P(x)=x^3+1x^2-20x

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Solution for P(x)=x^3+1x^2-20x equation: 


Simplifying
P(x) = x3 + 1x2 + -20x

Multiply P * x
xP = x3 + 1x2 + -20x

Reorder the terms:
xP = -20x + 1x2 + x3

Solving
xP = -20x + 1x2 + x3

Solving for variable 'x'.

Reorder the terms:
20x + xP + -1x2 + -1x3 = -20x + 1x2 + x3 + 20x + -1x2 + -1x3

Reorder the terms:
20x + xP + -1x2 + -1x3 = -20x + 20x + 1x2 + -1x2 + x3 + -1x3

Combine like terms: -20x + 20x = 0
20x + xP + -1x2 + -1x3 = 0 + 1x2 + -1x2 + x3 + -1x3
20x + xP + -1x2 + -1x3 = 1x2 + -1x2 + x3 + -1x3

Combine like terms: 1x2 + -1x2 = 0
20x + xP + -1x2 + -1x3 = 0 + x3 + -1x3
20x + xP + -1x2 + -1x3 = x3 + -1x3

Combine like terms: x3 + -1x3 = 0
20x + xP + -1x2 + -1x3 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(20 + P + -1x + -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 '(20 + P + -1x + -1x2)' equal to zero and attempt to solve:

Simplifying
20 + P + -1x + -1x2 = 0

Solving
20 + P + -1x + -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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