Question

Find one value of x that is a solution to the equation:
(2x + 3)2 – 4(2x + 3) - 12 = 0

Answer 1

x = 3/2

Explanation:

(2x + 3)2 – 4(2x + 3) - 12 = 0

Simplify the equation then isolate for x.

Distribute over brackets:

(4x + 6) – (8x + 12) - 12 = 0

Combine like terms:

4x + 6 – 8x + 12 - 12 = 0

6 - 4x = 0

Isolate x:

6 = 4x

6/4 = x

Reduce the fraction:

6/4 = x <= divide top and bottom by "scale factor" of 2

3/2 = x

x = 3/2 <= having x on the left side is standard