SOLUTION: 6x^2 + 5x + 1=0 answer:x= -1/2 or -1/3 need a full break down of how my book got those fractions as answers

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Question 181637: 6x^2 + 5x + 1=0
answer:x= -1/2 or -1/3
need a full break down of how my book got those fractions as answers
Answer by Mathtut(3670) About Me  (Show Source):
You can put this solution on YOUR website!
%283x%2B1%29%282x%2B1%29=0 It is just a matter of factoring by Reverse FOIL. you play with the factors of the coefficients of x%5E2term and constant term
:
so once you factor as above
:
3x+1=0
:
3x=-1
:
x=-1/3
:
2x+1=0
:
2x=-1
:
x=-1/2