solve using the zero product property

Question

(2x+6)(3x-6)

Answer 1

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.