Solve for a
\left\{\begin{matrix}a=\frac{b-nx^{2}}{m}\text{, }&b\neq nx^{2}\text{ and }m\neq 0\\a\neq 0\text{, }&m=0\text{ and }b=nx^{2}\end{matrix}\right.
Solve for b
b=nx^{2}+am
a\neq 0
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b-nx^{2}=ma
Variable a cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by a.
ma=b-nx^{2}
Swap sides so that all variable terms are on the left hand side.
\frac{ma}{m}=\frac{b-nx^{2}}{m}
Divide both sides by m.
a=\frac{b-nx^{2}}{m}
Dividing by m undoes the multiplication by m.
a=\frac{b-nx^{2}}{m}\text{, }a\neq 0
Variable a cannot be equal to 0.
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