What are the steps to manipulate this equation and solve for r2?

[razmataz]

I need help gettin from

(n-1)((1/r1^3)-(1/r2^3))(y^4/8) = (y^4/32f^3)

r1 and r2 have the 1 and 2 and subscript and are not numbers.

Question states r1 = f

Supposed to end up with

r2 = ((4n-4)/(4n-5))^(1/3)) * f

Can anyone show me the steps?!

 

[Mark44]

I need help gettin from

(n-1)((1/r1^3)-(1/r2^3))(y^4/8) = (y^4/32f^3)

r1 and r2 have the 1 and 2 and subscript and are not numbers.

Question states r1 = f

Supposed to end up with

r2 = ((4n-4)/(4n-5))^(1/3)) * f

Can anyone show me the steps?!

Since y⁴ appears on both sides, you can eliminate it by dividing both sides by y⁴ (and assuming that y $\neq$ 0).

Then, combine the two fractions in r₁ and r₂ on the left side.
Then, replace r₁ by f.

Then expand everything on the left side. After that, isolate all terms that involve r₂ and divide both sides by the coefficient of r₂.