Solve for M (complex solution)
\left\{\begin{matrix}\\M=1\text{, }&\text{unconditionally}\\M\in \mathrm{C}\text{, }&v=0\end{matrix}\right.
Solve for v (complex solution)
\left\{\begin{matrix}\\v=0\text{, }&\text{unconditionally}\\v\in \mathrm{C}\text{, }&M=1\end{matrix}\right.
Solve for M
\left\{\begin{matrix}\\M=1\text{, }&\text{unconditionally}\\M\in \mathrm{R}\text{, }&v=0\end{matrix}\right.
Solve for v
\left\{\begin{matrix}\\v=0\text{, }&\text{unconditionally}\\v\in \mathrm{R}\text{, }&M=1\end{matrix}\right.
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vM=v
The equation is in standard form.
\frac{vM}{v}=\frac{v}{v}
Divide both sides by v.
M=\frac{v}{v}
Dividing by v undoes the multiplication by v.
M=1
Divide v by v.
Mv-v=0
Subtract v from both sides.
\left(M-1\right)v=0
Combine all terms containing v.
v=0
Divide 0 by -1+M.
vM=v
The equation is in standard form.
\frac{vM}{v}=\frac{v}{v}
Divide both sides by v.
M=\frac{v}{v}
Dividing by v undoes the multiplication by v.
M=1
Divide v by v.
Mv-v=0
Subtract v from both sides.
\left(M-1\right)v=0
Combine all terms containing v.
v=0
Divide 0 by -1+M.
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