Solve (x*4h)(1/3yh)=3.2

$$( x \times 4 h ) ( \frac { 1 } { 3 } y h ) = 3.2$$

Solve for x

$$x=\frac{12}{5yh^{2}}$$

$$h\neq 0\text{ and }y\neq 0$$

Steps for Solving Linear Equation

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

$$x\times 4h^{2}\times \frac{1}{3}y=3.2$$

Multiply 4 and \frac{1}{3} to get \frac{4}{3}.

$$x\times \frac{4}{3}h^{2}y=3.2$$

The equation is in standard form.

$$\frac{4yh^{2}}{3}x=3.2$$

Divide both sides by \frac{4}{3}h^{2}y.

$$\frac{3\times \frac{4yh^{2}}{3}x}{4yh^{2}}=\frac{3\times 3.2}{4yh^{2}}$$

Dividing by \frac{4}{3}h^{2}y undoes the multiplication by \frac{4}{3}h^{2}y.

$$x=\frac{3\times 3.2}{4yh^{2}}$$

Divide 3.2 by \frac{4}{3}h^{2}y.

$$x=\frac{12}{5yh^{2}}$$

Solve for h

$$h=\frac{2\sqrt{\frac{15}{xy}}}{5}$$

$$h=-\frac{2\sqrt{\frac{15}{xy}}}{5}\text{, }\left(y>0\text{ and }x>0\right)\text{ or }\left(x<0\text{ and }y<0\right)$$