Solve for M
\left\{\begin{matrix}\\M=0\text{, }&\text{unconditionally}\\M\in \mathrm{R}\text{, }&O=1\end{matrix}\right.
Solve for O
\left\{\begin{matrix}\\O=1\text{, }&\text{unconditionally}\\O\in \mathrm{R}\text{, }&M=0\end{matrix}\right.
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M-MO=0
Subtract MO from both sides.
\left(1-O\right)M=0
Combine all terms containing M.
M=0
Divide 0 by 1-O.
MO=M
Swap sides so that all variable terms are on the left hand side.
\frac{MO}{M}=\frac{M}{M}
Divide both sides by M.
O=\frac{M}{M}
Dividing by M undoes the multiplication by M.
O=1
Divide M by M.
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