SOLUTION: {{{1/(x-3)}}}-{{{2/(x+3)}}}={{{2x/(x^2 -9)}}} Multiply everything by lowest common factor: {{{1(x+3)(x-3)/(x-3)}}}-{{{2(x+3)(x-3)/(x+3)}}}={{{2x(x^2 -9)/(x^2 -9)}}} x + 3

Algebra ->  Equations -> SOLUTION: {{{1/(x-3)}}}-{{{2/(x+3)}}}={{{2x/(x^2 -9)}}} Multiply everything by lowest common factor: {{{1(x+3)(x-3)/(x-3)}}}-{{{2(x+3)(x-3)/(x+3)}}}={{{2x(x^2 -9)/(x^2 -9)}}} x + 3       Log On


   



Question 350517: 1%2F%28x-3%29-2%2F%28x%2B3%29=2x%2F%28x%5E2+-9%29
Multiply everything by lowest common factor:
1%28x%2B3%29%28x-3%29%2F%28x-3%29-2%28x%2B3%29%28x-3%29%2F%28x%2B3%29=2x%28x%5E2+-9%29%2F%28x%5E2+-9%29
x + 3 - 2x - 6 = 2x
-x - 3 = 2x
-1 = x
When I try to plug -1 into the original equation, it does not work.

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Your third step should be the equation

x + 3 - 2x + 6 = 2x


Since (-2)*(-3) = 6 (you lost a sign somewhere)


Now solve the equation to get x = 3. This is the only possible solution.


However, there's a problem: plugging in x=3 gives you a denominator of zero. Since dividing by zero is not allowed, we need to exclude x=3 from the domain.


So x = 3 is NOT a solution.


So there are no solutions.


If you need more help, email me at jim_thompson5910@hotmail.com

Also, feel free to check out my tutoring website

Jim