Question

(A) Solve: (x-7) (x+2) = 0 use the space below to show your work

Greater Value
Lesser Value

Answer 1

x = 7, x = -2

Explanation:

(x-7) (x+2) = 0

Zero product property: In order to get a product (the answer to a multiplication problem) of 0, you need to have at least one of the numbers being multiplied be 0. For example, in x * y = 0, either x or y needs to be equal to 0.

Using this, we know that either (x - 7) or (x + 2) is 0. So,

x - 7 = 0

Add 7 to both sides.

x = 7

x + 2 = 0

Subtract 2 from both sides.

x = - 2

So, the answer is x = 7 or x = -2