P(x)=2x^3-2x^2-12x

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Solution for P(x)=2x^3-2x^2-12x equation: 


Simplifying
P(x) = 2x3 + -2x2 + -12x

Multiply P * x
xP = 2x3 + -2x2 + -12x

Reorder the terms:
xP = -12x + -2x2 + 2x3

Solving
xP = -12x + -2x2 + 2x3

Solving for variable 'x'.

Reorder the terms:
12x + xP + 2x2 + -2x3 = -12x + -2x2 + 2x3 + 12x + 2x2 + -2x3

Reorder the terms:
12x + xP + 2x2 + -2x3 = -12x + 12x + -2x2 + 2x2 + 2x3 + -2x3

Combine like terms: -12x + 12x = 0
12x + xP + 2x2 + -2x3 = 0 + -2x2 + 2x2 + 2x3 + -2x3
12x + xP + 2x2 + -2x3 = -2x2 + 2x2 + 2x3 + -2x3

Combine like terms: -2x2 + 2x2 = 0
12x + xP + 2x2 + -2x3 = 0 + 2x3 + -2x3
12x + xP + 2x2 + -2x3 = 2x3 + -2x3

Combine like terms: 2x3 + -2x3 = 0
12x + xP + 2x2 + -2x3 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(12 + P + 2x + -2x2) = 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 '(12 + P + 2x + -2x2)' equal to zero and attempt to solve:

Simplifying
12 + P + 2x + -2x2 = 0

Solving
12 + P + 2x + -2x2 = 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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