V(r)=k(R^2-r^2)

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Solution for V(r)=k(R^2-r^2) equation: 


Simplifying
V(r) = k(R2 + -1r2)

Multiply V * r
rV = k(R2 + -1r2)
rV = (R2 * k + -1r2 * k)
rV = (kR2 + -1kr2)

Solving
rV = kR2 + -1kr2

Solving for variable 'r'.

Reorder the terms:
-1kR2 + kr2 + rV = kR2 + -1kr2 + -1kR2 + kr2

Reorder the terms:
-1kR2 + kr2 + rV = kR2 + -1kR2 + -1kr2 + kr2

Combine like terms: kR2 + -1kR2 = 0
-1kR2 + kr2 + rV = 0 + -1kr2 + kr2
-1kR2 + kr2 + rV = -1kr2 + kr2

Combine like terms: -1kr2 + kr2 = 0
-1kR2 + kr2 + rV = 0

The solution to this equation could not be determined.

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