Solve for G
\left\{\begin{matrix}G=\frac{Fr^{2}}{Mn}\text{, }&M\neq 0\text{ and }n\neq 0\text{ and }r\neq 0\\G\in \mathrm{R}\text{, }&\left(M=0\text{ or }n=0\right)\text{ and }F=0\text{ and }r\neq 0\end{matrix}\right.
Solve for F
F=\frac{GMn}{r^{2}}
r\neq 0
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Fr^{2}=GnM
Multiply both sides of the equation by r^{2}.
GnM=Fr^{2}
Swap sides so that all variable terms are on the left hand side.
MnG=Fr^{2}
The equation is in standard form.
\frac{MnG}{Mn}=\frac{Fr^{2}}{Mn}
Divide both sides by nM.
G=\frac{Fr^{2}}{Mn}
Dividing by nM undoes the multiplication by nM.
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