Solve for H
\left\{\begin{matrix}H=-a+\frac{A}{p}\text{, }&p\neq 0\\H\in \mathrm{R}\text{, }&A=0\text{ and }p=0\end{matrix}\right.
Solve for A
A=p\left(H+a\right)
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ap+pH=A
Swap sides so that all variable terms are on the left hand side.
pH=A-ap
Subtract ap from both sides.
\frac{pH}{p}=\frac{A-ap}{p}
Divide both sides by p.
H=\frac{A-ap}{p}
Dividing by p undoes the multiplication by p.
H=-a+\frac{A}{p}
Divide A-ap by p.
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