num{\Coeffd}}{\num{\Coeffc}}}
+    \xintifboolexpr{#3==0}{\xintifboolexpr{#2==1}{}{\num{#2}}\useKV[ClesEquation]{Lettre}}{\xintifboolexpr{#2==1}{}{\num{#2}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#3>0}{+\num{#3}}{-\num{\fpeval{0-#3}}}}&=0&&\text{ou}&\xintifboolexpr{#5==0}{\xintifboolexpr{#4==1}{}{\num{#4}}\useKV[ClesEquation]{Lettre}}{\xintifboolexpr{#4==1}{}{\num{#4}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#5>0}{+\num{#5}}{-\num{\fpeval{0-#5}}}}&=0\\
+    \xintifboolexpr{#3==0}{\xdef\Coeffa{1}\xdef\Coeffb{\fpeval{0-#3}}\xintifboolexpr{#2==1}{&}{\useKV[ClesEquation]{Lettre}&=0}}{\xdef\Coeffa{#2}\xdef\Coeffb{\fpeval{0-#3}}\xintifboolexpr{\Coeffa==1}{}{\num{\Coeffa}}\useKV[ClesEquation]{Lettre}&=\num{\Coeffb}}&&&\xintifboolexpr{#5==0}{\xdef\Coeffc{1}\xdef\Coeffd{\fpeval{0-#5}}\xintifboolexpr{#4==1}{&}{\useKV[ClesEquation]{Lettre}&=0}}{\xdef\Coeffc{#4}\xdef\Coeffd{\fpeval{0-#5}}\xintifboolexpr{\Coeffc==1}{}{\num{\Coeffc}}\useKV[ClesEquation]{Lettre}&=\num{\Coeffd}}%\\
+      \xintifboolexpr{\Coeffa==1 'and' \Coeffc==1}{}{\\%\ifnum\cmtd>1
+      \xintifboolexpr{\Coeffa==1}{&}{\useKV[ClesEquation]{Lettre}&=\frac{\num{\Coeffb}}{\num{\Coeffa}}}\xintifboolexpr{\Coeffc==1}{}{&&&\useKV[ClesEquation]{Lettre}&=\frac{\num{\Coeffd}}{\num{\Coeffc}}}
        %accolade%\\
       %%%%   
       \ifboolKV[ClesEquation]{Entier}{%
       \xdef\TSimp{}
-      \SSimpliTest{\Coeffb}{\Coeffa}\ifthenelse{\boolean{Simplification}}{\xintifboolexpr{#3=0}{\xdef\TSimp{0}}{\xdef\TSimp{1}}}{\xdef\TSimp{0}}
-      \SSimpliTest{\Coeffd}{\Coeffc}\ifthenelse{\boolean{Simplification}}{\xintifboolexpr{#5=0}{}{\xdef\TSimp{\fpeval{\TSimp+1}}}}{}
-      \xintifboolexpr{\TSimp=0}{}{\\
+      \SSimpliTest{\Coeffb}{\Coeffa}\ifthenelse{\boolean{Simplification}}{\xintifboolexpr{#3==0}{\xdef\TSimp{0}}{\xdef\TSimp{1}}}{\xdef\TSimp{0}}
+      \SSimpliTest{\Coeffd}{\Coeffc}\ifthenelse{\boolean{Simplification}}{\xintifboolexpr{#5==0}{}{\xdef\TSimp{\fpeval{\TSimp+1}}}}{}
+      \xintifboolexpr{\TSimp==0}{}{\\
       \ifboolKV[ClesEquation]{Simplification}{%
       \SSimpliTest{\Coeffb}{\Coeffa}
-      \xintifboolexpr{\Coeffa=1}{&}{\ifthenelse{\boolean{Simplification}}{\useKV[ClesEquation]{Lettre}&=\SSimplifie{\Coeffb}{\Coeffa}}{&}%\\
+      \xintifboolexpr{\Coeffa==1}{&}{\ifthenelse{\boolean{Simplification}}{\useKV[ClesEquation]{Lettre}&=\SSimplifie{\Coeffb}{\Coeffa}}{&}%\\
       }
       }{}
       &&&\ifboolKV[ClesEquation]{Simplification}{%
       \SSimpliTest{\Coeffd}{\Coeffc}%
-          \xintifboolexpr{\Coeffc=1}{}{\ifthenelse{\boolean{Simplification}}{\useKV[ClesEquation]{Lettre}&=\SSimplifie{\Coeffd}{\Coeffc}}{}%\\
+          \xintifboolexpr{\Coeffc==1}{}{\ifthenelse{\boolean{Simplification}}{\useKV[ClesEquation]{Lettre}&=\SSimplifie{\Coeffd}{\Coeffc}}{}%\\
       }
       }{}
       }
@@ -8357,24 +8413,24 @@ Unite={},Largeur=1cm,Precision=2,Donnee=Valeurs,Effectif=Effectif,Origine=0,Angl
       }
     \end{align*}
   }%
-  \ifboolKV[ClesEquation]{Solution}{L'\'equation $\xintifboolexpr{#3=0}{\xintifboolexpr{#2=1}{}{\num{#2}}\useKV[ClesEquation]{Lettre}}{(\xintifboolexpr{#2=1}{}{\num{#2}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#3>0}{+\num{#3}}{-\num{\fpeval{0-#3}}})}\xintifboolexpr{#5=0}{\times\xintifboolexpr{#4=1}{}{\num{#4}}\useKV[ClesEquation]{Lettre}}{(\xintifboolexpr{#4=1}{}{\num{#4}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#5>0}{+\num{#5}}{-\num{\fpeval{0-#5}}})}=0$ a deux solutions : \opdiv*{\Coeffb}{\Coeffa}{solution}{resteequa}\opcmp{resteequa}{0}$\ifboolKV[ClesEquation]{LettreSol}{\useKV[ClesEquation]{Lettre}=}{}\displaystyle\ifopeq\opexport{solution}{\solution}\num{\solution}\else\ifboolKV[ClesEquation]{Entier}{\SSimplifie{\Coeffb}{\Coeffa}}{\frac{\num{\Coeffb}}{\num{\Coeffa}}}\fi$ et \opdiv*{\Coeffd}{\Coeffc}{solution}{resteequa}\opcmp{resteequa}{0}$\ifboolKV[ClesEquation]{LettreSol}{\useKV[ClesEquation]{Lettre}=}{}\displaystyle\ifopeq\opexport{solution}{\solution}\num{\solution}\else\ifboolKV[ClesEquation]{Entier}{\SSimplifie{\Coeffd}{\Coeffc}}{\frac{\num{\Coeffd}}{\num{\Coeffc}}}\fi$.
+  \ifboolKV[ClesEquation]{Solution}{L'\'equation $\xintifboolexpr{#3==0}{\xintifboolexpr{#2==1}{}{\num{#2}}\useKV[ClesEquation]{Lettre}}{(\xintifboolexpr{#2==1}{}{\num{#2}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#3>0}{+\num{#3}}{-\num{\fpeval{0-#3}}})}\xintifboolexpr{#5==0}{\times\xintifboolexpr{#4==1}{}{\num{#4}}\useKV[ClesEquation]{Lettre}}{(\xintifboolexpr{#4==1}{}{\num{#4}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#5>0}{+\num{#5}}{-\num{\fpeval{0-#5}}})}=0$ a deux solutions : \opdiv*{\Coeffb}{\Coeffa}{solution}{resteequa}\opcmp{resteequa}{0}$\ifboolKV[ClesEquation]{LettreSol}{\useKV[ClesEquation]{Lettre}=}{}\displaystyle\ifopeq\opexport{solution}{\solution}\num{\solution}\else\ifboolKV[ClesEquation]{Entier}{\SSimplifie{\Coeffb}{\Coeffa}}{\frac{\num{\Coeffb}}{\num{\Coeffa}}}\fi$ et \opdiv*{\Coeffd}{\Coeffc}{solution}{resteequa}\opcmp{resteequa}{0}$\ifboolKV[ClesEquation]{LettreSol}{\useKV[ClesEquation]{Lettre}=}{}\displaystyle\ifopeq\opexport{solution}{\solution}\num{\solution}\else\ifboolKV[ClesEquation]{Entier}{\SSimplifie{\Coeffd}{\Coeffc}}{\frac{\num{\Coeffd}}{\num{\Coeffc}}}\fi$.
   }{}%
 }
 
