SOLUTION: Factor this equation 6x^2 +2x-4 (Please explain step by step thanks!)

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Question 855126: Factor this equation
6x^2 +2x-4
(Please explain step by step thanks!)
Found 2 solutions by josgarithmetic, mananth:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Again? First take out the appropriate whole number factor from the trinomial:

2(3x^2+x-2)

Next, test the four combinations that might give that trinomial factor; only one of which will work:

-
(3x+1)(x-2)
-
(3x-1)(x+2)
-
(3x+2)(x-1)
-
(3x-2)(x+1)
-

Which of those works?

Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
6x%5E2+%2B2x+-4
product of co efficient of first term and third term = -24
split 24x^2 into two terms such that when the terms are added it is +2
+6 & -4 = +2
when you multiply them you get +6*-4 = -24
This the product of co efficient of first term and third term = -24

6x%5E2%2B6x-4x-4
Select the first two terms and the last two
common factor 6x and -4
6x%28x%2B1%29-4%28x%2B1%29
%286x-4%29%28x%2B1%29
common factor 2 in the first expression
2%283x-2%29%28x%2B1%29