P(x)=x^4+3x^3-6x^2-10x+8

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Solution for P(x)=x^4+3x^3-6x^2-10x+8 equation: 


Simplifying
P(x) = x4 + 3x3 + -6x2 + -10x + 8

Multiply P * x
xP = x4 + 3x3 + -6x2 + -10x + 8

Reorder the terms:
xP = 8 + -10x + -6x2 + 3x3 + x4

Solving
xP = 8 + -10x + -6x2 + 3x3 + x4

Solving for variable 'x'.

Reorder the terms:
-8 + 10x + xP + 6x2 + -3x3 + -1x4 = 8 + -10x + -6x2 + 3x3 + x4 + -8 + 10x + 6x2 + -3x3 + -1x4

Reorder the terms:
-8 + 10x + xP + 6x2 + -3x3 + -1x4 = 8 + -8 + -10x + 10x + -6x2 + 6x2 + 3x3 + -3x3 + x4 + -1x4

Combine like terms: 8 + -8 = 0
-8 + 10x + xP + 6x2 + -3x3 + -1x4 = 0 + -10x + 10x + -6x2 + 6x2 + 3x3 + -3x3 + x4 + -1x4
-8 + 10x + xP + 6x2 + -3x3 + -1x4 = -10x + 10x + -6x2 + 6x2 + 3x3 + -3x3 + x4 + -1x4

Combine like terms: -10x + 10x = 0
-8 + 10x + xP + 6x2 + -3x3 + -1x4 = 0 + -6x2 + 6x2 + 3x3 + -3x3 + x4 + -1x4
-8 + 10x + xP + 6x2 + -3x3 + -1x4 = -6x2 + 6x2 + 3x3 + -3x3 + x4 + -1x4

Combine like terms: -6x2 + 6x2 = 0
-8 + 10x + xP + 6x2 + -3x3 + -1x4 = 0 + 3x3 + -3x3 + x4 + -1x4
-8 + 10x + xP + 6x2 + -3x3 + -1x4 = 3x3 + -3x3 + x4 + -1x4

Combine like terms: 3x3 + -3x3 = 0
-8 + 10x + xP + 6x2 + -3x3 + -1x4 = 0 + x4 + -1x4
-8 + 10x + xP + 6x2 + -3x3 + -1x4 = x4 + -1x4

Combine like terms: x4 + -1x4 = 0
-8 + 10x + xP + 6x2 + -3x3 + -1x4 = 0

The solution to this equation could not be determined.

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