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Dimas [21]
3 years ago
15

Use the zero product property to find the solutions to the equation (x+2)(x+3)=12

Mathematics
1 answer:
Rainbow [258]3 years ago
4 0

Answer:

<em>x=-6, x=1</em>

Step-by-step explanation:

<u>The zero product property</u>

It states that if a.b=0, then it must be satisfied that a=0 or b=0. It's commonly used to solve equations where one of the sides is 0.

The given equation is:

(x+2)(x+3)=12

Since neither side is 0, we operate the expression:

x^2+3x+2x+6=12

Moving 12 to the left side and simplifying:

x^2+3x+2x+6-12=0

x^2+5x-6=0

Factoring:

(x+6)(x-1)=0

Now, since there is zero on the right side, we apply the property to solve:

x+6=0, or x-1=0

The two solutions come directly:

x=-6, x=1

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