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

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


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

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

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

Reorder the terms:
fn = (2fnx + -2fx)
fn = (2fnx + -2fx)

Solving
fn = 2fnx + -2fx

Solving for variable 'f'.

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

Add '-2fnx' to each side of the equation.
fn + -2fnx = 2fnx + -2fnx + -2fx

Combine like terms: 2fnx + -2fnx = 0
fn + -2fnx = 0 + -2fx
fn + -2fnx = -2fx

Add '2fx' to each side of the equation.
fn + -2fnx + 2fx = -2fx + 2fx

Combine like terms: -2fx + 2fx = 0
fn + -2fnx + 2fx = 0

Factor out the Greatest Common Factor (GCF), 'f'.
f(n + -2nx + 2x) = 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 + -2nx + 2x)' equal to zero and attempt to solve:

Simplifying
n + -2nx + 2x = 0

Solving
n + -2nx + 2x = 0

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

Add '-1n' to each side of the equation.
n + -2nx + -1n + 2x = 0 + -1n

Reorder the terms:
n + -1n + -2nx + 2x = 0 + -1n

Combine like terms: n + -1n = 0
0 + -2nx + 2x = 0 + -1n
-2nx + 2x = 0 + -1n
Remove the zero:
-2nx + 2x = -1n

Add '2nx' to each side of the equation.
-2nx + 2nx + 2x = -1n + 2nx

Combine like terms: -2nx + 2nx = 0
0 + 2x = -1n + 2nx
2x = -1n + 2nx

Add '-2x' to each side of the equation.
2x + -2x = -1n + 2nx + -2x

Combine like terms: 2x + -2x = 0
0 = -1n + 2nx + -2x

Simplifying
0 = -1n + 2nx + -2x

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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