Solve for a
\left\{\begin{matrix}a=-\frac{iA}{eou}\text{, }&u\neq 0\text{ and }o\neq 0\\a\in \mathrm{C}\text{, }&\left(o=0\text{ or }u=0\right)\text{ and }A=0\end{matrix}\right.
Solve for A
A=eiaou
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aeiou=A
Swap sides so that all variable terms are on the left hand side.
eioua=A
The equation is in standard form.
\frac{eioua}{eiou}=\frac{A}{eiou}
Divide both sides by ieou.
a=\frac{A}{eiou}
Dividing by ieou undoes the multiplication by ieou.
a=-\frac{iA}{eou}
Divide A by ieou.
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