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Math Help - Factoring problem.

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    Factoring problem.

    I know that this is probably an easy problem but I just cant figure it out. I've tried so many times and just cant get the right answer. Please help. Here's the question:

    Solve for X: x/x-5 - 2/x+5 = 50/(x+5)(x-5)
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    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by Movies32 View Post
    I know that this is probably an easy problem but I just cant figure it out. I've tried so many times and just cant get the right answer. Please help. Here's the question:

    Solve for X: x/x-5 - 2/x+5 = 50/(x+5)(x-5)
    multiply both sides by (x+5)(x-5) (or alternatively you could combine the fractions on the right and equate the numerators) we obtain:

    x(x + 5) - 2(x - 5) = 50
    => x^2 + 5x - 2x + 10 = 50
    => x^2 + 3x - 40 = 0
    => (x + 8)(x - 5) = 0
    => x = -8 or x = 5
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