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