Answer:
x = -3/2 x =0
Step-by-step explanation:
(2x+3) ^2 - 6x-9 = 0
Factor out -3 from the last 2 terms
(2x+3) ^2 - 3( 2x+3) = 0
Let m = 2x+3
m^2 - 3m = 0
Factor out m
m(m-3) =0
Using the zero product property
m=0 m-3 =0
m=0 m=3
Substitute 2x+3 back in for m since we are looking for the value of x
2x+3 =0 2x+3 =3
2x +3-3=0-3 2x+3-3=3-3
2x = -3 2x=0
x = -3/2 x =0
