Solve x^2+17=(x+5)(x-2)

$${ x }^{ 2 } +17=(x+5)(x-2)$$

Solve for x

$$x=9$$

Steps for Solving Linear Equation

Use the distributive property to multiply x+5 by x-2 and combine like terms.

$$x^{2}+17=x^{2}+3x-10$$

Subtract x^{2} from both sides.

$$x^{2}+17-x^{2}=3x-10$$

Combine x^{2} and -x^{2} to get 0.

$$17=3x-10$$

Swap sides so that all variable terms are on the left hand side.

$$3x-10=17$$

Add 10 to both sides.

$$3x=17+10$$

Add 17 and 10 to get 27.

$$3x=27$$

Divide both sides by 3.

$$x=\frac{27}{3}$$

Divide 27 by 3 to get 9.

$$x=9$$