Answer:
x = -5/2 or 3/2
Explanation:
If we let z = 2x+3, the equation can be written ...
... z² -4z -12 = 0
and can be factored as
... (z -6)(z +2) = 0
Then the solutions are z = -2, z = 6.
This means the values of x that are solutions are ...
... 2x +3 = {-2, 6} . . . . work with both possibilities at once
... 2x = {-5, 3} . . . . . . . subtract 3
... x = {-5/2, 3/2} . . . . .divide by 2