Solve for g
\left\{\begin{matrix}g=\frac{k}{am}\text{, }&k\neq 0\text{ and }m\neq 0\text{ and }a\neq 0\\g\neq 0\text{, }&a=0\text{ and }k=0\text{ and }m\neq 0\end{matrix}\right.
Solve for a
a=\frac{k}{gm}
g\neq 0\text{ and }m\neq 0
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agm=k
Variable g cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by gm.
amg=k
The equation is in standard form.
\frac{amg}{am}=\frac{k}{am}
Divide both sides by am.
g=\frac{k}{am}
Dividing by am undoes the multiplication by am.
g=\frac{k}{am}\text{, }g\neq 0
Variable g cannot be equal to 0.
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