x^3-4x^2+4x=f(x)

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Solution for x^3-4x^2+4x=f(x) equation: 


Simplifying
x3 + -4x2 + 4x = f(x)

Reorder the terms:
4x + -4x2 + x3 = f(x)

Multiply f * x
4x + -4x2 + x3 = fx

Solving
4x + -4x2 + x3 = fx

Solving for variable 'x'.

Reorder the terms:
-1fx + 4x + -4x2 + x3 = fx + -1fx

Combine like terms: fx + -1fx = 0
-1fx + 4x + -4x2 + x3 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-1f + 4 + -4x + x2) = 0


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

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

Subproblem 2
Set the factor '(-1f + 4 + -4x + x2)' equal to zero and attempt to solve:

Simplifying
-1f + 4 + -4x + x2 = 0

Reorder the terms:
4 + -1f + -4x + x2 = 0

Solving
4 + -1f + -4x + x2 = 0

The solution to this equation could not be determined.

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

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