How to approach to solve this equation

[Mech_LS24]

TL;DR Summary

I would like to solve the equation for "d".

Dear mathematicians,

I am getting stuck solving this equation for "d". And what (free)software would you recommend to check this equation?

Thanks a lot!

 

[malawi_glenn]

Use desmos or something or wolfram alpha

 

[topsquark]

Summary: I would like to solve the equation for "d".

Dear mathematicians,

I am getting stuck solving this equation for "d". And what (free)software would you recommend to check this equation?
View attachment 313333

View attachment 313334

Thanks a lot!

Unless something cancels it's going to be a 10th order polynomial. And given your numbers it's highly unlikely to be factorable. W|A, Mathematica, or Matlab would be my suggestions.

-Dan

 

[fresh_42]

If you really want to attack that expression, I recommend the substitutions $x=0.033^2 -d^2$ and $y=0.033^2+d^2$. And you should consider using a Weierstraß substitution!