Solve m^2+8n+16=0

$$m ^ { 2 } + 8 n + 16 = 0$$

Solve for n

$$n=-\frac{m^{2}}{8}-2$$

Steps for Solving Linear Equation

Subtract m^{2} from both sides. Anything subtracted from zero gives its negation.

$$8n+16=-m^{2}$$

Subtract 16 from both sides.

$$8n=-m^{2}-16$$

Divide both sides by 8.

$$\frac{8n}{8}=\frac{-m^{2}-16}{8}$$

Dividing by 8 undoes the multiplication by 8.

$$n=\frac{-m^{2}-16}{8}$$

Divide -m^{2}-16 by 8.

$$n=-\frac{m^{2}}{8}-2$$

Solve for m (complex solution)

$$m=-2\sqrt{-2n-4}$$

$$m=2\sqrt{-2n-4}$$

Solve for m

$$m=2\sqrt{-2n-4}$$

$$m=-2\sqrt{-2n-4}\text{, }n\leq -2$$