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How can I ask Wolfram Alpha to rearrange an equation?


I have an equation (parentheses are used because of VBA code)

Y=(P/(12E((bt^3)/12))*A

and i know every variables but not "b". Is there any way how to ask Wolfram Alpha to "redefine" (not solve) equation so I can see something like following: I tried to do it manually (but result is not OK)

b=((P/EY)*12A))/t^3

I wish to see how right equation will look.

Original equation is on picture below

enter image description here

where

enter image description here

equation in [,] I simplified by A


Solution

  • I'm not sure if there's a way to tell Wolfram|Alpha to rearrange for a particular variable; in general it will usually try to rearrange for x or y.

    If I substitute b for x in your equation and use the following query:

    solve Y - (P/(12E((xt^3)/12))*A) = 0
    

    then Wolfram Alpha returns the result you're looking for: x (b) expressed in terms of the other variables. Specifically:

    x = A P / (E t^3 Y)  for  tY != 0  and AP != 0