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Math Help - please help me with this Rational Equation

  1. #1
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    please help me with this Rational Equation

    9/x-5 + 3/x = -15/x^2-5x

    First thing I do is find the LCD which i think is x(x-5) or x^2-5x

    I eventually get the equation down to 9x+3x-15=-15

    at this point I want to say x=0, but knowing that I can take this further im kind of tempted to(and im kind of second guessing myself), and very stuck in the process. If x=0 then there would be "no solution", correct?

    i factor a 3 out: 3(2x+x-5)=-15

    and this is where im stuck.

    thanks for any help given
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  2. #2
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    Quote Originally Posted by NecroWinter View Post
    9/x-5 + 3/x = -15/x^2-5x

    First thing I do is find the LCD which i think is x(x-5) or x^2-5x

    I eventually get the equation down to 9x+3x-15=-15
    why are you making this so difficult?

    9x + 3(x-5) = -15

    12x - 15 = 15

    12x = 30

    x = 5/2
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  3. #3
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    i was kind of confused on this because x = 5/2 isnt an answer thats available for this, i assumed i had to factor instead.
    the only answers available are 0, no solution, -5 and "0,5"

    i probably should have mentioned it but this problem more than likely has to do with the domain
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  4. #4
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    Quote Originally Posted by NecroWinter View Post
    i was kind of confused on this because x = 5/2 isnt an answer thats available for this, i assumed i had to factor instead.
    the only answers available are 0, no solution, -5 and "0,5"

    i probably should have mentioned it but this problem more than likely has to do with the domain
    my mistake ...

    9x + 3(x-5) = -15
    12x - 15 = -15

    12x = 0

    x = 0 ... an invalid solution.
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