 \newcommand\Verification[5][]{%
-  \setKV[ClesEquation]{#1}
-  \xdef\ValeurTest{\useKV[ClesEquation]{Nombre}}
-  Testons la valeur $\useKV[ClesEquation]{Lettre}=\num{\ValeurTest}$ :
+  \setKV[ClesEquation]{#1}%
+  \xdef\ValeurTest{\useKV[ClesEquation]{Nombre}}%
+  Testons la valeur $\useKV[ClesEquation]{Lettre}=\num{\ValeurTest}$ :%
   \begin{align*}
-    \xintifboolexpr{#2=0}{\num{#3}}{\num{#2}\times\xintifboolexpr{\ValeurTest<0}{(\num{\ValeurTest})}{\num{\ValeurTest}}\xintifboolexpr{#3=0}{}{\xintifboolexpr{#3>0}{+\num{#3}}{\num{#3}}}}&&\xintifboolexpr{#4=0}{\num{#5}}{\num{#4}\times\xintifboolexpr{\ValeurTest<0}{(\num{\ValeurTest})}{\num{\ValeurTest}}\xintifboolexpr{#5=0}{}{\xintifboolexpr{#5>0}{+\num{#5}}{\num{#5}}}}\\
-    \xintifboolexpr{#2=0}{}{\num{\fpeval{#2*\useKV[ClesEquation]{Nombre}}}\xintifboolexpr{#3=0}{}{\xintifboolexpr{#3>0}{+\num{#3}}{\num{#3}}}}&&\xintifboolexpr{#4=0}{}{\num{\fpeval{#4*\useKV[ClesEquation]{Nombre}}}\xintifboolexpr{#5=0}{}{\xintifboolexpr{#5>0}{+\num{#5}}{\num{#5}}}}\\
-    \xintifboolexpr{#2=0}{}{\num{\fpeval{#2*\useKV[ClesEquation]{Nombre}+#3}}}&&\xintifboolexpr{#4=0}{}{\num{\fpeval{#4*\useKV[ClesEquation]{Nombre}+#5}}}
+    \xintifboolexpr{#2==0}{\num{#3}}{\num{#2}\times\xintifboolexpr{\ValeurTest<0}{(\num{\ValeurTest})}{\num{\ValeurTest}}\xintifboolexpr{#3==0}{}{\xintifboolexpr{#3>0}{+\num{#3}}{\num{#3}}}}&&\xintifboolexpr{#4==0}{\num{#5}}{\num{#4}\times\xintifboolexpr{\ValeurTest<0}{(\num{\ValeurTest})}{\num{\ValeurTest}}\xintifboolexpr{#5==0}{}{\xintifboolexpr{#5>0}{+\num{#5}}{\num{#5}}}}\\
+    \xintifboolexpr{#2==0}{}{\num{\fpeval{#2*\useKV[ClesEquation]{Nombre}}}\xintifboolexpr{#3==0}{}{\xintifboolexpr{#3>0}{+\num{#3}}{\num{#3}}}}&&\xintifboolexpr{#4==0}{}{\num{\fpeval{#4*\useKV[ClesEquation]{Nombre}}}\xintifboolexpr{#5==0}{}{\xintifboolexpr{#5>0}{+\num{#5}}{\num{#5}}}}\\
+    \xintifboolexpr{#2==0}{}{\num{\fpeval{#2*\useKV[ClesEquation]{Nombre}+#3}}}&&\xintifboolexpr{#4==0}{}{\num{\fpeval{#4*\useKV[ClesEquation]{Nombre}+#5}}}
   \end{align*}
-  \xdef\Testa{\fpeval{#2*\useKV[ClesEquation]{Nombre}+#3}}\xdef\Testb{\fpeval{#4*\useKV[ClesEquation]{Nombre}+#5}}
+  \xdef\Testa{\fpeval{#2*\useKV[ClesEquation]{Nombre}+#3}}\xdef\Testb{\fpeval{#4*\useKV[ClesEquation]{Nombre}+#5}}%
   \ifboolKV[ClesEquation]{Egalite}{%
-    Comme \xintifboolexpr{\Testa=\Testb}{$\num{\Testa}=\num{\Testb}$}{$\num{\Testa}\not=\num{\Testb}$}, alors l'\'egalit\'e $\xintifboolexpr{#2=0}{\num{#3}}{\xintifboolexpr{#2=1}{}{\num{#2}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#3=0}{}{\xintifboolexpr{#3>0}{+\num{#3}}{-\num{\fpeval{0-#3}}}}}=\xintifboolexpr{#4=0}{\num{#5}}{\xintifboolexpr{#4=1}{}{\num{#4}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#5=0}{}{\xintifboolexpr{#5>0}{+\num{#5}}{-\num{\fpeval{0-#5}}}}}$ \xintifboolexpr{\Testa=\Testb}{ est v\'erifi\'ee }{ n'est pas v\'erifi\'ee } pour $\useKV[ClesEquation]{Lettre}=\num{\useKV[ClesEquation]{Nombre}}$.%
-  }{\xintifboolexpr{\Testa=\Testb}{Comme $\num{\Testa}=\num{\Testb}$, alors $\useKV[ClesEquation]{Lettre}=\num{\useKV[ClesEquation]{Nombre}}$ est bien }{Comme $\num{\Testa}\not=\num{\Testb}$, alors $\useKV[ClesEquation]{Lettre}=\num{\useKV[ClesEquation]{Nombre}}$ n'est pas }une solution de l'\'equation $\xintifboolexpr{#2=0}{\num{#3}}{\xintifboolexpr{#2=1}{}{\num{#2}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#3=0}{}{\xintifboolexpr{#3>0}{+\num{#3}}{-\num{\fpeval{0-#3}}}}}=\xintifboolexpr{#4=0}{\num{#5}}{\xintifboolexpr{#4=1}{}{\num{#4}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#5=0}{}{\xintifboolexpr{#5>0}{+\num{#5}}{-\num{\fpeval{0-#5}}}}}$.}
-}
+    Comme \xintifboolexpr{\Testa==\Testb}{$\num{\Testa}=\num{\Testb}$}{$\num{\Testa}\not=\num{\Testb}$}, alors l'\'egalit\'e $\xintifboolexpr{#2==0}{\num{#3}}{\xintifboolexpr{#2==1}{}{\num{#2}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#3==0}{}{\xintifboolexpr{#3>0}{+\num{#3}}{-\num{\fpeval{0-#3}}}}}=\xintifboolexpr{#4==0}{\num{#5}}{\xintifboolexpr{#4==1}{}{\num{#4}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#5==0}{}{\xintifboolexpr{#5>0}{+\num{#5}}{-\num{\fpeval{0-#5}}}}}$ \xintifboolexpr{\Testa==\Testb}{ est v\'erifi\'ee }{ n'est pas v\'erifi\'ee } pour $\useKV[ClesEquation]{Lettre}=\num{\useKV[ClesEquation]{Nombre}}$.%
+  }{\xintifboolexpr{\Testa==\Testb}{Comme $\num{\Testa}=\num{\Testb}$, alors $\useKV[ClesEquation]{Lettre}=\num{\useKV[ClesEquation]{Nombre}}$ est bien }{Comme $\num{\Testa}\not=\num{\Testb}$, alors $\useKV[ClesEquation]{Lettre}=\num{\useKV[ClesEquation]{Nombre}}$ n'est pas }une solution de l'\'equation $\xintifboolexpr{#2==0}{\num{#3}}{\xintifboolexpr{#2==1}{}{\num{#2}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#3==0}{}{\xintifboolexpr{#3>0}{+\num{#3}}{-\num{\fpeval{0-#3}}}}}=\xintifboolexpr{#4==0}{\num{#5}}{\xintifboolexpr{#4==1}{}{\num{#4}}\useKV[ClesEquation]{Lettre}\xintifboolexpr{#5==0}{}{\xintifboolexpr{#5>0}{+\num{#5}}{-\num{\fpeval{0-#5}}}}}$.}%
+}%
 
 %%%
 % Proportionnalit\'e
@@ -8549,7 +8605,7 @@ Unite={},Largeur=1cm,Precision=2,Donnee=Valeurs,Effectif=Effectif,Origine=0,Angl
           \xdef\NomCouleurTab{\useKV[ClesPourcentage]{CouleurTab}}%
           \xdef\NomLargeurTab{\useKV[ClesPourcentage]{Largeur}}%
           \begin{center}
-            \Propor[GrandeurA=\NomA,GrandeurB=\NomB,CouleurTab=\NomCouleurTab,Largeur=\NomLargeurTab]{/#3,#2/100}
+            \Propor[Math,GrandeurA=\NomA,GrandeurB=\NomB,CouleurTab=\NomCouleurTab,Largeur=\NomLargeurTab]{/\num{#3},\num{#2}/100}
           \end{center}
           \FlecheCoefInv{\tiny$\times\num{\fpeval{#2/100}}$}%
           On obtient une \useKV[ClesPourcentage]{MotReduction} de $\num{\fpeval{#2/100}}\times\num{#3}\ifboolKV[ClesPourcentage]{Concret}{~\text{\useKV[ClesPourcentage]{Unite}}}{}=\num{\fpeval{#3*#2/100}}$\ifboolKV[ClesPourcentage]{Concret}{~\useKV[ClesPourcentage]{Unite}}{}. Donc un total de $\num{#3}\ifboolKV[ClesPourcentage]{Concret}{~\text{\useKV[ClesPourcentage]{Unite}}}{}-\num{\fpeval{#3*#2/100}}\ifboolKV[ClesPourcentage]{Concret}{~\text{\useKV[ClesPourcentage]{Unite}}}{}=\num{\fpeval{#3*(1-#2/100)}}$\ifboolKV[ClesPourcentage]{Concret}{~\useKV[ClesPourcentage]{Unite}}{}.%
@@ -8570,7 +8626,7 @@ Unite={},Largeur=1cm,Precision=2,Donnee=Valeurs,Effectif=Effectif,Origine=0,Angl
           \xdef\NomCouleurTab{\useKV[ClesPourcentage]{CouleurTab}}%
           \xdef\NomLargeurTab{\useKV[ClesPourcentage]{Largeur}}%
           \begin{center}%
-            \Propor[GrandeurA=\NomA,GrandeurB=\NomB,CouleurTab=\NomCouleurTab,Largeur=\NomLargeurTab]{/#3,#2/100}%
+            \Propor[Math,GrandeurA=\NomA,GrandeurB=\NomB,CouleurTab=\NomCouleurTab,Largeur=\NomLargeurTab]{/\num{#3},\num{#2}/100}%
           \end{center}%
           \FlecheCoefInv{\tiny$\times\num{\fpeval{#2/100}}$}%
           On obtient une augmentation de $\num{\fpeval{#2/100}}\times\num{#3}\ifboolKV[ClesPourcentage]{Concret}{~\text{\useKV[ClesPourcentage]{Unite}}}{}=\num{\fpeval{#3*#2/100}}$\ifboolKV[ClesPourcentage]{Concret}{~\useKV[ClesPourcentage]{Unite}}{}.\\Donc un total de $\num{#3}\ifboolKV[ClesPourcentage]{Concret}{~\text{\useKV[ClesPourcentage]{Unite}}}{}+\num{\fpeval{#3*#2/100}}\ifboolKV[ClesPourcentage]{Concret}{~\text{\useKV[ClesPourcentage]{Unite}}}{}=\num{\fpeval{#3*(1+#2/100)}}$\ifboolKV[ClesPourcentage]{Concret}{~\useKV[ClesPourcentage]{Unite}}{}.%
@@ -8584,7 +8640,7 @@ Unite={},Largeur=1cm,Precision=2,Donnee=Valeurs,Effectif=Effectif,Origine=0,Angl
         \xdef\NomB{\useKV[ClesPourcentage]{GrandeurB}}%
         \xdef\NomCouleurTab{\useKV[ClesPourcentage]{CouleurTab}}%
         \xdef\NomLargeurTab{\useKV[ClesPourcentage]{Largeur}}%
-        \Propor[GrandeurA=\NomA,GrandeurB=\NomB,CouleurTab=\NomCouleurTab,Largeur=\NomLargeurTab]{#2/#3,/100}%
+        \Propor[Math,GrandeurA=\NomA,GrandeurB=\NomB,CouleurTab=\NomCouleurTab,Largeur=\NomLargeurTab]{\num{#2}/\num{#3},/100}%
         \xdef\colorfill{\useKV[ClesPourcentage]{ColorFill}}%
         \FlechesPB{2}{1}{\scriptsize$\times\num{\fpeval{#3/100}}$}%
         \FlechesPH{1}{2}{\scriptsize$\div\num{\fpeval{#3/100}}$}%
@@ -8887,8 +8943,7 @@ Unite={},Largeur=1cm,Precision=2,Donnee=Valeurs,Effectif=Effectif,Origine=0,Angl
 \newtoks\toklisteratio
 \def\UpdateRatio#1\nil{\addtotok\toklisteratio{#1,}}
 
