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Math Help - solving equation

  1. #1
    ADY
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    solving equation

    Help - please solve for x.

    \frac {x + 5}{x} - \frac {8}{2x - 3} = 0

    Thank you
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  2. #2
    MHF Contributor
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    Quote Originally Posted by ADY View Post
    Help - please solve for x.

    \frac {x + 5}{x} - \frac {8}{2x - 3} = 0

    Thank you
    Get a common denominator

    \frac{(2x - 3)(x + 5)}{x(2x - 3)} - \frac{8x}{x(2x - 3)} = 0

    \frac{(2x - 3)(x + 5) - 8x}{x(2x - 3)} = 0


    First, note that the denominator can not be 0, so x \neq 0 and x \neq \frac{3}{2}.


    (2x - 3)(x + 5) - 8x = 0

    2x^2 + 10x - 3x - 15 - 8x = 0

    2x^2 - x - 15 = 0

    2x^2 - 6x + 5x - 15 = 0

    2x(x - 3) + 5(x - 3) = 0

    (x - 3)(2x + 5) = 0

    x = 3 or x = -\frac{5}{2}.
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