SOLUTION: What are the solutions for x in the given equation? {{{6/(x-4)=(x-3)/(x+2)}}}

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Question 656266: What are the solutions for x in the given equation?
6%2F%28x-4%29=%28x-3%29%2F%28x%2B2%29
Answer by Edwin McCravy(20055) About Me  (Show Source):
You can put this solution on YOUR website!
6%2F%28x-4%29=%28x-3%29%2F%28x%2B2%29
Cross multiply:
6(x+2) = (x-3)(x-4)
6x+12 = x²-7x+12
0 = x²-13x
0 = x(x-13)
Use the zero-factor property
x = 0; x-13 = 0
x = 13
There are two solutions, 0 and 13.
Edwin