P(x)=x^4+5x^3-27x^2+31x-10

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Solution for P(x)=x^4+5x^3-27x^2+31x-10 equation: 


Simplifying
P(x) = x4 + 5x3 + -27x2 + 31x + -10

Multiply P * x
xP = x4 + 5x3 + -27x2 + 31x + -10

Reorder the terms:
xP = -10 + 31x + -27x2 + 5x3 + x4

Solving
xP = -10 + 31x + -27x2 + 5x3 + x4

Solving for variable 'x'.

Reorder the terms:
10 + -31x + xP + 27x2 + -5x3 + -1x4 = -10 + 31x + -27x2 + 5x3 + x4 + 10 + -31x + 27x2 + -5x3 + -1x4

Reorder the terms:
10 + -31x + xP + 27x2 + -5x3 + -1x4 = -10 + 10 + 31x + -31x + -27x2 + 27x2 + 5x3 + -5x3 + x4 + -1x4

Combine like terms: -10 + 10 = 0
10 + -31x + xP + 27x2 + -5x3 + -1x4 = 0 + 31x + -31x + -27x2 + 27x2 + 5x3 + -5x3 + x4 + -1x4
10 + -31x + xP + 27x2 + -5x3 + -1x4 = 31x + -31x + -27x2 + 27x2 + 5x3 + -5x3 + x4 + -1x4

Combine like terms: 31x + -31x = 0
10 + -31x + xP + 27x2 + -5x3 + -1x4 = 0 + -27x2 + 27x2 + 5x3 + -5x3 + x4 + -1x4
10 + -31x + xP + 27x2 + -5x3 + -1x4 = -27x2 + 27x2 + 5x3 + -5x3 + x4 + -1x4

Combine like terms: -27x2 + 27x2 = 0
10 + -31x + xP + 27x2 + -5x3 + -1x4 = 0 + 5x3 + -5x3 + x4 + -1x4
10 + -31x + xP + 27x2 + -5x3 + -1x4 = 5x3 + -5x3 + x4 + -1x4

Combine like terms: 5x3 + -5x3 = 0
10 + -31x + xP + 27x2 + -5x3 + -1x4 = 0 + x4 + -1x4
10 + -31x + xP + 27x2 + -5x3 + -1x4 = x4 + -1x4

Combine like terms: x4 + -1x4 = 0
10 + -31x + xP + 27x2 + -5x3 + -1x4 = 0

The solution to this equation could not be determined.

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