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Math Help - problem involving loop rules (circuits)

  1. #1
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    Unhappy problem involving loop rules (circuits)

    here we go math wiz's

    i have simplified the equation to this, i am trying to solve for x and i don't kn ow what to do when there is arithmetic in the denominator ...help!



    [(xyz)]/[(p)-(xy)+(xz)] = d-q+p

    all i am searching for is an implicit solution obviously, but i am completely drawing a blank
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  2. #2
    Super Member Bacterius's Avatar
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    What the ? Don't put brackets everywhere ! Isn't it better to understand when it's written like this ?

    \frac{\ xyz}{p - xy + xz} = d - p + q

    (click on the equation too see how it is written and update your post).
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  3. #3
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    updated question.

    <br />
\frac{\ xyz}{p - xy + xz} = d - q + p<br />

    any ideas?

    and thank you bacterius, yes it is much easier
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  4. #4
    Super Member bigwave's Avatar
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    xyz = (d -q + p)(p - xy + xz)

    distribute...
    <br />
xyz = dp - dxy + dxz - qp + qxy -qxz + p^2 - pxy + pxz

    get all terms with x on right side

    xyz + dxy - dxz - qxy + qxz + pxy - pxz = dp -qp+  p^2

    factor out x

    x(yz + dy - dz - qy + qz + py - pz) = dp-qp + p^2

    divide leaving x by itself

    x = \frac{dp -qp+ p^2}{yz + dy - dz - qy + qz + py - pz}

    or

    x = \frac{p(d -q+ p)}{y(z + d - q+ p) - z(d- q  + p)}
    Last edited by bigwave; November 9th 2009 at 04:57 PM. Reason: signs
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  5. #5
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    Quote Originally Posted by dno21 View Post
    here we go math wiz's

    i have simplified the equation to this, i am trying to solve for x and i don't kn ow what to do when there is arithmetic in the denominator ...help!



    [(xyz)]/[(p)-(xy)+(xz)] = d-q+p

    all i am searching for is an implicit solution obviously, but i am completely drawing a blank
    1. Multiply both sides of the equation by the denominator.

    2. Expand the brackets at the RHS.

    3. Collect all terms containing the factor x at the LHS, all other Terms at the RHS.

    4. Factor out x. Divide by the bracket.

    5. You should come out with: x = \dfrac{p \cdot (d + p - q)}{y(z + d + p - q) - z(d + p - q)}
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