P(x)=x^3-4x^2-5x

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Solution for P(x)=x^3-4x^2-5x equation: 


Simplifying
P(x) = x3 + -4x2 + -5x

Multiply P * x
xP = x3 + -4x2 + -5x

Reorder the terms:
xP = -5x + -4x2 + x3

Solving
xP = -5x + -4x2 + x3

Solving for variable 'x'.

Reorder the terms:
5x + xP + 4x2 + -1x3 = -5x + -4x2 + x3 + 5x + 4x2 + -1x3

Reorder the terms:
5x + xP + 4x2 + -1x3 = -5x + 5x + -4x2 + 4x2 + x3 + -1x3

Combine like terms: -5x + 5x = 0
5x + xP + 4x2 + -1x3 = 0 + -4x2 + 4x2 + x3 + -1x3
5x + xP + 4x2 + -1x3 = -4x2 + 4x2 + x3 + -1x3

Combine like terms: -4x2 + 4x2 = 0
5x + xP + 4x2 + -1x3 = 0 + x3 + -1x3
5x + xP + 4x2 + -1x3 = x3 + -1x3

Combine like terms: x3 + -1x3 = 0
5x + xP + 4x2 + -1x3 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(5 + P + 4x + -1x2) = 0


Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

Move all terms containing x to the left, all other terms to the right.

Simplifying
x = 0

Subproblem 2
Set the factor '(5 + P + 4x + -1x2)' equal to zero and attempt to solve:

Simplifying
5 + P + 4x + -1x2 = 0

Solving
5 + P + 4x + -1x2 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
x = {0}

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