To simplify, let’s distribute the 4 through the first binomial:
4(x+3)=4x+12
We now have the equivalent equation:
(4x+12)(x-2)=0
We can apply the zero product property which states that if a•b=0, then a=0 or b=0:
4x+12=0
Solve for x:
4x=-12
x=-12/4
x=-3
(x-2) may also equal zero, so let’s find x that would equate to zero:
x-2=0
Solve for x:
x=2
Therefore the solution is: x = -3, 2