Solve x^2+5n+36=0

$${ x }^{ 2 } +5n+36 = 0$$

Solve for n

$$n=\frac{-x^{2}-36}{5}$$

Steps for Solving Linear Equation

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

$$5n+36=-x^{2}$$

Subtract 36 from both sides.

$$5n=-x^{2}-36$$

Divide both sides by 5.

$$\frac{5n}{5}=\frac{-x^{2}-36}{5}$$

Dividing by 5 undoes the multiplication by 5.

$$n=\frac{-x^{2}-36}{5}$$

Solve for x (complex solution)

$$x=-\sqrt{-5n-36}$$

$$x=\sqrt{-5n-36}$$

Solve for x

$$x=\sqrt{-5n-36}$$

$$x=-\sqrt{-5n-36}\text{, }n\leq -\frac{36}{5}$$