Solve x^2+8x-30=(x+5)(x+6)

$$x ^ { 2 } + 8 x - 30 = ( x + 5 ) ( x + 6 )$$

Solve for x

$$x=-20$$

Steps for Solving Linear Equation

Use the distributive property to multiply x+5 by x+6 and combine like terms.

$$x^{2}+8x-30=x^{2}+11x+30$$

Subtract x^{2} from both sides.

$$x^{2}+8x-30-x^{2}=11x+30$$

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

$$8x-30=11x+30$$

Subtract 11x from both sides.

$$8x-30-11x=30$$

Combine 8x and -11x to get -3x.

$$-3x-30=30$$

Add 30 to both sides.

$$-3x=30+30$$

Add 30 and 30 to get 60.

$$-3x=60$$

Divide both sides by -3.

$$x=\frac{60}{-3}$$

Divide 60 by -3 to get -20.

$$x=-20$$