x^5-5x^4+5x^3+5x^2-6x=0

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Solution for x^5-5x^4+5x^3+5x^2-6x=0 equation: 


Simplifying
x5 + -5x4 + 5x3 + 5x2 + -6x = 0

Reorder the terms:
-6x + 5x2 + 5x3 + -5x4 + x5 = 0

Solving
-6x + 5x2 + 5x3 + -5x4 + x5 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-6 + 5x + 5x2 + -5x3 + 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 '(-6 + 5x + 5x2 + -5x3 + x4)' equal to zero and attempt to solve:

Simplifying
-6 + 5x + 5x2 + -5x3 + x4 = 0

Solving
-6 + 5x + 5x2 + -5x3 + 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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