Question

Solve the equation using the Zero Product Property. (2x + 6)(3x – 6) = 0

Answer 1

Answer:

The solution to the equation  (2x + 6)(3x – 6) = 0 is -3 and 2      

Step-by-step explanation:

Given :  (2x + 6)(3x – 6) = 0

We have to find the solution for the given equation using zero-product property.

Zero product property states that for any two number a and b the following holds,

$a\cdot b =0 \Rightarrow a=0 \ or \ b=0$

thus, Consider the given (2x + 6)(3x – 6) = 0  

Apply zero product property, we have.

(2x + 6)= 0 or (3x – 6) = 0  

Simplify, for x,

x = -3  or x = 2

Thus, The solution to the equation  (2x + 6)(3x – 6) = 0 is -3 and 2

Answer 2

If we use the zero product property it basically means this: We have (2x + 6) (3x -6) = 0 Meaning that 2x + 6 = 0 AND 3x - 6 = 0 So now for each case solve for x :)

your answer is -3