Solve x^2+6x+9=(x+3)(x-8)

$$x ^ { 2 } + 6 x + 9 = ( x + 3 ) ( x - 8 )$$

Solve for x

$$x=-3$$

Steps for Solving Linear Equation

Use the distributive property to multiply x+3 by x-8 and combine like terms.

$$x^{2}+6x+9=x^{2}-5x-24$$

Subtract x^{2} from both sides.

$$x^{2}+6x+9-x^{2}=-5x-24$$

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

$$6x+9=-5x-24$$

Add 5x to both sides.

$$6x+9+5x=-24$$

Combine 6x and 5x to get 11x.

$$11x+9=-24$$

Subtract 9 from both sides.

$$11x=-24-9$$

Subtract 9 from -24 to get -33.

$$11x=-33$$

Divide both sides by 11.

$$x=\frac{-33}{11}$$

Divide -33 by 11 to get -3.

$$x=-3$$