Question

Answer this question (x −2)(x + 5) = 18

Answer 1

x=-7 x=4

Explanation:

(x −2)(x + 5) = 18

Foil

x^2 +5x-2x-10 = 18

Combine like terms

x^2 +3x -10 =18

Subtract 18 from each side

x^2 +3x -28 = 0

Factor

What two numbers multiply to -28 and add to 3: 7 and -4

(x+7) (x-4) =0

Using the zero product property

x+7=0 x-4 =0

x=-7 x=4