P(x)=x^5+2x^3+1x

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Solution for P(x)=x^5+2x^3+1x equation: 


Simplifying
P(x) = x5 + 2x3 + 1x

Multiply P * x
xP = x5 + 2x3 + 1x

Reorder the terms:
xP = 1x + 2x3 + x5

Solving
xP = 1x + 2x3 + x5

Solving for variable 'x'.

Reorder the terms:
-1x + xP + -2x3 + -1x5 = 1x + 2x3 + x5 + -1x + -2x3 + -1x5

Reorder the terms:
-1x + xP + -2x3 + -1x5 = 1x + -1x + 2x3 + -2x3 + x5 + -1x5

Combine like terms: 1x + -1x = 0
-1x + xP + -2x3 + -1x5 = 0 + 2x3 + -2x3 + x5 + -1x5
-1x + xP + -2x3 + -1x5 = 2x3 + -2x3 + x5 + -1x5

Combine like terms: 2x3 + -2x3 = 0
-1x + xP + -2x3 + -1x5 = 0 + x5 + -1x5
-1x + xP + -2x3 + -1x5 = x5 + -1x5

Combine like terms: x5 + -1x5 = 0
-1x + xP + -2x3 + -1x5 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-1 + P + -2x2 + -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 '(-1 + P + -2x2 + -1x4)' equal to zero and attempt to solve:

Simplifying
-1 + P + -2x2 + -1x4 = 0

Solving
-1 + P + -2x2 + -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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