-\def\updateratiotoks#1/#2/#3\nil{\addtotok\tabtoksa{&\num{#2}}\addtotok\tabtoksb{&\num{#3}}\addtotok\tabtoksc{&#1}}
-
+\def\updateratiotoks#1/#2/#3\nil{\addtotok\tabtoksa{&\ifx\bla#2\bla\else\num{#2}\fi}\addtotok\tabtoksb{&\ifx\bla#3\bla\else\num{#3}\fi}\addtotok\tabtoksc{&#1}}
 
 \def\buildtabratio{%
   \tabtoksa{}\tabtoksb{}\tabtoksc{}%
@@ -9006,7 +9061,7 @@ Unite={},Largeur=1cm,Precision=2,Donnee=Valeurs,Effectif=Effectif,Origine=0,Angl
 
 \newcommand\Redaction[4][]{%
   \ifboolKV[ClesDroites]{Remediation}{%
-    \xintifboolexpr{\useKV[ClesDroites]{Num}=1}{%
+    \xintifboolexpr{\useKV[ClesDroites]{Num}==1}{%
       \ifboolKV[ClesDroites]{CitePropriete}{%
         Les droites $(\hbox to2em{\dotfill})$ et $(\hbox to2em{\dotfill})$ sont parall\`eles. Les droites $(\hbox to2em{\dotfill})$ et $(\hbox to2em{\dotfill})$ sont parall\`eles.%
         
@@ -9016,7 +9071,7 @@ Unite={},Largeur=1cm,Precision=2,Donnee=Valeurs,Effectif=Effectif,Origine=0,Angl
       }{%
         Comme les droites $(\hbox to2em{\dotfill})$ et $(\hbox to2em{\dotfill})$ sont toutes les deux parall\`eles \`a la m\^eme droite $(\hbox to2em{\dotfill})$, alors les droites $(\hbox to2em{\dotfill})$ et $(\hbox to2em{\dotfill})$ sont parall\`eles.%
       }
-    }{\xintifboolexpr{\useKV[ClesDroites]{Num}=2}{%
+    }{\xintifboolexpr{\useKV[ClesDroites]{Num}==2}{%
         \ifboolKV[ClesDroites]{CitePropriete}{%
           Les droites $(\hbox to2em{\dotfill})$ et $(\hbox to2em{\dotfill})$ sont perpendiculaires. Les droites $(\hbox to2em{\dotfill})$ et $(\hbox to2em{\dotfill})$ sont perpendiculaires.%
           
@@ -9039,7 +9094,7 @@ Unite={},Largeur=1cm,Precision=2,Donnee=Valeurs,Effectif=Effectif,Origine=0,Angl
       }
     }%
   }{%
-    \xintifboolexpr{\useKV[ClesDroites]{Num}=1}{%
+    \xintifboolexpr{\useKV[ClesDroites]{Num}==1}{%
       \ifboolKV[ClesDroites]{CitePropriete}{%
         Les droites $(#2)$ et $(#4)$ sont parall\`eles. Les droites $(#3)$ et $(#4)$ sont parall\`eles.%
         
@@ -9049,7 +9104,7 @@ Unite={},Largeur=1cm,Precision=2,Donnee=Valeurs,Effectif=Effectif,Origine=0,Angl
       }{%
         Comme les droites $(#2)$ et $(#3)$ sont toutes les deux parall\`eles \`a la m\^eme droite $(#4)$, alors les droites $(#2)$ et $(#3)$ sont parall\`eles.
       }
-    }{\xintifboolexpr{\useKV[ClesDroites]{Num}=2}{%
+    }{\xintifboolexpr{\useKV[ClesDroites]{Num}==2}{%
         \ifboolKV[ClesDroites]{CitePropriete}{%
           Les droites $(#2)$ et $(#4)$ sont perpendiculaires. Les droites $(#3)$ et $(#4)$ sont perpendiculaires.%
           
@@ -9077,7 +9132,7 @@ Unite={},Largeur=1cm,Precision=2,Donnee=Valeurs,Effectif=Effectif,Origine=0,Angl
 \newcommand\Brouillon[4][]{%
   \setlength{\abovedisplayskip}{0pt}
   \ifboolKV[ClesDroites]{Remediation}{%
-    \xintifboolexpr{\useKV[ClesDroites]{Num}=1}{%
+    \xintifboolexpr{\useKV[ClesDroites]{Num}==1}{%
       \[\left.
           \begin{array}{l}
             (\hbox to2em{\dotfill})//(\hbox to2em{\dotfill})\\
@@ -9086,7 +9141,7 @@ Unite={},Largeur=1cm,Precision=2,Donnee=Valeurs,Effectif=Effectif,Origine=0,Angl
           \end{array}
         \right\}(\hbox to2em{\dotfill})//(\hbox to2em{\dotfill})
       \]
-    }{\xintifboolexpr{\useKV[ClesDroites]{Num}=2}{%
+    }{\xintifboolexpr{\useKV[ClesDroites]{Num}==2}{%
         \[\left.
             \begin{array}{l}
               (\hbox to2em{\dotfill})\perp(\hbox to2em{\dotfill})\\
@@ -9107,7 +9162,7 @@ Unite={},Largeur=1cm,Precision=2,Donnee=Valeurs,Effectif=Effectif,Origine=0,Angl
       }
     }
   }{
-    \xintifboolexpr{\useKV[ClesDroites]{Num}=1}{%
+    \xintifboolexpr{\useKV[ClesDroites]{Num}==1}{%
       \[\left.
           \begin{array}{l}
             (#2)//(#4)\\
@@ -9116,7 +9171,7 @@ Unite={},Largeur=1cm,Precision=2,Donnee=Valeurs,Effectif=Effectif,Origine=0,Angl
           \end{array}
         \right\}(#2)//(#3)
       \]
-    }{\xintifboolexpr{\useKV[ClesDroites]{Num}=2}{%
+    }{\xintifboolexpr{\useKV[ClesDroites]{Num}==2}{%
         \[\left.
             \begin{array}{l}
               (#2)\perp(#4)\\
@@ -9314,9 +9369,9 @@ Unite={},Largeur=1cm,Precision=2,Donnee=Valeurs,Effectif=Effectif,Origine=0,Angl
 
