SOLUTION: 36 over x^2-36 + 8 over x+6 = 2 over x-6 solve

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: 36 over x^2-36 + 8 over x+6 = 2 over x-6 solve      Log On


   

Question 321677: 36 over x^2-36 + 8 over x+6 = 2 over x-6 solve
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
x%5E2-36=%28x-6%29%28x%2B6%29
Use the common denominator, x%5E2-36,
36+%2F%28x%5E2-36%29+%2B+8%2F%28x%2B6%29+=+2%2F%28x-6%29

36%2B8%28x-6%29-2%28x%2B6%29%2F%28%28x-6%29%28x%2B6%29%29=0
The fraction can only equal zero if the numerator equals zero.
36%2B8%28x-6%29-2%28x%2B6%29=0
36%2B8x-48-2x-12=0
6x-24=0
6x=24
highlight%28x=4%29