P(x)=x^5-x^4+2x^3-2x^2+x-1

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Solution for P(x)=x^5-x^4+2x^3-2x^2+x-1 equation: 


Simplifying
P(x) = x5 + -1x4 + 2x3 + -2x2 + x + -1

Multiply P * x
xP = x5 + -1x4 + 2x3 + -2x2 + x + -1

Reorder the terms:
xP = -1 + x + -2x2 + 2x3 + -1x4 + x5

Solving
xP = -1 + x + -2x2 + 2x3 + -1x4 + x5

Solving for variable 'x'.

Reorder the terms:
1 + -1x + xP + 2x2 + -2x3 + x4 + -1x5 = -1 + x + -2x2 + 2x3 + -1x4 + x5 + 1 + -1x + 2x2 + -2x3 + x4 + -1x5

Reorder the terms:
1 + -1x + xP + 2x2 + -2x3 + x4 + -1x5 = -1 + 1 + x + -1x + -2x2 + 2x2 + 2x3 + -2x3 + -1x4 + x4 + x5 + -1x5

Combine like terms: -1 + 1 = 0
1 + -1x + xP + 2x2 + -2x3 + x4 + -1x5 = 0 + x + -1x + -2x2 + 2x2 + 2x3 + -2x3 + -1x4 + x4 + x5 + -1x5
1 + -1x + xP + 2x2 + -2x3 + x4 + -1x5 = x + -1x + -2x2 + 2x2 + 2x3 + -2x3 + -1x4 + x4 + x5 + -1x5

Combine like terms: x + -1x = 0
1 + -1x + xP + 2x2 + -2x3 + x4 + -1x5 = 0 + -2x2 + 2x2 + 2x3 + -2x3 + -1x4 + x4 + x5 + -1x5
1 + -1x + xP + 2x2 + -2x3 + x4 + -1x5 = -2x2 + 2x2 + 2x3 + -2x3 + -1x4 + x4 + x5 + -1x5

Combine like terms: -2x2 + 2x2 = 0
1 + -1x + xP + 2x2 + -2x3 + x4 + -1x5 = 0 + 2x3 + -2x3 + -1x4 + x4 + x5 + -1x5
1 + -1x + xP + 2x2 + -2x3 + x4 + -1x5 = 2x3 + -2x3 + -1x4 + x4 + x5 + -1x5

Combine like terms: 2x3 + -2x3 = 0
1 + -1x + xP + 2x2 + -2x3 + x4 + -1x5 = 0 + -1x4 + x4 + x5 + -1x5
1 + -1x + xP + 2x2 + -2x3 + x4 + -1x5 = -1x4 + x4 + x5 + -1x5

Combine like terms: -1x4 + x4 = 0
1 + -1x + xP + 2x2 + -2x3 + x4 + -1x5 = 0 + x5 + -1x5
1 + -1x + xP + 2x2 + -2x3 + x4 + -1x5 = x5 + -1x5

Combine like terms: x5 + -1x5 = 0
1 + -1x + xP + 2x2 + -2x3 + x4 + -1x5 = 0

The solution to this equation could not be determined.

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