f(n)=2f(3-1)f(n-2)

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Solution for f(n)=2f(3-1)f(n-2) equation: 


Simplifying
f(n) = 2f(3 + -1) * f(n + -2)

Multiply f * n
fn = 2f(3 + -1) * f(n + -2)

Combine like terms: 3 + -1 = 2
fn = 2f(2) * f(n + -2)

Reorder the terms:
fn = 2f * 2f(-2 + n)

Reorder the terms for easier multiplication:
fn = 2 * 2f * f(-2 + n)

Multiply 2 * 2
fn = 4f * f(-2 + n)

Multiply f * f
fn = 4f2(-2 + n)
fn = (-2 * 4f2 + n * 4f2)
fn = (-8f2 + 4f2n)

Solving
fn = -8f2 + 4f2n

Solving for variable 'f'.

Reorder the terms:
fn + 8f2 + -4f2n = -8f2 + 8f2 + 4f2n + -4f2n

Combine like terms: -8f2 + 8f2 = 0
fn + 8f2 + -4f2n = 0 + 4f2n + -4f2n
fn + 8f2 + -4f2n = 4f2n + -4f2n

Combine like terms: 4f2n + -4f2n = 0
fn + 8f2 + -4f2n = 0

Factor out the Greatest Common Factor (GCF), 'f'.
f(n + 8f + -4fn) = 0


Subproblem 1
Set the factor 'f' equal to zero and attempt to solve:

Simplifying
f = 0

Solving
f = 0

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

Simplifying
f = 0

Subproblem 2
Set the factor '(n + 8f + -4fn)' equal to zero and attempt to solve:

Simplifying
n + 8f + -4fn = 0

Reorder the terms:
8f + -4fn + n = 0

Solving
8f + -4fn + n = 0

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

Add '-1n' to each side of the equation.
8f + -4fn + n + -1n = 0 + -1n

Combine like terms: n + -1n = 0
8f + -4fn + 0 = 0 + -1n
8f + -4fn = 0 + -1n
Remove the zero:
8f + -4fn = -1n

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
f = {0}

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