x^5-3x^4-x^3+3x^2=f(x)

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Solution for x^5-3x^4-x^3+3x^2=f(x) equation:


Simplifying
x5 + -3x4 + -1x3 + 3x2 = f(x)

Reorder the terms:
3x2 + -1x3 + -3x4 + x5 = f(x)

Multiply f * x
3x2 + -1x3 + -3x4 + x5 = fx

Solving
3x2 + -1x3 + -3x4 + x5 = fx

Solving for variable 'x'.

Reorder the terms:
-1fx + 3x2 + -1x3 + -3x4 + x5 = fx + -1fx

Combine like terms: fx + -1fx = 0
-1fx + 3x2 + -1x3 + -3x4 + x5 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-1f + 3x + -1x2 + -3x3 + x4) = 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 + 3x + -1x2 + -3x3 + x4)' equal to zero and attempt to solve: Simplifying -1f + 3x + -1x2 + -3x3 + x4 = 0 Solving -1f + 3x + -1x2 + -3x3 + x4 = 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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