Transposition/re-arrangement of equation

[russjai]

Im having issues with my weak algebraic skills trying to correctly re-arrange the following equation for "d"

110=(24/(pi*d^2))+((3.5/(pi*d^4/64))*(d/2)

i know that d=70 .

I have no idea how to attack this transposition.

Could someone please give me a few pointers or point me to a video that will help?

Thanks in advance

 

[tiny-tim]

hi russjai!

(try using the X² button just above the Reply box )

110=(24/(π*d²))+((3.5/(π*d⁴/64))*(d/2)

if I'm reading it right, that's of the form A = B/d² + C/d³

you can multiply throughout by d³ to make it Ad³ - Bd - C = 0

there's no easy way to solve that, and the solution certainly won't be a whole number ​