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Math Help - solve for x, includes fractions of x and exponents

  1. #1
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    solve for x, includes fractions of x and exponents

    Solve for x:

    [x/1.06]+[0.8x/1.06^2]+[0.64x/1.06^3]=28370

    I know the final answer should be x=12940 but can anyone explain step by step how to get there please?

    Thanks
    Hannah
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  2. #2
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    First step

    Multiply both sides of the equation by 1.06^3
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  3. #3
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    Quote Originally Posted by capriblonde View Post
    Solve for x:

    [x/1.06]+[0.8x/1.06^2]+[0.64x/1.06^3]=28370

    I know the final answer should be x=12940 but can anyone explain step by step how to get there please?

    Thanks
    Hannah
    As wonderboy1953 said multiply both sides by 1.06^3 then simplify the expressions..
    Then you have 1.06x+1.06*0.8x+0.64x=33789.12392
    you can write 1.06 as 53/50
    so we get:

    (53/50)x+212x/250+16x/25=33789.12392

    2809x/2500+212/250x+16x/25=33789.12392

    (2809x+2120x+1600x)/2500=33789.12392

    6529x/2500=33789.12392

    x=33789.12392*2500/6529

    x=12940

    Hope this helped!
    Last edited by CausingTraumaZ; April 18th 2010 at 12:21 AM.
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