F(x)=x^3+x^2-12x

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


Simplifying
F(x) = x3 + x2 + -12x

Multiply F * x
xF = x3 + x2 + -12x

Reorder the terms:
xF = -12x + x2 + x3

Solving
xF = -12x + x2 + x3

Solving for variable 'x'.

Reorder the terms:
12x + xF + -1x2 + -1x3 = -12x + x2 + x3 + 12x + -1x2 + -1x3

Reorder the terms:
12x + xF + -1x2 + -1x3 = -12x + 12x + x2 + -1x2 + x3 + -1x3

Combine like terms: -12x + 12x = 0
12x + xF + -1x2 + -1x3 = 0 + x2 + -1x2 + x3 + -1x3
12x + xF + -1x2 + -1x3 = x2 + -1x2 + x3 + -1x3

Combine like terms: x2 + -1x2 = 0
12x + xF + -1x2 + -1x3 = 0 + x3 + -1x3
12x + xF + -1x2 + -1x3 = x3 + -1x3

Combine like terms: x3 + -1x3 = 0
12x + xF + -1x2 + -1x3 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(12 + F + -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 '(12 + F + -1x + -1x2)' equal to zero and attempt to solve:

Simplifying
12 + F + -1x + -1x2 = 0

Solving
12 + F + -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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