Solve x^2+5n+3=17

$$x ^ { 2 } + 5 n + 3 = 17$$

Solve for n

$$n=\frac{14-x^{2}}{5}$$

Steps for Solving Linear Equation

Subtract x^{2} from both sides.

$$5n+3=17-x^{2}$$

Subtract 3 from both sides.

$$5n=17-x^{2}-3$$

Subtract 3 from 17 to get 14.

$$5n=14-x^{2}$$

Divide both sides by 5.

$$\frac{5n}{5}=\frac{14-x^{2}}{5}$$

Dividing by 5 undoes the multiplication by 5.

$$n=\frac{14-x^{2}}{5}$$

Solve for x (complex solution)

$$x=-\sqrt{14-5n}$$

$$x=\sqrt{14-5n}$$

Solve for x

$$x=\sqrt{14-5n}$$

$$x=-\sqrt{14-5n}\text{, }n\leq \frac{14}{5}$$