Solve for I_e
\left\{\begin{matrix}I_{e}=\frac{E}{M\Omega }\text{, }&M\neq 0\text{ and }\Omega \neq 0\\I_{e}\in \mathrm{R}\text{, }&\left(M=0\text{ or }\Omega =0\right)\text{ and }E=0\end{matrix}\right.
Solve for E
E=I_{e}M\Omega
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\Omega MI_{e}=E
Swap sides so that all variable terms are on the left hand side.
M\Omega I_{e}=E
The equation is in standard form.
\frac{M\Omega I_{e}}{M\Omega }=\frac{E}{M\Omega }
Divide both sides by \Omega M.
I_{e}=\frac{E}{M\Omega }
Dividing by \Omega M undoes the multiplication by \Omega M.
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