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

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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}

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