 \newcommand\FaireFigure[4][]{%
   \setlength{\abovedisplayskip}{0pt}
-  \xintifboolexpr{\useKV[ClesDroites]{Num}=1}{%
+  \xintifboolexpr{\useKV[ClesDroites]{Num}==1}{%
     \MPFigureDroite{2}{3}%
-  }{\xintifboolexpr{\useKV[ClesDroites]{Num}=2}{%
+  }{\xintifboolexpr{\useKV[ClesDroites]{Num}==2}{%
       \MPFigureDroite{2}{4}%
     }{%
       \MPFigureDroite{3}{4}%
@@ -9357,18 +9412,18 @@ Unite={},Largeur=1cm,Precision=2,Donnee=Valeurs,Effectif=Effectif,Origine=0,Angl
   \setKV[ClesAffine]{#1}%
   \ifboolKV[ClesAffine]{Image}{%
     \ifboolKV[ClesAffine]{Ligne}{%
-      \ensuremath{\useKV[ClesAffine]{Nom}(\num{#2})=\num{#3}\times\xintifboolexpr{#2<0}{(\num{#2})}{\num{#2}}\xintifboolexpr{#4=0}{}{\xintifboolexpr{#4>0}{+\num{#4}}{-\num{\fpeval{0-#4}}}}=\num{\fpeval{#2*#3}}\xintifboolexpr{#4=0}{}{\xintifboolexpr{#4>0}{+\num{#4}}{-\num{\fpeval{0-#4}}}}\xintifboolexpr{#4=0}{}{=\num{\fpeval{#2*#3+#4}}}}%
+      \ensuremath{\useKV[ClesAffine]{Nom}(\num{#2})=\num{#3}\times\xintifboolexpr{#2<0}{(\num{#2})}{\num{#2}}\xintifboolexpr{#4==0}{}{\xintifboolexpr{#4>0}{+\num{#4}}{-\num{\fpeval{0-#4}}}}=\num{\fpeval{#2*#3}}\xintifboolexpr{#4==0}{}{\xintifboolexpr{#4>0}{+\num{#4}}{-\num{\fpeval{0-#4}}}}\xintifboolexpr{#4==0}{}{=\num{\fpeval{#2*#3+#4}}}}%
     }{%
       \ifboolKV[ClesAffine]{ProgCalcul}{%
         \begin{align*}
-          \useKV[ClesAffine]{Nom}&:\useKV[ClesAffine]{Variable}\stackrel{\times\xintifboolexpr{#3<0}{(\num{#3})}{\num{#3}}}{\longrightarrow}\num{#3}\useKV[ClesAffine]{Variable}\xintifboolexpr{#4=0}{}{\xintifboolexpr{#4>0}{\stackrel{+\num{#4}}{\longrightarrow}}{\stackrel{\num{#4}}{\longrightarrow}}\num{#3}\useKV[ClesAffine]{Variable}\xintifboolexpr{#4=0}{}{\xintifboolexpr{#4>0}{+\num{#4}}{\num{#4}}}}\\
-          \useKV[ClesAffine]{Nom}&:\num{#2}\stackrel{\times\xintifboolexpr{#3<0}{(\num{#3})}{\num{#3}}}{\longrightarrow}\num{\fpeval{#3*#2}}\xintifboolexpr{#4=0}{}{\xintifboolexpr{#4>0}{\stackrel{+\num{#4}}{\longrightarrow}}{\stackrel{\num{#4}}{\longrightarrow}}\num{\fpeval{#3*#2+#4}}}
+          \useKV[ClesAffine]{Nom}&:\useKV[ClesAffine]{Variable}\stackrel{\times\xintifboolexpr{#3<0}{(\num{#3})}{\num{#3}}}{\longrightarrow}\num{#3}\useKV[ClesAffine]{Variable}\xintifboolexpr{#4==0}{}{\xintifboolexpr{#4>0}{\stackrel{+\num{#4}}{\longrightarrow}}{\stackrel{\num{#4}}{\longrightarrow}}\num{#3}\useKV[ClesAffine]{Variable}\xintifboolexpr{#4==0}{}{\xintifboolexpr{#4>0}{+\num{#4}}{\num{#4}}}}\\
+          \useKV[ClesAffine]{Nom}&:\num{#2}\stackrel{\times\xintifboolexpr{#3<0}{(\num{#3})}{\num{#3}}}{\longrightarrow}\num{\fpeval{#3*#2}}\xintifboolexpr{#4==0}{}{\xintifboolexpr{#4>0}{\stackrel{+\num{#4}}{\longrightarrow}}{\stackrel{\num{#4}}{\longrightarrow}}\num{\fpeval{#3*#2+#4}}}
         \end{align*}    
       }{%
         \begin{align*}
-          \useKV[ClesAffine]{Nom}(\num{#2})&=\num{#3}\times\xintifboolexpr{#2<0}{(\num{#2})}{\num{#2}}\xintifboolexpr{#4=0}{}{\xintifboolexpr{#4>0}{+\num{#4}}{-\num{\fpeval{0-#4}}}}\\
-          \useKV[ClesAffine]{Nom}(\num{#2})&=\num{\fpeval{#3*#2}}\xintifboolexpr{#4=0}{}{\xintifboolexpr{#4>0}{+\num{#4}}{-\num{\fpeval{0-#4}}}}%\\
-          \xintifboolexpr{#4=0}{}{\\
+          \useKV[ClesAffine]{Nom}(\num{#2})&=\num{#3}\times\xintifboolexpr{#2<0}{(\num{#2})}{\num{#2}}\xintifboolexpr{#4==0}{}{\xintifboolexpr{#4>0}{+\num{#4}}{-\num{\fpeval{0-#4}}}}\\
+          \useKV[ClesAffine]{Nom}(\num{#2})&=\num{\fpeval{#3*#2}}\xintifboolexpr{#4==0}{}{\xintifboolexpr{#4>0}{+\num{#4}}{-\num{\fpeval{0-#4}}}}%\\
+          \xintifboolexpr{#4==0}{}{\\
           \useKV[ClesAffine]{Nom}(\num{#2})&=\num{\fpeval{#3*#2+#4}}%\\
           }
         \end{align*}
@@ -9378,11 +9433,11 @@ Unite={},Largeur=1cm,Precision=2,Donnee=Valeurs,Effectif=Effectif,Origine=0,Angl
       \ifboolKV[ClesAffine]{ProgCalcul}{%
         La fonction affine $\useKV[ClesAffine]{Nom}$ est d\'efinie par :
         \begin{align*}
-          \useKV[ClesAffine]{Nom}&:\useKV[ClesAffine]{Variable}\stackrel{\times\xintifboolexpr{#3<0}{(\num{#3})}{\num{#3}}}{\longrightarrow}\num{#3}\useKV[ClesAffine]{Variable}\xintifboolexpr{#4=0}{}{\xintifboolexpr{#4>0}{\stackrel{+\num{#4}}{\longrightarrow}}{\stackrel{\num{#4}}{\longrightarrow}}\num{#3}\useKV[ClesAffine]{Variable}\xintifboolexpr{#4=0}{}{\xintifboolexpr{#4>0}{+\num{#4}}{\num{#4}}}}
+          \useKV[ClesAffine]{Nom}&:\useKV[ClesAffine]{Variable}\stackrel{\times\xintifboolexpr{#3<0}{(\num{#3})}{\num{#3}}}{\longrightarrow}\num{#3}\useKV[ClesAffine]{Variable}\xintifboolexpr{#4==0}{}{\xintifboolexpr{#4>0}{\stackrel{+\num{#4}}{\longrightarrow}}{\stackrel{\num{#4}}{\longrightarrow}}\num{#3}\useKV[ClesAffine]{Variable}\xintifboolexpr{#4==0}{}{\xintifboolexpr{#4>0}{+\num{#4}}{\num{#4}}}}
         \end{align*}
         Nous cherchons le nombre $\useKV[ClesAffine]{Variable}$ tel que son image par la fonction $\useKV[ClesAffine]{Nom}$ soit $\num{#2}$. Donc on obtient :
         \begin{align*}
-          \useKV[ClesAffine]{Nom}&:\frac{\num{\fpeval{#2-#4}}}{\num{#3}}\stackrel{\div\xintifboolexpr{#3<0}{(\num{#3})}{\num{#3}}}{\longleftarrow}\num{\fpeval{#2-#4}}\xintifboolexpr{#4=0}{}{\xintifboolexpr{#4>0}{\stackrel{-\num{#4}}{\longleftarrow}}{\stackrel{+\num{\fpeval{0-#4}}}{\longleftarrow}}\num{#2}}
+          \useKV[ClesAffine]{Nom}&:\frac{\num{\fpeval{#2-#4}}}{\num{#3}}\stackrel{\div\xintifboolexpr{#3<0}{(\num{#3})}{\num{#3}}}{\longleftarrow}\num{\fpeval{#2-#4}}\xintifboolexpr{#4==0}{}{\xintifboolexpr{#4>0}{\stackrel{-\num{#4}}{\longleftarrow}}{\stackrel{+\num{\fpeval{0-#4}}}{\longleftarrow}}\num{#2}}
         \end{align*}    
       }{%
         On cherche l'ant\'ec\'edent de $\num{#2}$ par la fonction
@@ -9390,12 +9445,12 @@ Unite={},Largeur=1cm,Precision=2,Donnee=Valeurs,Effectif=Effectif,Origine=0,Angl
         $\useKV[ClesAffine]{Variable}$ tel que
         $\useKV[ClesAffine]{Nom}(\useKV[ClesAffine]{Variable})=\num{#2}$. Or,
         la fonction $\useKV[ClesAffine]{Nom}$ est d\'efinie par : \[%
-          \useKV[ClesAffine]{Nom}(\useKV[ClesAffine]{Variable})=\xintifboolexpr{#3=0}{}{\num{#3}\useKV[ClesAffine]{Variable}}\xintifboolexpr{#3=0}{\num{#4}}{\xintifboolexpr{#4=0}{}{\xintifboolexpr{#4>0}{+\num{#4}}{-\num{\fpeval{0-#4}}}}}
+          \useKV[ClesAffine]{Nom}(\useKV[ClesAffine]{Variable})=\xintifboolexpr{#3==0}{}{\num{#3}\useKV[ClesAffine]{Variable}}\xintifboolexpr{#3==0}{\num{#4}}{\xintifboolexpr{#4==0}{}{\xintifboolexpr{#4>0}{+\num{#4}}{-\num{\fpeval{0-#4}}}}}
         \]
         Par cons\'equent, on a :
         \begin{align*}
-            \num{#3}\useKV[ClesAffine]{Variable}\xintifboolexpr{#4=0}{}{\xintifboolexpr{#4>0}{+\num{#4}}{-\num{\fpeval{0-#4}}}}&=\num{#2}\\
-          \xintifboolexpr{#4=0}{\useKV[ClesAffine]{Variable}\uppercase{&}=\frac{\num{#2}}{\num{#3}}%\\
+            \num{#3}\useKV[ClesAffine]{Variable}\xintifboolexpr{#4==0}{}{\xintifboolexpr{#4>0}{+\num{#4}}{-\num{\fpeval{0-#4}}}}&=\num{#2}\\
+          \xintifboolexpr{#4==0}{\useKV[ClesAffine]{Variable}\uppercase{&}=\frac{\num{#2}}{\num{#3}}%\\
           }{\num{#3}\useKV[ClesAffine]{Variable}&=\num{\fpeval{#2-#4}}\\
           \useKV[ClesAffine]{Variable}&=\frac{\num{\fpeval{#2-#4}}}{\num{#3}}%\\
           }
@@ -9420,7 +9475,7 @@ Unite={},Largeur=1cm,Precision=2,Donnee=Valeurs,Effectif=Effectif,Origine=0,Angl
         \end{align*}
         \xdef\OrdOrigine{\fpeval{#3-(#3-#5)*#2/(#2-#4)}}
         La fonction affine $\useKV[ClesAffine]{Nom}$ cherch\'ee est :
-        \[\useKV[ClesAffine]{Nom}:\useKV[ClesAffine]{Variable}\mapsto\SSimplifie{\fpeval{#3-#5}}{\fpeval{#2-#4}}\useKV[ClesAffine]{Variable}\xintifboolexpr{\OrdOrigine=0}{}{\xintifboolexpr{\OrdOrigine>0}{+\num{\OrdOrigine}}{-\num{\fpeval{0-\OrdOrigine}}}}\]
+        \[\useKV[ClesAffine]{Nom}:\useKV[ClesAffine]{Variable}\mapsto\SSimplifie{\fpeval{#3-#5}}{\fpeval{#2-#4}}\useKV[ClesAffine]{Variable}\xintifboolexpr{\OrdOrigine==0}{}{\xintifboolexpr{\OrdOrigine>0}{+\num{\OrdOrigine}}{-\num{\fpeval{0-\OrdOrigine}}}}\]
       }{%
         %
       }%
@@ -9433,17 +9488,17 @@ Unite={},Largeur=1cm,Precision=2,Donnee=Valeurs,Effectif=Effectif,Origine=0,Angl
       \MPFonctionAffine{\useKV[ClesAffine]{Unitex}}{\useKV[ClesAffine]{Unitey}}{#2}{#3}{#4}{#5}{""}}{}%
   }{}%
   \ifboolKV[ClesAffine]{Redaction}{%
-    \xintifboolexpr{#2=0}{Comme la fonction $\useKV[ClesAffine]{Nom}$
+    \xintifboolexpr{#2==0}{Comme la fonction $\useKV[ClesAffine]{Nom}$
       est une fonction constante, alors sa repr\'esentation graphique est une droite parall\`ele \`a l'axe des abscisses passant par le point de coordonn\'ees $(0;\num{#3})$.}%
-    {\xintifboolexpr{#3=0}{Comme la fonction $\useKV[ClesAffine]{Nom}$ est une fonction lin\'eaire, alors sa repr\'esentation graphique est une droite passant par l'origine du rep\`ere.\\Je choisis $\useKV[ClesAffine]{Variable}=\num{#4}$. Son image est \xdef\NomFonctionA{\useKV[ClesAffine]{Nom}}\FonctionAffine[Nom=\NomFonctionA,Image,Ligne]{#4}{#2}{#3}{#5}. On place le point de coordonn\'ees $(\num{#4};\num{\fpeval{#2*#4+#3}})$.
+    {\xintifboolexpr{#3==0}{Comme la fonction $\useKV[ClesAffine]{Nom}$ est une fonction lin\'eaire, alors sa repr\'esentation graphique est une droite passant par l'origine du rep\`ere.\\Je choisis $\useKV[ClesAffine]{Variable}=\num{#4}$. Son image est \xdef\NomFonctionA{\useKV[ClesAffine]{Nom}}\FonctionAffine[Nom=\NomFonctionA,Image,Ligne]{#4}{#2}{#3}{#5}. On place le point de coordonn\'ees $(\num{#4};\num{\fpeval{#2*#4+#3}})$.
       }{%
         Comme $\useKV[ClesAffine]{Nom}$ est une fonction affine, alors sa repr\'esentation graphique est une droite.\\Je choisis $\useKV[ClesAffine]{Variable}=\num{#4}$. Son image est \xdef\NomVariable{\useKV[ClesAffine]{Variable}}\xdef\NomFonction{\useKV[ClesAffine]{Nom}}\FonctionAffine[Nom=\NomFonction,Image,Ligne]{#4}{#2}{#3}{#5}. On place le point de coordonn\'ees $(\num{#4};\num{\fpeval{#2*#4+#3}})$.\\Je choisis \setKV[ClesAffine]{Variable=\NomVariable}$\useKV[ClesAffine]{Variable}=\num{#5}$. Son image est \FonctionAffine[Nom=\NomFonction,Image,Ligne]{#5}{#2}{#3}{#4}. On place le point de coordonn\'ees $(\num{#5};\num{\fpeval{#2*#5+#3}})$.%        
       }%
     }%
   }%
   {}%
-  \ifboolKV[ClesAffine]{Ecriture}{\ensuremath{\useKV[ClesAffine]{Nom}(\useKV[ClesAffine]{Variable})=\xintifboolexpr{#2=0}{}{\num{#2}\useKV[ClesAffine]{Variable}}\xintifboolexpr{#2=0}{\num{#3}}{\xintifboolexpr{#3=0}{}{\xintifboolexpr{#3>0}{+\num{#3}}{-\num{\fpeval{0-#3}}}}}}}{}%
-  \ifboolKV[ClesAffine]{Definition}{\ensuremath{\useKV[ClesAffine]{Nom}:\useKV[ClesAffine]{Variable}\mapsto\xintifboolexpr{#2=0}{}{\num{#2}\useKV[ClesAffine]{Variable}}\xintifboolexpr{#2=0}{\num{#3}}{\xintifboolexpr{#3=0}{}{\xintifboolexpr{#3>0}{+\num{#3}}{-\num{\fpeval{0-#3}}}}}}}{}%
+  \ifboolKV[ClesAffine]{Ecriture}{\ensuremath{\useKV[ClesAffine]{Nom}(\useKV[ClesAffine]{Variable})=\xintifboolexpr{#2==0}{}{\num{#2}\useKV[ClesAffine]{Variable}}\xintifboolexpr{#2==0}{\num{#3}}{\xintifboolexpr{#3==0}{}{\xintifboolexpr{#3>0}{+\num{#3}}{-\num{\fpeval{0-#3}}}}}}}{}%
+  \ifboolKV[ClesAffine]{Definition}{\ensuremath{\useKV[ClesAffine]{Nom}:\useKV[ClesAffine]{Variable}\mapsto\xintifboolexpr{#2==0}{}{\num{#2}\useKV[ClesAffine]{Variable}}\xintifboolexpr{#2==0}{\num{#3}}{\xintifboolexpr{#3==0}{}{\xintifboolexpr{#3>0}{+\num{#3}}{-\num{\fpeval{0-#3}}}}}}}{}%
 }%
 
