f(n)=2n(n+1)

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Solution for f(n)=2n(n+1) equation: 


Simplifying
f(n) = 2n(n + 1)

Multiply f * n
fn = 2n(n + 1)

Reorder the terms:
fn = 2n(1 + n)
fn = (1 * 2n + n * 2n)
fn = (2n + 2n2)

Solving
fn = 2n + 2n2

Solving for variable 'f'.

Move all terms containing f to the left, all other terms to the right.

Divide each side by 'n'.
f = 2 + 2n

Simplifying
f = 2 + 2n

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