Solve S=1/2bh[h]

$$S = \frac { 1 } { 2 } b h [ h ]$$

Solve for b

$$\left\{\begin{matrix}b=\frac{2S}{h^{2}}\text{, }&h\neq 0\\b\in \mathrm{R}\text{, }&S=0\text{ and }h=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Multiply h and h to get h^{2}.

$$S=\frac{1}{2}bh^{2}$$

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

$$\frac{1}{2}bh^{2}=S$$

The equation is in standard form.

$$\frac{h^{2}}{2}b=S$$

Divide both sides by \frac{1}{2}h^{2}.

$$\frac{2\times \frac{h^{2}}{2}b}{h^{2}}=\frac{2S}{h^{2}}$$

Dividing by \frac{1}{2}h^{2} undoes the multiplication by \frac{1}{2}h^{2}.

$$b=\frac{2S}{h^{2}}$$

Solve for S

$$S=\frac{bh^{2}}{2}$$

Solution Steps

Multiply h and h to get h^{2}.

$$S=\frac{1}{2}bh^{2}$$