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

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

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

Reorder the terms for easier multiplication:
2f = 2xf(n + -1)

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

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

Solving
2f = 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.
2f + -2fnx = 2fnx + -2fnx + -2fx

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

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

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

Factor out the Greatest Common Factor (GCF), '2f'.
2f(1 + -1nx + x) = 0

Ignore the factor 2.
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 '(1 + -1nx + x)' equal to zero and attempt to solve:

Simplifying
1 + -1nx + x = 0

Solving
1 + -1nx + x = 0

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

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

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

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

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

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

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

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

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

Simplifying
0 = -1 + nx + -1x

The solution to this equation could not be determined.

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