 \def\MPFonctionAffine#1#2#3#4#5#6#7{%
@@ -9708,7 +9763,7 @@ Unite={},Largeur=1cm,Precision=2,Donnee=Valeurs,Effectif=Effectif,Origine=0,Angl
 %%%
 % Fonction
 %%%
-\setKVdefault[ClesFonction]{Nom=f,Variable=x,Calcul=x,Tableau=false,Largeur=5mm,Ecriture=false,Definition=false,Points=false,Tangentes=false,PasX=1,PasY=1,UniteX=1,UniteY=1,Prolonge=false}
+\setKVdefault[ClesFonction]{Nom=f,Variable=x,Calcul=x,Tableau=false,Largeur=5mm,Ecriture=false,Definition=false,Points=false,Tangentes=false,PasX=1,PasY=1,UniteX=1,UniteY=1,Prolonge=false,Trace=false}
 
 \newtoks\toklistePtsFn%pour la discipline
 
@@ -10037,48 +10092,54 @@ Unite={},Largeur=1cm,Precision=2,Donnee=Valeurs,Effectif=Effectif,Origine=0,Angl
   \fi
 }
 
-\newcommand{\Fonction}[2][]{%
+\newcommand\Fonction[2][]{%
   \useKVdefault[ClesFonction]
   \setKV[ClesFonction]{#1}
-  \ifboolKV[ClesFonction]{Points}{%
-    \toklistePtsFn{}%
-    % \setsepchar[*]{,*/}%\ignoreemptyitems%
-    \setsepchar[*]{§*/}%\ignoreemptyitems%
-    \readlist*\ListePoints{#2}%
-    \ifboolKV[ClesFonction]{Tangentes}{%
-      \foreachitem\compteur\in\ListePoints{%
-        \expandafter\UpdatePtsFn\compteur\nil%
-      }%
-      \ifboolKV[ClesFonction]{Prolonge}{%
-        \MPCourbe{\the\toklistePtsFn}{\useKV[ClesFonction]{PasX}}{\useKV[ClesFonction]{PasY}}{\useKV[ClesFonction]{UniteX}}{\useKV[ClesFonction]{UniteY}}{1}%
+  \ifboolKV[ClesFonction]{Trace}{%
+    \useKVdefault[TraceG]%
+    \setKV[TraceG]{#1}%
+    \MPTraceFonction[#1]{\useKV[ClesFonction]{Calcul}}%
+  }{%
+    \ifboolKV[ClesFonction]{Points}{%
+      \toklistePtsFn{}%
+      % \setsepchar[*]{,*/}%\ignoreemptyitems%
+      \setsepchar[*]{§*/}%\ignoreemptyitems%
+      \readlist*\ListePoints{#2}%
+      \ifboolKV[ClesFonction]{Tangentes}{%
+        \foreachitem\compteur\in\ListePoints{%
+          \expandafter\UpdatePtsFn\compteur\nil%
+        }%
+        \ifboolKV[ClesFonction]{Prolonge}{%
+          \MPCourbe{\the\toklistePtsFn}{\useKV[ClesFonction]{PasX}}{\useKV[ClesFonction]{PasY}}{\useKV[ClesFonction]{UniteX}}{\useKV[ClesFonction]{UniteY}}{1}%
+        }{%
+          \MPCourbe{\the\toklistePtsFn}{\useKV[ClesFonction]{PasX}}{\useKV[ClesFonction]{PasY}}{\useKV[ClesFonction]{UniteX}}{\useKV[ClesFonction]{UniteY}}{0}%
+        }%
       }{%
-        \MPCourbe{\the\toklistePtsFn}{\useKV[ClesFonction]{PasX}}{\useKV[ClesFonction]{PasY}}{\useKV[ClesFonction]{UniteX}}{\useKV[ClesFonction]{UniteY}}{0}%
+        \foreachitem\compteur\in\ListePoints{%
+          \expandafter\UpdatePtsFN\compteur\nil%
+        }%
+        \ifboolKV[ClesFonction]{Prolonge}{%
+          \MPCourbePoints{\the\toklistePtsFn}{\useKV[ClesFonction]{PasX}}{\useKV[ClesFonction]{PasY}}{\useKV[ClesFonction]{UniteX}}{\useKV[ClesFonction]{UniteY}}{1}%
+        }{%
+          \MPCourbePoints{\the\toklistePtsFn}{\useKV[ClesFonction]{PasX}}{\useKV[ClesFonction]{PasY}}{\useKV[ClesFonction]{UniteX}}{\useKV[ClesFonction]{UniteY}}{0}%
+        }%
       }%
     }{%
-      \foreachitem\compteur\in\ListePoints{%
-        \expandafter\UpdatePtsFN\compteur\nil%
-      }%
-      \ifboolKV[ClesFonction]{Prolonge}{%
-        \MPCourbePoints{\the\toklistePtsFn}{\useKV[ClesFonction]{PasX}}{\useKV[ClesFonction]{PasY}}{\useKV[ClesFonction]{UniteX}}{\useKV[ClesFonction]{UniteY}}{1}%
-      }{%
-        \MPCourbePoints{\the\toklistePtsFn}{\useKV[ClesFonction]{PasX}}{\useKV[ClesFonction]{PasY}}{\useKV[ClesFonction]{UniteX}}{\useKV[ClesFonction]{UniteY}}{0}%
-      }%
+      \ignoreemptyitems%
+      \readlist*\ListeFonction{#2}
+      \StrSubstitute{\useKV[ClesFonction]{Calcul}}{\useKV[ClesFonction]{Variable}}{\i}[\temp]%
+      \StrSubstitute{\useKV[ClesFonction]{Calcul}}{**}{^}[\tempa]%
+      \StrSubstitute{\tempa}{*}{}[\tempab]%
+      \ifboolKV[ClesFonction]{Ecriture}{%
+        \ensuremath{\useKV[ClesFonction]{Nom}(\useKV[ClesFonction]{Variable})=\tempab}
+      }{}%
+      \ifboolKV[ClesFonction]{Definition}{%
+        \ensuremath{\useKV[ClesFonction]{Nom}:\useKV[ClesFonction]{Variable}\mapsto\tempab}
+      }{}%
+      \ifboolKV[ClesFonction]{Tableau}{%
+        \buildtabfonction%
+      }{}%
     }%
-  }{%
-    \ignoreemptyitems%
-    \readlist*\ListeFonction{#2}
-    \StrSubstitute{\useKV[ClesFonction]{Calcul}}{\useKV[ClesFonction]{Variable}}{\i}[\temp]%
-    \StrSubstitute{\useKV[ClesFonction]{Calcul}}{**}{^}[\tempa]%
-    \StrSubstitute{\tempa}{*}{}[\tempab]%
-    \ifboolKV[ClesFonction]{Ecriture}{%
-      \ensuremath{\useKV[ClesFonction]{Nom}(\useKV[ClesFonction]{Variable})=\tempab}
-    }{}%
-    \ifboolKV[ClesFonction]{Definition}{%
-      \ensuremath{\useKV[ClesFonction]{Nom}:\useKV[ClesFonction]{Variable}\mapsto\tempab}
-    }{}%
-    \ifboolKV[ClesFonction]{Tableau}{%
-      \buildtabfonction%
-    }{}%
   }%
 }%
 
@@ -10095,6 +10156,415 @@ Unite={},Largeur=1cm,Precision=2,Donnee=Valeurs,Effectif=Effectif,Origine=0,Angl
 }
 
