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

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


Simplifying
F(x) = 3x3 + -3x2 + -6x

Multiply F * x
xF = 3x3 + -3x2 + -6x

Reorder the terms:
xF = -6x + -3x2 + 3x3

Solving
xF = -6x + -3x2 + 3x3

Solving for variable 'x'.

Reorder the terms:
6x + xF + 3x2 + -3x3 = -6x + -3x2 + 3x3 + 6x + 3x2 + -3x3

Reorder the terms:
6x + xF + 3x2 + -3x3 = -6x + 6x + -3x2 + 3x2 + 3x3 + -3x3

Combine like terms: -6x + 6x = 0
6x + xF + 3x2 + -3x3 = 0 + -3x2 + 3x2 + 3x3 + -3x3
6x + xF + 3x2 + -3x3 = -3x2 + 3x2 + 3x3 + -3x3

Combine like terms: -3x2 + 3x2 = 0
6x + xF + 3x2 + -3x3 = 0 + 3x3 + -3x3
6x + xF + 3x2 + -3x3 = 3x3 + -3x3

Combine like terms: 3x3 + -3x3 = 0
6x + xF + 3x2 + -3x3 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(6 + F + 3x + -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 '(6 + F + 3x + -3x2)' equal to zero and attempt to solve: Simplifying 6 + F + 3x + -3x2 = 0 Solving 6 + F + 3x + -3x2 = 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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