Solve for A
\left\{\begin{matrix}A=\frac{P}{gh\rho }\text{, }&g\neq 0\text{ and }\rho \neq 0\text{ and }h\neq 0\\A\in \mathrm{R}\text{, }&\left(g=0\text{ or }\rho =0\text{ or }h=0\right)\text{ and }P=0\end{matrix}\right.
Solve for P
P=Agh\rho
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Ah\rho g=P
Swap sides so that all variable terms are on the left hand side.
gh\rho A=P
The equation is in standard form.
\frac{gh\rho A}{gh\rho }=\frac{P}{gh\rho }
Divide both sides by h\rho g.
A=\frac{P}{gh\rho }
Dividing by h\rho g undoes the multiplication by h\rho g.
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