Solve this algebraic equation for 'D' (Hydraulics)

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TimmehTyme
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Never mind.
 
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Looks like you've got a fifth order polynomial on your hands. Probably best to solve via graphical or numerical methods.

Why not start by wrestling it into polynomial form f(D) = 0? Don't be afraid to replace the clutter of other variables (which will have constant values for a given D) with new constants that you can define accordingly.