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

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


Simplifying
F(x) = 3x3 + -12x + 3x

Multiply F * x
xF = 3x3 + -12x + 3x

Reorder the terms:
xF = -12x + 3x + 3x3

Combine like terms: -12x + 3x = -9x
xF = -9x + 3x3

Solving
xF = -9x + 3x3

Solving for variable 'x'.

Reorder the terms:
9x + xF + -3x3 = -9x + 3x3 + 9x + -3x3

Reorder the terms:
9x + xF + -3x3 = -9x + 9x + 3x3 + -3x3

Combine like terms: -9x + 9x = 0
9x + xF + -3x3 = 0 + 3x3 + -3x3
9x + xF + -3x3 = 3x3 + -3x3

Combine like terms: 3x3 + -3x3 = 0
9x + xF + -3x3 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(9 + F + -3x2) = 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 '(9 + F + -3x2)' equal to zero and attempt to solve:

Simplifying
9 + F + -3x2 = 0

Solving
9 + F + -3x2 = 0

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

Add '-9' to each side of the equation.
9 + F + -9 + -3x2 = 0 + -9

Reorder the terms:
9 + -9 + F + -3x2 = 0 + -9

Combine like terms: 9 + -9 = 0
0 + F + -3x2 = 0 + -9
F + -3x2 = 0 + -9

Combine like terms: 0 + -9 = -9
F + -3x2 = -9

Add '-1F' to each side of the equation.
F + -1F + -3x2 = -9 + -1F

Combine like terms: F + -1F = 0
0 + -3x2 = -9 + -1F
-3x2 = -9 + -1F

Divide each side by '-3'.
x2 = 3 + 0.3333333333F

Simplifying
x2 = 3 + 0.3333333333F

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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