SOLUTION: can you help me solve this quadratic equation by factoring step by step? 2x^2=15-x

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Question 562000: can you help me solve this quadratic equation by factoring step by step?
2x^2=15-x
Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
adding x-15 ___ 2x^2 + x - 15 = 0

the factors of 2 are ± 2,1
the factors of -15 are ± 1,15 ; ± 3,5

2 times 3 ___ PLUS ___ 1 times -5; gives the 1 for the x-term coefficient

(2x - 5)(x + 3) = 0