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

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


Simplifying
P(x) = x4 + 4x2 + -2x + 1

Multiply P * x
xP = x4 + 4x2 + -2x + 1

Reorder the terms:
xP = 1 + -2x + 4x2 + x4

Solving
xP = 1 + -2x + 4x2 + x4

Solving for variable 'x'.

Reorder the terms:
-1 + 2x + xP + -4x2 + -1x4 = 1 + -2x + 4x2 + x4 + -1 + 2x + -4x2 + -1x4

Reorder the terms:
-1 + 2x + xP + -4x2 + -1x4 = 1 + -1 + -2x + 2x + 4x2 + -4x2 + x4 + -1x4

Combine like terms: 1 + -1 = 0
-1 + 2x + xP + -4x2 + -1x4 = 0 + -2x + 2x + 4x2 + -4x2 + x4 + -1x4
-1 + 2x + xP + -4x2 + -1x4 = -2x + 2x + 4x2 + -4x2 + x4 + -1x4

Combine like terms: -2x + 2x = 0
-1 + 2x + xP + -4x2 + -1x4 = 0 + 4x2 + -4x2 + x4 + -1x4
-1 + 2x + xP + -4x2 + -1x4 = 4x2 + -4x2 + x4 + -1x4

Combine like terms: 4x2 + -4x2 = 0
-1 + 2x + xP + -4x2 + -1x4 = 0 + x4 + -1x4
-1 + 2x + xP + -4x2 + -1x4 = x4 + -1x4

Combine like terms: x4 + -1x4 = 0
-1 + 2x + xP + -4x2 + -1x4 = 0

The solution to this equation could not be determined.

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