SOLUTION: solve 9/(x^2-36) + 2/(x-6) = 1/(x+6) both parts of the equation are fractions, 9 is the numerator in the first fraction and 2 is the numerator in the second fraction, h

Algebra ->  Algebra  -> Rational-functions -> SOLUTION: solve 9/(x^2-36) + 2/(x-6) = 1/(x+6) both parts of the equation are fractions, 9 is the numerator in the first fraction and 2 is the numerator in the second fraction, h      Log On

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Question 191962: solve
9/(x^2-36) + 2/(x-6) = 1/(x+6)



both parts of the equation are fractions, 9 is the numerator in the first fraction and 2 is the numerator in the second fraction, hopefully that makes sense


thank you soo much!
Answer by jim_thompson5910(21685) About Me  (Show Source):
You can put this solution on YOUR website!
9%2F%28x%5E2-36%29+%2B+2%2F%28x-6%29+=+1%2F%28x%2B6%29+ Start with the given equation.


9%2F%28%28x-6%29%28x%2B6%29%29+%2B+2%2F%28x-6%29+=+1%2F%28x%2B6%29+ Factor the first denominator


cross%28%28x-6%29%28x%2B6%29%29%289%2F%28cross%28%28x-6%29%28x%2B6%29%29%29%29+%2B+cross%28%28x-6%29%29%28x%2B6%29%282%2Fcross%28%28x-6%29%29%29+=+%28x-6%29cross%28%28x%2B6%29%29%281%2Fcross%28%28x%2B6%29%29%29+ Multiply EVERY term by the LCD %28x-6%29%28x%2B6%29 to clear out the fractions.



9%2B2%28x%2B6%29=1%28x-6%29 Multiply and simplify


9%2B2x%2B12=x-6 Distribute.


2x%2B21=x-6 Combine like terms on the left side.


2x=x-6-21 Subtract 21 from both sides.


2x-x=-6-21 Subtract x from both sides.


x=-6-21 Combine like terms on the left side.


x=-27 Combine like terms on the right side.


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Answer:

So the solution is x=-27