Question

solve (x+2)(2x+3)=6
{-2,3/2}
{-7/2,0}
{0}

Answer 1

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