P(x)=x^5-5x^3+4x

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


Simplifying
P(x) = x5 + -5x3 + 4x

Multiply P * x
xP = x5 + -5x3 + 4x

Reorder the terms:
xP = 4x + -5x3 + x5

Solving
xP = 4x + -5x3 + x5

Solving for variable 'x'.

Reorder the terms:
-4x + xP + 5x3 + -1x5 = 4x + -5x3 + x5 + -4x + 5x3 + -1x5

Reorder the terms:
-4x + xP + 5x3 + -1x5 = 4x + -4x + -5x3 + 5x3 + x5 + -1x5

Combine like terms: 4x + -4x = 0
-4x + xP + 5x3 + -1x5 = 0 + -5x3 + 5x3 + x5 + -1x5
-4x + xP + 5x3 + -1x5 = -5x3 + 5x3 + x5 + -1x5

Combine like terms: -5x3 + 5x3 = 0
-4x + xP + 5x3 + -1x5 = 0 + x5 + -1x5
-4x + xP + 5x3 + -1x5 = x5 + -1x5

Combine like terms: x5 + -1x5 = 0
-4x + xP + 5x3 + -1x5 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-4 + P + 5x2 + -1x4) = 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 '(-4 + P + 5x2 + -1x4)' equal to zero and attempt to solve:

Simplifying
-4 + P + 5x2 + -1x4 = 0

Solving
-4 + P + 5x2 + -1x4 = 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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