F(x)=2x^3-x^2-6x

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Solution for F(x)=2x^3-x^2-6x equation: 


Simplifying
F(x) = 2x3 + -1x2 + -6x

Multiply F * x
xF = 2x3 + -1x2 + -6x

Reorder the terms:
xF = -6x + -1x2 + 2x3

Solving
xF = -6x + -1x2 + 2x3

Solving for variable 'x'.

Reorder the terms:
6x + xF + x2 + -2x3 = -6x + -1x2 + 2x3 + 6x + x2 + -2x3

Reorder the terms:
6x + xF + x2 + -2x3 = -6x + 6x + -1x2 + x2 + 2x3 + -2x3

Combine like terms: -6x + 6x = 0
6x + xF + x2 + -2x3 = 0 + -1x2 + x2 + 2x3 + -2x3
6x + xF + x2 + -2x3 = -1x2 + x2 + 2x3 + -2x3

Combine like terms: -1x2 + x2 = 0
6x + xF + x2 + -2x3 = 0 + 2x3 + -2x3
6x + xF + x2 + -2x3 = 2x3 + -2x3

Combine like terms: 2x3 + -2x3 = 0
6x + xF + x2 + -2x3 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(6 + F + x + -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 '(6 + F + x + -2x2)' equal to zero and attempt to solve:

Simplifying
6 + F + x + -2x2 = 0

Solving
6 + F + x + -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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