Solve A=2s^2+4sh

$$A = 2 s ^ { 2 } + 4 s h$$

Solve for h

$$\left\{\begin{matrix}h=-\frac{s}{2}+\frac{A}{4s}\text{, }&s\neq 0\\h\in \mathrm{R}\text{, }&A=0\text{ and }s=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Swap sides so that all variable terms are on the left hand side.

$$2s^{2}+4sh=A$$

Subtract 2s^{2} from both sides.

$$4sh=A-2s^{2}$$

Divide both sides by 4s.

$$\frac{4sh}{4s}=\frac{A-2s^{2}}{4s}$$

Dividing by 4s undoes the multiplication by 4s.

$$h=\frac{A-2s^{2}}{4s}$$

Divide A-2s^{2} by 4s.

$$h=-\frac{s}{2}+\frac{A}{4s}$$

Solve for A

$$A=2s\left(s+2h\right)$$