SOLUTION: 3 5 8 --------- - ----------- --- = ----------- ---- x^2+4x-21 x^2- 8x +15 x^2+ 2x -35

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Question 147758: 3 5 8
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x^2+4x-21 x^2- 8x +15 x^2+ 2x -35
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
%283%29%2F%28x%5E2%2B4x-21%29%2B%28-5%29%2F%28x%5E2-8x%2B15%29=%288%29%2F%28x%5E2%2B2x-35%29 Start with the given equation.


Factor the denominators.


Multiply every term on both sides by the LCD %28x%2B7%29%28x-3%29%28x-5%29. Doing this will eliminate all of the fractions.


3%28x-5%29-5%28x%2B7%29=8%28x-3%29 Simplify.


-2x-50=8x-24 Combine like terms on the left side.


-2x=8x-24%2B50 Add 50 to both sides.


-2x-8x=-24%2B50 Subtract 8x from both sides.


-10x=-24%2B50 Combine like terms on the left side.


-10x=26 Combine like terms on the right side.


x=%2826%29%2F%28-10%29 Divide both sides by -10 to isolate x.


x=-13%2F5 Reduce.


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Answer:

So the answer is x=-13%2F5


Which approximates to x=-2.6