f(4)=2xf(4-1)

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Solution for f(4)=2xf(4-1) equation: 


Simplifying
f(4) = 2xf(4 + -1)

Reorder the terms for easier multiplication:
4f = 2xf(4 + -1)

Combine like terms: 4 + -1 = 3
4f = 2fx(3)

Reorder the terms for easier multiplication:
4f = 2 * 3fx

Multiply 2 * 3
4f = 6fx

Solving
4f = 6fx

Solving for variable 'f'.

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

Add '-6fx' to each side of the equation.
4f + -6fx = 6fx + -6fx

Combine like terms: 6fx + -6fx = 0
4f + -6fx = 0

Factor out the Greatest Common Factor (GCF), '2f'.
2f(2 + -3x) = 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 '(2 + -3x)' equal to zero and attempt to solve:

Simplifying
2 + -3x = 0

Solving
2 + -3x = 0

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

Add '-2' to each side of the equation.
2 + -2 + -3x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -3x = 0 + -2
-3x = 0 + -2

Combine like terms: 0 + -2 = -2
-3x = -2

Add '3x' to each side of the equation.
-3x + 3x = -2 + 3x

Combine like terms: -3x + 3x = 0
0 = -2 + 3x

Simplifying
0 = -2 + 3x

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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