 %%%
+% Diff\'erentes représentations graphiques
+%%%
+\setKVdefault[TraceG]{Grille=false,Graduations=false,PasGrilleX=1,PasGrilleY=1,Xmin=-5.5,Xmax=5.5,Xstep=1,Ymin=-5.5,Ymax=5.5,Ystep=1,Bornea=-5.5,Borneb=5.5,LabelX={},LabelY={},LabelC=0.5,NomCourbe={},Origine={(5.5,5.5)},Fonction=false,Points=false,Invisible=false,CouleurPoint=red,CouleurTrace=black,Relie=false,RelieSegment=false}
+
+\newcommand\TraceGraphique[2][]{%
+  \useKVdefault[TraceG]%
+  \setKV[TraceG]{#1}%
+  \ifboolKV[TraceG]{Fonction}{%
+    \MPTraceFonction[#1]{#2}%
+  }{%
+    \setKV[TraceG]{Xmin=0,Ymin=0}
+    \setKV[TraceG]{#1}%
+    \readlist*\ListePointsPlaces{#2}%
+    \newtoks\toklistepoint%
+    \foreachitem\compteur\in\ListePointsPlaces{\expandafter\Updatetoks\compteur\nil}%
+    \MPPlacePoint[#1]{\the\toklistepoint}
+  }%
+}%
+
+\newcommand\MPPlacePoint[2][]{%
+  \ifluatex
+  \mplibforcehmode
+  \begin{mplibcode}
+    xmin=\useKV[TraceG]{Xmin};
+    xmax=\useKV[TraceG]{Xmax};
+    ymin=\useKV[TraceG]{Ymin};
+    ymax=\useKV[TraceG]{Ymax};
+    pasx=\useKV[TraceG]{Xstep};
+    pasy=\useKV[TraceG]{Ystep};
+    x.u=1cm/\useKV[TraceG]{Xstep};
+    y.u=1cm/\useKV[TraceG]{Ystep};
+    grillex=\useKV[TraceG]{PasGrilleX};
+    grilley=\useKV[TraceG]{PasGrilleY};
+    pos=\useKV[TraceG]{LabelC};
+
+    color colorpoint,colortrace;
+    colorpoint=\useKV[TraceG]{CouleurPoint};
+    colortrace=\useKV[TraceG]{CouleurTrace};
+    boolean Grille;
+    Grille=\useKV[TraceG]{Grille};
+
+    boolean Graduations;
+    Graduations=\useKV[TraceG]{Graduations};
+
+    boolean Relie;
+    Relie=\useKV[TraceG]{Relie};
+
+    boolean RelieSegment;
+    RelieSegment=\useKV[TraceG]{RelieSegment};
+
+    boolean Invisible;
+    Invisible=\useKV[TraceG]{Invisible};
+    
+    pair Origine;
+    Origine=(0,0);
+    
+    if Grille:
+    drawoptions(withcolor 0.75white);
+    for k=0 step grillex until (xmax-xmin):
+    trace (k*x.u,ypart(Origine))--(x.u*k,y.u*(ymax-ymin));
+    endfor;
+    for k=0 step grilley until (ymax-ymin):
+    trace (xpart(Origine),k*y.u)--(x.u*(xmax-xmin),y.u*k);
+    endfor;
+    drawoptions();
+    fi;
+    
+    if Graduations:
+    for k=0 step grillex until (xmax-xmin):
+    trace ((0,-0.5mm)--(0,0.5mm)) shifted ((k*x.u,0) shifted Origine) withpen pencircle scaled1.25;
+    label.bot(TEX("\num{"&decimal(xmin+k)&"}"),(k*x.u,0) shifted Origine);
+    endfor;
+    label.ulft(TEX("\num{"&decimal(ymin)&"}"),(0,0) shifted Origine);
+    for k=grilley step grilley until (ymax-ymin):
+    trace ((-0.5mm,0)--(0.5mm,0)) shifted ((0,k*y.u) shifted Origine) withpen pencircle scaled1.25;
+    label.lft(TEX("\num{"&decimal(ymin+k)&"}"),(0,k*y.u) shifted Origine);
+    endfor;
+    fi;
+    drawoptions(withpen pencircle scaled1.5);
+    drawarrow Origine--(xpart(Origine),y.u*(ymax-ymin));
+    drawarrow Origine--((xmax-xmin)*x.u,ypart(Origine));
+    drawoptions();
+
+    % On relie éventuellement les points
+    if Relie:
+    pair N[];
+    nbpoint=0;
+    for p_=#2:
+    nbpoint:=nbpoint+1;
+    N[nbpoint]=(x.u*(xpart(p_)-xmin),y.u*(ypart(p_)-ymin));
+    endfor;
+    draw N[1] for k=2 upto nbpoint:
+    ..N[k]
+    endfor withcolor colortrace;
+    fi;
+    if RelieSegment:
+    pair N[];
+    nbpoint=0;
+    for p_=#2:
+    nbpoint:=nbpoint+1;
+    N[nbpoint]=(x.u*(xpart(p_)-xmin),y.u*(ypart(p_)-ymin));
+    endfor;
+    draw N[1] for k=2 upto nbpoint:
+    --N[k]
+    endfor withcolor colortrace;
+    fi;
+    
+    % On place les points
+    if Invisible=false:
+    drawoptions(withcolor colorpoint);
+    for p_=#2:
+    dotlabel("",(x.u*(xpart(p_)-xmin),y.u*(ypart(p_)-ymin)));
+    endfor;
+    drawoptions();
+    fi;
+    %on labelise les axes
+    label.urt(btex \useKV[TraceG]{LabelX} etex,(x.u*(xmax-xmin),ypart(Origine)));
+    label.urt(btex \useKV[TraceG]{LabelY} etex,(xpart(Origine),y.u*(ymax-ymin)));
+  \end{mplibcode}
+  \else
+  \mpxcommands{%
+    \setKV[TraceG]{#1}
+  }
+  \begin{mpost}[mpsettings={xmin=\useKV[TraceG]{Xmin};xmax=\useKV[TraceG]{Xmax};ymin=\useKV[TraceG]{Ymin};ymax=\useKV[TraceG]{Ymax};pasx=\useKV[TraceG]{Xstep};pasy=\useKV[TraceG]{Ystep};xu=1cm/\useKV[TraceG]{Xstep};yu=1cm/\useKV[TraceG]{Ystep};grillex=\useKV[TraceG]{PasGrilleX};grilley=\useKV[TraceG]{PasGrilleY};pos=\useKV[TraceG]{LabelC};color colorpoint,colortrace;colorpoint=\useKV[TraceG]{CouleurPoint};colortrace=\useKV[TraceG]{CouleurTrace};boolean Grille;Grille=\useKV[TraceG]{Grille};boolean Graduations;Graduations=\useKV[TraceG]{Graduations};boolean Relie;Relie=\useKV[TraceG]{Relie};boolean RelieSegment;RelieSegment=\useKV[TraceG]{RelieSegment};boolean Invisible;Invisible=\useKV[TraceG]{Invisible};}]    
+    pair Origine;
+    Origine=(0,0);
+    
+    if Grille:
+    drawoptions(withcolor 0.75white);
+    for k=0 step grillex until (xmax-xmin):
+    trace (k*xu,ypart(Origine))--(xu*k,yu*(ymax-ymin));
+    endfor;
+    for k=0 step grilley until (ymax-ymin):
+    trace (xpart(Origine),k*yu)--(xu*(xmax-xmin),yu*k);
+    endfor;
+    drawoptions();
+    fi;
+    
+    if Graduations:
+    for k=0 step grillex until (xmax-xmin):
+    trace ((0,-0.5mm)--(0,0.5mm)) shifted ((k*xu,0) shifted Origine) withpen pencircle scaled1.25;
+    label.bot(LATEX("\num{"&decimal(xmin+k)&"}"),(k*xu,0) shifted Origine);
+    endfor;
+    label.ulft(LATEX("\num{"&decimal(ymin)&"}"),(0,0) shifted Origine);
+    for k=grilley step grilley until (ymax-ymin):
+    trace ((-0.5mm,0)--(0.5mm,0)) shifted ((0,k*yu) shifted Origine) withpen pencircle scaled1.25;
+    label.lft(LATEX("\num{"&decimal(ymin+k)&"}"),(0,k*yu) shifted Origine);
+    endfor;
+    fi;
+    drawoptions(withpen pencircle scaled1.5);
+    drawarrow Origine--(xpart(Origine),yu*(ymax-ymin));
+    drawarrow Origine--((xmax-xmin)*xu,ypart(Origine));
+    drawoptions();
+
+    % On relie éventuellement les points
+    if Relie:
+    pair N[];
+    nbpoint=0;
+    for p_=#2:
+    nbpoint:=nbpoint+1;
+    N[nbpoint]=(xu*(xpart(p_)-xmin),yu*(ypart(p_)-ymin));
+    endfor;
+    draw N[1] for k=2 upto nbpoint:
+    ..N[k]
+    endfor withcolor colortrace;
+    fi;
+    if RelieSegment:
+    pair N[];
+    nbpoint=0;
+    for p_=#2:
+    nbpoint:=nbpoint+1;
+    N[nbpoint]=(xu*(xpart(p_)-xmin),yu*(ypart(p_)-ymin));
+    endfor;
+    draw N[1] for k=2 upto nbpoint:
+    --N[k]
+    endfor withcolor colortrace;
+    fi;
+    
+    % On place les points
+    if Invisible=false:
+    drawoptions(withcolor colorpoint);
+    for p_=#2:
+    dotlabel("",(xu*(xpart(p_)-xmin),yu*(ypart(p_)-ymin)));
+    endfor;
+    drawoptions();
+    fi;
+    %on labelise les axes
+    label.urt(btex \unexpanded{\useKV[TraceG]{LabelX}} etex,(xu*(xmax-xmin),ypart(Origine)));
+    label.urt(btex \unexpanded{\useKV[TraceG]{LabelY}} etex,(xpart(Origine),yu*(ymax-ymin)));
+  \end{mpost}
+  \fi
+}
+
+\newcommand\MPTraceFonction[2][]{%
+  \ifluatex
+  \mplibforcehmode
+  \begin{mplibcode}
+    borneinf=\useKV[TraceG]{Bornea};
+    bornesup=\useKV[TraceG]{Borneb};
+    xmin=\useKV[TraceG]{Xmin};
+    xmax=\useKV[TraceG]{Xmax};
+    ymin=\useKV[TraceG]{Ymin};
+    ymax=\useKV[TraceG]{Ymax};
+    pasx=\useKV[TraceG]{Xstep};
+    pasy=\useKV[TraceG]{Ystep};
+    x.u=1cm/\useKV[TraceG]{Xstep};
+    y.u=1cm/\useKV[TraceG]{Ystep};
+    grillex=\useKV[TraceG]{PasGrilleX};
+    grilley=\useKV[TraceG]{PasGrilleY};
+    pos=\useKV[TraceG]{LabelC};
+
+    color colortrace;
+    colortrace=\useKV[TraceG]{CouleurTrace};
