SOLUTION: Solve by factoring x^2=13x+48 and x^2-x-6=0

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Question 1857: Solve by factoring x^2=13x+48 and x^2-x-6=0
Answer by longjonsilver(2297) About Me  (Show Source):
You can put this solution on YOUR website!
1. write it as everything = 0, so
x%5E2+-+13x+-+48+=+0
%28x+-+16%29%28x+%2B+3%29+=+0 because (-16)(+3) is -48 and (-16+3)is -13
so 2 things multiplied give zero. THerefore one of them HAS to be zero. Which one? either, hence 2 possible answers... x-16=0 or x+3=0
hence x=16 or x=-3
2. x%5E2+-+x+-+6+=+0
(x-3)(x+2) = 0
therefore x-3=0 OR x+2=0
hence x=3 OR x=-2
cheers
Jon