Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar (s). Consider the expression below. For (x - 6) (x + 2) to equal 0, either (x - 6) or (x + 2) must equal. The values of x that would result in the given expression being equal to 0, in order from least to greatest, are and.

For (x - 6) (x + 2) to equal 0, either (x - 6) or (x + 2) must equal 0.

The values of x that would result in the given expression being equal to 0, in order from least to greatest, are - 2 and 6.

Step-by-step explanation:

We need to find which values of x will make the following equation equal to zero:

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

According to the zero product property, if the product of two numbers is zero then either one of them is equal to zero or both of them are equal to zero. Since, product of (x - 6) and (x + 2) is equal to 0, we can write:

Either, x - 6 = 0, this means x = 6

or

x + 2 = 0, this means x = - 2

Thus, the complete statement will be:

The values of x that would result in the given expression being equal to 0, in order from least to greatest are - 2 and 6

-2, 6

Step-by-step explanation:

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

x - 6 = 0 x + 2 = 0

x = 6 x = - 2

The values of x that would result in the given expression being equal to 0, in order from least to greatest, are - 2 and 6.