SOLUTION: 6x^2 - 28x - 48 Factoring

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Question 99502: 6x^2 - 28x - 48 Factoring
Answer by elima(1433) About Me  (Show Source):
You can put this solution on YOUR website!
6x^2 - 28x - 48
First lets factor out 2;
2%283x%5E2-14x-24%29
Now lets factor, lets put aside the 2 for now and then bring it back after we factor the equation;
(3x+4)(x-6)=0
now bring in the 2 and distribute;
2(3x+4)=0
6x+8=0
6x=-8
x=-8%2F6
2(x-6)=0
2x-12=0
2x=12
x=6
Now we plug each answer we got for x into the original equation and check which one is the correct one;
6%28-8%2F6%29-28%28-8%2F6%29-48=0
-8%2B224%2F6-48=0
-112%2F6=0 no
6%286%29%5E2-28%286%29-48=0
6(36)-168-48=0
216-168-48=0
0=0 yes
so the answer;
x=6
:)