Solve n^2+5m+3=0

$$n ^ { 2 } + 5 m + 3 = 0$$

Solve for m

$$m=\frac{-n^{2}-3}{5}$$

Steps for Solving Linear Equation

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

$$5m+3=-n^{2}$$

Subtract 3 from both sides.

$$5m=-n^{2}-3$$

Divide both sides by 5.

$$\frac{5m}{5}=\frac{-n^{2}-3}{5}$$

Dividing by 5 undoes the multiplication by 5.

$$m=\frac{-n^{2}-3}{5}$$

Solve for n (complex solution)

$$n=-\sqrt{-5m-3}$$

$$n=\sqrt{-5m-3}$$

Solve for n

$$n=\sqrt{-5m-3}$$

$$n=-\sqrt{-5m-3}\text{, }m\leq -\frac{3}{5}$$