Answer:
{-7/2,0}
Step-by-step explanation:
(x+2)(2x+3)=6
FOIL
first 2x^2
outer 3x
inner 4x
last 6
2x^2 +7x+6
2x^2 +7x+6 = 6
Subtract 6 from each side
2x^2 +7x+6-6 = 6-6
2x^2 +7x =0
Factor out x
x(2x+7) =0
Using the zero product property
x=0 2x+7 =0
x=0 2x=-7
x=0 x = -7/2
