P(x)=6x^5+5x^4-8x^3-6x^2+8x+1

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Solution for P(x)=6x^5+5x^4-8x^3-6x^2+8x+1 equation: 


Simplifying
P(x) = 6x5 + 5x4 + -8x3 + -6x2 + 8x + 1

Multiply P * x
xP = 6x5 + 5x4 + -8x3 + -6x2 + 8x + 1

Reorder the terms:
xP = 1 + 8x + -6x2 + -8x3 + 5x4 + 6x5

Solving
xP = 1 + 8x + -6x2 + -8x3 + 5x4 + 6x5

Solving for variable 'x'.

Reorder the terms:
-1 + -8x + xP + 6x2 + 8x3 + -5x4 + -6x5 = 1 + 8x + -6x2 + -8x3 + 5x4 + 6x5 + -1 + -8x + 6x2 + 8x3 + -5x4 + -6x5

Reorder the terms:
-1 + -8x + xP + 6x2 + 8x3 + -5x4 + -6x5 = 1 + -1 + 8x + -8x + -6x2 + 6x2 + -8x3 + 8x3 + 5x4 + -5x4 + 6x5 + -6x5

Combine like terms: 1 + -1 = 0
-1 + -8x + xP + 6x2 + 8x3 + -5x4 + -6x5 = 0 + 8x + -8x + -6x2 + 6x2 + -8x3 + 8x3 + 5x4 + -5x4 + 6x5 + -6x5
-1 + -8x + xP + 6x2 + 8x3 + -5x4 + -6x5 = 8x + -8x + -6x2 + 6x2 + -8x3 + 8x3 + 5x4 + -5x4 + 6x5 + -6x5

Combine like terms: 8x + -8x = 0
-1 + -8x + xP + 6x2 + 8x3 + -5x4 + -6x5 = 0 + -6x2 + 6x2 + -8x3 + 8x3 + 5x4 + -5x4 + 6x5 + -6x5
-1 + -8x + xP + 6x2 + 8x3 + -5x4 + -6x5 = -6x2 + 6x2 + -8x3 + 8x3 + 5x4 + -5x4 + 6x5 + -6x5

Combine like terms: -6x2 + 6x2 = 0
-1 + -8x + xP + 6x2 + 8x3 + -5x4 + -6x5 = 0 + -8x3 + 8x3 + 5x4 + -5x4 + 6x5 + -6x5
-1 + -8x + xP + 6x2 + 8x3 + -5x4 + -6x5 = -8x3 + 8x3 + 5x4 + -5x4 + 6x5 + -6x5

Combine like terms: -8x3 + 8x3 = 0
-1 + -8x + xP + 6x2 + 8x3 + -5x4 + -6x5 = 0 + 5x4 + -5x4 + 6x5 + -6x5
-1 + -8x + xP + 6x2 + 8x3 + -5x4 + -6x5 = 5x4 + -5x4 + 6x5 + -6x5

Combine like terms: 5x4 + -5x4 = 0
-1 + -8x + xP + 6x2 + 8x3 + -5x4 + -6x5 = 0 + 6x5 + -6x5
-1 + -8x + xP + 6x2 + 8x3 + -5x4 + -6x5 = 6x5 + -6x5

Combine like terms: 6x5 + -6x5 = 0
-1 + -8x + xP + 6x2 + 8x3 + -5x4 + -6x5 = 0

The solution to this equation could not be determined.

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