F(x)=3x^3+3x^2-18x

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Solution for F(x)=3x^3+3x^2-18x equation:


Simplifying
F(x) = 3x3 + 3x2 + -18x

Multiply F * x
xF = 3x3 + 3x2 + -18x

Reorder the terms:
xF = -18x + 3x2 + 3x3

Solving
xF = -18x + 3x2 + 3x3

Solving for variable 'x'.

Reorder the terms:
18x + xF + -3x2 + -3x3 = -18x + 3x2 + 3x3 + 18x + -3x2 + -3x3

Reorder the terms:
18x + xF + -3x2 + -3x3 = -18x + 18x + 3x2 + -3x2 + 3x3 + -3x3

Combine like terms: -18x + 18x = 0
18x + xF + -3x2 + -3x3 = 0 + 3x2 + -3x2 + 3x3 + -3x3
18x + xF + -3x2 + -3x3 = 3x2 + -3x2 + 3x3 + -3x3

Combine like terms: 3x2 + -3x2 = 0
18x + xF + -3x2 + -3x3 = 0 + 3x3 + -3x3
18x + xF + -3x2 + -3x3 = 3x3 + -3x3

Combine like terms: 3x3 + -3x3 = 0
18x + xF + -3x2 + -3x3 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(18 + 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 '(18 + F + -3x + -3x2)' equal to zero and attempt to solve: Simplifying 18 + F + -3x + -3x2 = 0 Solving 18 + 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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