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

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


Simplifying
P(x) = x3 + x2 + -1x + -1

Multiply P * x
xP = x3 + x2 + -1x + -1

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

Solving
xP = -1 + -1x + x2 + x3

Solving for variable 'x'.

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

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

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

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

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

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

The solution to this equation could not be determined.

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