Answer:
x = 3/2 x = -5/2
Step-by-step explanation:
(2x+3) ^2 - 4(2x+3) - 12 = 0
Let m = 2x+3
m^2 - 4m - 12 = 0
Factor
(m-6) (m+2) = 0
Using the zero product property
m-6 = 0 m+2 =0
m = 6 m = -2
Substitute m = 2x+3 back into the equation
2x+3 = 6 2x+3 = -2
2x = 3 2x = -5
x = 3/2 x = -5/2
