Answer:
x= -7 x=3
Step-by-step explanation:
(x-2)(x+5)=18
FOIL
x^2 +5x -2x-10 = 18
Subtract 18 from each side
x^2 +5x -2x-10-18 = 18-18
x^2 +3x -28 =0
Factor
What 2 numbers multiply to -28 and add to 3
7*-4 = -28
7-4 =3
(x+7) (x-3) =0
Using the zero product property
x+7 =0 x-3 =0
x= -7 x=3