Solve for r
\left\{\begin{matrix}r=\frac{A}{x^{2}}\text{, }&x\neq 0\\r\in \mathrm{R}\text{, }&A=0\text{ and }x=0\end{matrix}\right.
Solve for A
A=rx^{2}
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rx^{2}=A
Swap sides so that all variable terms are on the left hand side.
x^{2}r=A
The equation is in standard form.
\frac{x^{2}r}{x^{2}}=\frac{A}{x^{2}}
Divide both sides by x^{2}.
r=\frac{A}{x^{2}}
Dividing by x^{2} undoes the multiplication by x^{2}.
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