solve using the zero product property
(2x+6)(3x-6)
First, we need to set each factor equal to zero and solve for x using basic algebra:
2x+6 = 0 or 3x-6 = 0
Simplifying each equation:
2x = -6 or 3x = 6
Dividing both sides by 2 or 3:
x = -3 or x = 2
These are the two possible values of x that make the original expression equal to zero, according to the zero product property.