Solve for M
\left\{\begin{matrix}M=\frac{Fr^{2}}{6m}\text{, }&m\neq 0\text{ and }r\neq 0\\M\in \mathrm{R}\text{, }&F=0\text{ and }m=0\text{ and }r\neq 0\end{matrix}\right.
Solve for F
F=\frac{6Mm}{r^{2}}
r\neq 0
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Fr^{2}=6mM
Multiply both sides of the equation by r^{2}.
6mM=Fr^{2}
Swap sides so that all variable terms are on the left hand side.
\frac{6mM}{6m}=\frac{Fr^{2}}{6m}
Divide both sides by 6m.
M=\frac{Fr^{2}}{6m}
Dividing by 6m undoes the multiplication by 6m.
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