Solve 48=2s^2+3sh

$$48 = 2 s ^ { 2 } + 3 s h$$

Solve for h

$$h=-\frac{2s}{3}+\frac{16}{s}$$

$$s\neq 0$$

Steps for Solving Linear Equation

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

$$2s^{2}+3sh=48$$

Subtract 2s^{2} from both sides.

$$3sh=48-2s^{2}$$

Divide both sides by 3s.

$$\frac{3sh}{3s}=\frac{48-2s^{2}}{3s}$$

Dividing by 3s undoes the multiplication by 3s.

$$h=\frac{48-2s^{2}}{3s}$$

Divide 48-2s^{2} by 3s.

$$h=-\frac{2s}{3}+\frac{16}{s}$$

Solve for s

$$s=\frac{-\sqrt{9h^{2}+384}-3h}{4}$$

$$s=\frac{\sqrt{9h^{2}+384}-3h}{4}$$