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
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-> 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
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Question 350517: -=
Multiply everything by lowest common factor:
-=
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) (Show Source):
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.