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Math Help - lost

  1. #1
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    Unhappy lost

    totally lost on this problem... any suggestions on how to even start it is greatly appreciated ...

    Solve the absolute value equation

    l 1/2x + 2 l = l 3/4x-2 l

    both equations are in absolute terms with i guess you could say,both x's are next to the fractions. I hope i made that easy to understand

    thanks for all the help!
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  2. #2
    MHF Contributor
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    \left| \frac{x}{2} + 2 \right| = \left| \frac{3x}{4} - 2 \right|

    square both sides ...

    \frac{x^2}{4} + 2x + 4 = \frac{9x^2}{16} - 3x + 4

    0 = \frac{5x^2}{16} - 5x

    0 = 5x\left(\frac{x}{16} - 1\right)

    x = 0 ... x = 16
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