+    
+    pair Origine;
+    Origine=(xmin,ymin)+\useKV[TraceG]{Origine};
+
+    boolean Grille;
+    Grille=\useKV[TraceG]{Grille};
+
+    boolean Graduations;
+    Graduations=\useKV[TraceG]{Graduations};
+
+    vardef sin(expr t) = sind(c*t) enddef;
+
+    vardef cos(expr t) = cosd(c*t) enddef;
+    
+    vardef tan(expr t) = sin(t)/cos(t) enddef;
+    
+    vardef exp(expr t) = e**t enddef;
+    
+    vardef ch(expr x)=(exp(x)+exp(-x))/2 enddef;
+    
+    vardef sh(expr x)=(exp(x)-exp(-x))/2 enddef;
+    
+    vardef ln(expr t) = mlog(t)/256 enddef;
+    
+    vardef arcsin(expr x)=%Définition mathématique en radian
+    pi*angle((sqrt(1-x**2),x))/180
+    enddef;
+    
+    vardef arccos(expr x)=%Définition mathématique en radian
+    pi*angle((x,sqrt(1-x**2)))/180
+    enddef;
+    
+    path Cb[];
+    
+    vardef courbe[](expr a,b,nb)(text texte)=
+    path Courbe;
+    for i:=0 upto nb :
+    x@[i]:=(a+i*(b-a)/nb);
+    x:=x@[i];
+    y@[i]:=texte;
+    endfor ;
+    Cb@:=(x@.0*x.u,y@.0*y.u)
+    for i:=1 upto nb :
+    ..(x@[i]*x.u,y@[i]*y.u)
+    endfor;
+    Cb@:=Cb@ shifted (Origine*cm);
+    Courbe=Cb@;
+    Courbe
+    enddef;
+
+    if Grille:
+    drawoptions(withcolor 0.75white);
+    for k=xpart(Origine) step grillex until xmax:
+    trace u*(k,ymin)--u*(k,ymax);
+    endfor;
+    for k=xpart(Origine) step -grillex until xmin:
+    trace u*(k,ymin)--u*(k,ymax);
+    endfor;
+    for k=ypart(Origine) step grilley until ymax:
+    trace u*(xmin,k)--u*(xmax,k);
+    endfor;
+    for k=ypart(Origine) step -grilley until ymin:
+    trace u*(xmin,k)--u*(xmax,k);
+    endfor;
+    drawoptions();
+    fi;
+    if Graduations:
+    for k=1 upto xmax/grillex:
+    dotlabel.bot(TEX("\num{"&decimal(k)&"}"),(k*x.u+xpart(Origine*cm),ypart(Origine*cm)));
+    endfor;
+    for k=-1 downto xmin/grillex:
+    dotlabel.bot(TEX("\num{"&decimal(k)&"}"),(k*x.u+xpart(Origine*cm),ypart(Origine*cm)));
+    endfor;
+    for k=1 upto ymax/grilley:
+    dotlabel.lft(TEX("\num{"&decimal(k)&"}"),(xpart(Origine*cm),k*y.u+ypart(Origine*cm)));
+    endfor;
+    for k=-1 downto ymin/grilley:
+    dotlabel.lft(TEX("\num{"&decimal(k)&"}"),(xpart(Origine*cm),k*y.u+ypart(Origine*cm)));
+    endfor;
+    fi;
+    drawoptions(withpen pencircle scaled1.5);
+    drawarrow (u*(0,ymin)--u*(0,ymax)) shifted (u*(xpart(Origine),0));
+    drawarrow (u*(xmin,0)--u*(xmax,0)) shifted (u*(0,ypart(Origine)));
+    drawoptions();
+    draw courbe1(borneinf,bornesup,100)(#2) withcolor colortrace;
+    % labelisation
+    numeric t;
+    t=pos*length Cb1;
+    pair PT,Tangente;
+    PT:=point (pos*length Cb1) of Cb1;
+    Tangente:=unitvector(direction t of Cb1);
+    label(btex \useKV[TraceG]{NomCourbe} etex rotated angle(Tangente),PT+2mm*(Tangente rotated 90));
+    % fin labelisation
+    clip currentpicture to polygone(u*(xmin,ymin),u*(xmax,ymin),u*(xmax,ymax),u*(xmin,ymax));
+    label.rt(btex \useKV[TraceG]{LabelX} etex,u*(xmax,ypart(Origine)));
+    label.top(btex \useKV[TraceG]{LabelY} etex,u*(xpart(Origine),ymax));
+  \end{mplibcode}
+  \else
+    \mpxcommands{%
+    \setKV[TraceG]{#1}
+  }
+  \begin{mpost}[mpsettings={borneinf=\useKV[TraceG]{Bornea};bornesup=\useKV[TraceG]{Borneb};xmin=\useKV[TraceG]{Xmin};xmax=\useKV[TraceG]{Xmax};ymin=\useKV[TraceG]{Ymin};ymax=\useKV[TraceG]{Ymax};pasx=\useKV[TraceG]{Xstep};pasy=\useKV[TraceG]{Ystep};xu=1cm/\useKV[TraceG]{Xstep};yu=1cm/\useKV[TraceG]{Ystep};grillex=\useKV[TraceG]{PasGrilleX};grilley=\useKV[TraceG]{PasGrilleY};pos=\useKV[TraceG]{LabelC};color colortrace;colortrace=\useKV[TraceG]{CouleurTrace};boolean Grille;Grille=\useKV[TraceG]{Grille};boolean Graduations;Graduations=\useKV[TraceG]{Graduations};}]
+    pair Origine;
+    Origine=(xmin,ymin)+\useKV[TraceG]{Origine};
+
+    vardef sin(expr t) = sind(c*t) enddef;
+
+    vardef cos(expr t) = cosd(c*t) enddef;
+    
+    vardef tan(expr t) = sin(t)/cos(t) enddef;
+   
+    vardef exp(expr t) = e**t enddef;
+   
+    vardef ch(expr x)=(exp(x)+exp(-x))/2 enddef;
+    
+    vardef sh(expr x)=(exp(x)-exp(-x))/2 enddef;
+    
+    vardef ln(expr t) = mlog(t)/256 enddef;
+    
+    vardef arcsin(expr x)=%Définition mathématique en radian
+    pi*angle((sqrt(1-x**2),x))/180
+    enddef;
+    
+    vardef arccos(expr x)=%Définition mathématique en radian
+    pi*angle((x,sqrt(1-x**2)))/180
+    enddef;
+    
+    path Cb[];
+    
+    vardef courbe[](expr a,b,nb)(text texte)=
+    path Courbe;
+    for i:=0 upto nb :
+    x@[i]:=(a+i*(b-a)/nb);
+    x:=x@[i];
+    y@[i]:=texte;
+    endfor ;
+    Cb@:=(x@.0*xu,y@.0*yu)
+    for i:=1 upto nb :
+    ..(x@[i]*xu,y@[i]*yu)
+    endfor;
+    Cb@:=Cb@ shifted (Origine*cm);
+    Courbe=Cb@;
+    Courbe
+    enddef;
+
+    if Grille:
+    drawoptions(withcolor 0.75white);
+    for k=xpart(Origine) step grillex until xmax:
+    trace u*(k,ymin)--u*(k,ymax);
+    endfor;
+    for k=xpart(Origine) step -grillex until xmin:
+    trace u*(k,ymin)--u*(k,ymax);
+    endfor;
+    for k=ypart(Origine) step grilley until ymax:
+    trace u*(xmin,k)--u*(xmax,k);
+    endfor;
+    for k=ypart(Origine) step -grilley until ymin:
+    trace u*(xmin,k)--u*(xmax,k);
+    endfor;
+    drawoptions();
+    fi;
+    if Graduations:
+    for k=1 upto xmax/grillex:
+    dotlabel.bot(LATEX("\num{"&decimal(k)&"}"),(k*xu+xpart(Origine*cm),ypart(Origine*cm)));
+    endfor;
+    for k=-1 downto xmin/grillex:
+    dotlabel.bot(LATEX("\num{"&decimal(k)&"}"),(k*xu+xpart(Origine*cm),ypart(Origine*cm)));
+    endfor;
+    for k=1 upto ymax/grilley:
+    dotlabel.lft(LATEX("\num{"&decimal(k)&"}"),(xpart(Origine*cm),k*yu+ypart(Origine*cm)));
+    endfor;
+    for k=-1 downto ymin/grilley:
+    dotlabel.lft(LATEX("\num{"&decimal(k)&"}"),(xpart(Origine*cm),k*yu+ypart(Origine*cm)));
+    endfor;
+    fi;
+    drawoptions(withpen pencircle scaled1.5);
+    drawarrow (u*(0,ymin)--u*(0,ymax)) shifted (u*(xpart(Origine),0));
+    drawarrow (u*(xmin,0)--u*(xmax,0)) shifted (u*(0,ypart(Origine)));
+    drawoptions();
+    draw courbe1(borneinf,bornesup,100)(#2) withcolor colortrace;
+%    % labelisation
+    numeric t;
+    t=pos*length Cb1;
+    pair PT,Tangente;
+    PT:=point (pos*length Cb1) of Cb1;
+    Tangente:=unitvector(direction t of Cb1);
+    label(btex \noexpand\useKV[TraceG]{NomCourbe} etex rotated angle(Tangente),PT+2mm*(Tangente rotated 90));
+%    % fin labelisation
+    clip currentpicture to polygone(u*(xmin,ymin),u*(xmax,ymin),u*(xmax,ymax),u*(xmin,ymax));
+    label.rt(btex \useKV[TraceG]{LabelX} etex,u*(xmax,ypart(Origine)));
+    label.top(btex \useKV[TraceG]{LabelY} etex,u*(xpart(Origine),ymax));
+  \end{mpost}
+  \fi
+}
+
+%%%
 % Formules
 %%%
 \setKVdefault[ClesFormule]{Perimetre=false,Aire=false,Volume=false,Surface=carr\'e,Solide=pav\'e,Angle=0,Ancre={(0,0)},Largeur=5cm,Couleur=white}
@@ -12906,7 +13376,7 @@ Unite={},Largeur=1cm,Precision=2,Donnee=Valeurs,Effectif=Effectif,Origine=0,Angl
 %%%
 \newcommand\Puissances[2]{%
   \ensuremath{%
-    \xintifboolexpr{#2=0}{1}{\xintifboolexpr{#2>0}{\xdef\total{\fpeval{#2-1}}#1\multido{\i=1+1}{\total}{\times#1}}{\xdef\total{\fpeval{-#2-1}}\frac{1}{#1\multido{\i=1+1}{\total}{\times#1}}}}%
+    \xintifboolexpr{#2==0}{1}{\xintifboolexpr{#2>0}{\xdef\total{\fpeval{#2-1}}#1\multido{\i=1+1}{\total}{\times#1}}{\xdef\total{\fpeval{-#2-1}}\frac{1}{#1\multido{\i=1+1}{\total}{\times#1}}}}%
   }%
 }
 
