SOLUTION: I feel really dumb, but I do not comprehend factoring at all. Maybe it's just that it's late, but how do I solve 15x^2 + 26x + 8 = 0

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Question 698337: I feel really dumb, but I do not comprehend factoring at all. Maybe it's just that it's late, but how do I solve 15x^2 + 26x + 8 = 0
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
solve 15x^2 + 26x + 8 = 0
Start by factoring 15 and 8
(5x + 4)(3x + 2)
FOIL this, does (5*2)+(4*3) = 26, no; then try
(5x + 2)(3x + 4)
FOIL again, (5*4)+(2*3) does in fact, add up 26
(5x + 2)(3x + 4) = 0
5x = -2
x = -2/5
and
3x = 4
x = -4/3