Question

Solve using equation using Zero Product Property.
(2x+6)(3x-6)=0
A.3 and 2
B.-3 and -2
C.-3 and 2
D.3 and -2

Answer 1

The zero product property is that if a product equals zero, then one of its factors equals zero.
Using the zero product property means that you set each factor equal to zero, and find which values of x cause the factors to equal zero.
Solve
2x + 6 = 0 for x, and
solve 3x - 6 = 0 for x.

Answer 2

Then after that?

Answer 3

Can you solve 2x + 6 = 0 for x?

Answer 4

Honestly I would have to look it up

Answer 5

Ok, let's go over it together.
Here is what solving your problem should look like.

Answer 6

\((2x+6)(3x-6)=0\)

\(2x + 6 = 0 ~~~~~or~~~~~3x - 6 = 0\)

\(2x = -6~~~~~~~~~or~~~~~~~3x = 6\)

\(x = -3~~~~~~~~~~~or~~~~~~~~x = 2\)

Answer 7

That was so easy!

Answer 8

The first step is to separate the product equaling zero into two simpler equation, each one equaling zero.
Then we solve each equation.
For 2x + 6 = 0, first we subtract 6 from both sides, then we divide both sides by 2.
For 3x - 6 = 0, first we add 6 to both sides, then we divide both sides by 3.
Then we write teh solutions to both equations separated by the word "or".

Answer 9

Now that you see the method, perhaps next time you'll be able to do it yourself.

Answer 10

Yeah I get how to do it now. Thank you very much!!

Answer 11

You're welcome.