Solve q^2=1/5h

$$q ^ { 2 } = \frac { 1 } { 5 h }$$

Solve for h

$$h=\frac{1}{5q^{2}}$$

$$q\neq 0$$

Steps for Solving Linear Equation

Variable h cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 5h.

$$5hq^{2}=1$$

The equation is in standard form.

$$5q^{2}h=1$$

Divide both sides by 5q^{2}.

$$\frac{5q^{2}h}{5q^{2}}=\frac{1}{5q^{2}}$$

Dividing by 5q^{2} undoes the multiplication by 5q^{2}.

$$h=\frac{1}{5q^{2}}$$

Variable h cannot be equal to 0.

$$h=\frac{1}{5q^{2}}\text{, }h\neq 0$$

Solve for q (complex solution)

$$q=-\frac{\sqrt{5}h^{-\frac{1}{2}}}{5}$$

$$q=\frac{\sqrt{5}h^{-\frac{1}{2}}}{5}\text{, }h\neq 0$$

Solve for q

$$q=\frac{\sqrt{\frac{5}{h}}}{5}$$

$$q=-\frac{\sqrt{\frac{5}{h}}}{5}\text{, }h>0$$