Answer:
-4 and 2
Step-by-step 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 :)