@@ -13870,7 +14340,7 @@ Unite={},Largeur=1cm,Precision=2,Donnee=Valeurs,Effectif=Effectif,Origine=0,Angl
     };
     \node[yshift=-0.65cm] (T2b) at (T2){};
     \ifboolKV[Cards]{Titre}{\node[] at (T2b) {\tiny\useKV[Cards]{NomTitre}};}{},
-    \node[rectangle,xshift=5mm,yshift=4.25mm,minimum width=2em,rounded corners,fill=TrameCouleur,draw=black] (R) at (frame.south west) {\color{black}\Large\bfseries #3};
+    \node[rectangle,xshift=5pt,yshift=4.25mm,minimum width=2em,rounded corners,fill=TrameCouleur,draw=black,anchor=west] (R) at (frame.south west) {\color{black}\Large\bfseries #3};
     \draw[dashed] (S1) -- (S2);
   },
   colback=white,
@@ -14124,7 +14594,7 @@ Unite={},Largeur=1cm,Precision=2,Donnee=Valeurs,Effectif=Effectif,Origine=0,Angl
 \long\def\ifremain@lines#1\\#2\@nil{%
 	\csname @\ifx\@empty#2\@empty second\else first\fi oftwo\endcsname}
 \long\def\subst@eol#1\\#2\@nil{\addtot@b{#1\\}%
-  	\ifremain@lines#2\\\@nil{\addtot@b&\subst@eol#2\@nil}{\addtot@b{#2\CodeAfter\xintifboolexpr{\useKV[Tableur]{Ligne}=0 || \useKV[Tableur]{Colonne}=0}{}{\tikz\draw[line width=2pt](row-\fpeval{\useKV[Tableur]{Ligne}+1}-|col-\fpeval{\useKV[Tableur]{Colonne}+1}) rectangle (row-\fpeval{\useKV[Tableur]{Ligne}+1+\useKV[Tableur]{PasL}}-|col-\fpeval{\useKV[Tableur]{Colonne}+1+\useKV[Tableur]{PasC}});}\end{NiceTabular}}}}
+  	\ifremain@lines#2\\\@nil{\addtot@b&\subst@eol#2\@nil}{\addtot@b{#2\CodeAfter\xintifboolexpr{\useKV[Tableur]{Ligne}==0 || \useKV[Tableur]{Colonne}==0}{}{\tikz\draw[line width=2pt](row-\fpeval{\useKV[Tableur]{Ligne}+1}-|col-\fpeval{\useKV[Tableur]{Colonne}+1}) rectangle (row-\fpeval{\useKV[Tableur]{Ligne}+1+\useKV[Tableur]{PasL}}-|col-\fpeval{\useKV[Tableur]{Colonne}+1+\useKV[Tableur]{PasC}});}\end{NiceTabular}}}}
 \long\def\collectcp@body#1\end{\subst@eol#1\@nil\end}
 
 \newcommand\addtot@b[1]{\t@b\expandafter{\the\t@b#1}}