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Math Help - Simplification problem

  1. #1
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    Simplification problem

    My brain is frying, for some reason.

    For the equation:

    <br /> <br />
B=(1-a)c+aB<br /> <br />


    ...I understand that this simplifies to B=c, but for some reason, I can't figure out why. Can someone help to refresh and embarass me?
    Last edited by mr fantastic; March 13th 2011 at 01:10 PM. Reason: Title.
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  2. #2
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    e^(i*pi)'s Avatar
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    Subtract aB from both sides

    B-aB = (1-a)c

    Factor the LHS and see what cancels


    Bear in mind that a \neq 1
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  3. #3
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    Yup, my brain was fried. Thanks for pointing out what I wasn't seeing.
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