Question

Solve the equation find what the variable equals to make true
(x-2)(x+4)=0

Answer 1

-4 and 2

Explanation:

First, we want to get rid of the parentheses by multiplying both x-2 and x+4 to each other, so remember to distribute the x and -2 to both x and 4. Once you have done this, you should get:

x² + 4x - 2x - 8 = 0

This can also be simplified to:

x² + 2x - 8 = 0

Now, factor so that this equation can be easier to solve for x:

(x + 4) (x - 2) = 0

If you solve for this equation, you get the same equation as before. Now, set each set of parentheses to equal 0 then solve:

x + 4 = 0

Subtract 4 on both sides:

x = -4

Now, the other equation:

x - 2 = 0

Add 2 to both sides:

x = 2

Therefore, your variable can equal both -4 and 2.

Hope this helps :)

Answer 2

refer to the attachment

hope it helps