SOLUTION: solve 6x^2-2=x by factoring.

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Question 55167: solve 6x^2-2=x by factoring.
Answer by funmath(2933) About Me  (Show Source):
You can put this solution on YOUR website!
solve 6x%5E2-2=x by factoring.
First put the equation in standard form highlight%28ax%5E2%2Bbx%2Bc=0%29
6x%5E2-x-2=x-x
6x%5E2-x-2=0
a=6, b=-1, and c=-2
We need to replace b (-1) with two integers that when multiplied give you a*c=6*-2=-12.
-4*3=-12
-4+3=-1
6x%5E2-4x%2B3x-2=0 Factor by grouping.
%286x%5E2-4x%29%2B%283x-2%29=0
2x%283x-2%29%2B1%283x-2%29=0
%282x%2B1%29%283x-2%29=0 Set each parenthesis = to 0 and solve for x.
2x%2B1=0 and 3x-2=0
2x%2B1-1=0-1 and 3x-2%2B2=0%2B2
2x=-1 and 3x=2
2x%2F2=-1%2F2 and 3x%2F3=2%2F3
x=-1%2F2 and x=2%2F3
Another way to write it is x={-1/2,2/3}
Happy Calculating!!!