SOLUTION: i am lost how do i solve x squared -2x=24 by factoring

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Question 422177: i am lost how do i solve x squared -2x=24 by factoring
Found 2 solutions by rfer, MathLover1:
Answer by rfer(16322) About Me  (Show Source):
You can put this solution on YOUR website!
x^2-2x-24
(x-6)(x+4)

Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

x%5E2+-2x=24

x%5E2+-2x+-24=0
x%5E2+-2x+-24=0.....replace -2x with 4x-6x

x%5E2+%2B4x-6x+-24=0......group the first two terms together and the last two terms together like this:
%28x%5E2+%2B4x%29%2B%28-6x+-24%29=0....factor a x out of the first group and factor a -6 out of the second group.

x%28x+%2B4%29-6%28x+%2B4%29=0....we have a common term (x +4) we can combine the two terms
%28x-6%29%28x+%2B4%29=0....now, a product is equal to zero if one or both multiplicands are equal to zero
x-6=0....->...x=6
or
x%2B4=0....->...x=-4