SOLUTION: Please show steps of factoring: (2w^2-7w+6)

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Question 344364: Please show steps of factoring:
(2w^2-7w+6)
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
2w%5E2-7w%2B6=%282w%2Ba%29%28w%2Bb%29
2w%5E2-7w%2B6=2w%5E2%2B2bw%2Baw%2Bab
2w%5E2-7w%2B6=2w%5E2%2B%282b%2Ba%29w%2Bab
Comparing,
1.2b%2Ba=-7
2.ab=6
To satisfy eq. 1, both a and b must be negative.
Look at factors of 6, they must satisfy eq. 1 also,
a=-6,b=-1,2b%2Ba=-2-6=-8
a=-3,b=-2,2b%2Ba=-4-3=highlight%28-7%29
a=-2,b=-3,2b%2Ba=-6-2=-8
a=-1,b=-6,2b%2Ba=-12-1=-13
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a=-3
b=-2
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highlight_green%282w%5E2-7w%2B6=%282w-3%29%28w-2%29%29