SOLUTION: 2(x-1)(x+3)+(x-3)(x+3)=3(x+2)(x-3) I've solved the problem up to this point but don't know the next step. It started out as this: 2/x^2-x-6 + 1/x^2+x-2 = 3/x^2+2x-3

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: 2(x-1)(x+3)+(x-3)(x+3)=3(x+2)(x-3) I've solved the problem up to this point but don't know the next step. It started out as this: 2/x^2-x-6 + 1/x^2+x-2 = 3/x^2+2x-3      Log On


   

Question 359751: 2(x-1)(x+3)+(x-3)(x+3)=3(x+2)(x-3)
I've solved the problem up to this point but don't know the next step.
It started out as this: 2/x^2-x-6 + 1/x^2+x-2 = 3/x^2+2x-3
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
You need to expand it and simplify.
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+2%2F%28x%5E2-x-6%29+%2B+1%2F%28x%5E2%2Bx-2%29+=+3%2F%28x%5E2%2B2x-3%29

Find a common denominator, %28x-3%29%28x%2B3%29%28x%2B2%29%28x-1%29

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%287x%2B3%29%2F%28%28x-3%29%28x%2B3%29%28x-1%29%28x%2B2%29%29=0+
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7x%2B3=0
7x=-3
highlight%28x=-3%2F7%29