F(x)=2x^3+12x^2+18x

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Solution for F(x)=2x^3+12x^2+18x equation: 


Simplifying
F(x) = 2x3 + 12x2 + 18x

Multiply F * x
xF = 2x3 + 12x2 + 18x

Reorder the terms:
xF = 18x + 12x2 + 2x3

Solving
xF = 18x + 12x2 + 2x3

Solving for variable 'x'.

Reorder the terms:
-18x + xF + -12x2 + -2x3 = 18x + 12x2 + 2x3 + -18x + -12x2 + -2x3

Reorder the terms:
-18x + xF + -12x2 + -2x3 = 18x + -18x + 12x2 + -12x2 + 2x3 + -2x3

Combine like terms: 18x + -18x = 0
-18x + xF + -12x2 + -2x3 = 0 + 12x2 + -12x2 + 2x3 + -2x3
-18x + xF + -12x2 + -2x3 = 12x2 + -12x2 + 2x3 + -2x3

Combine like terms: 12x2 + -12x2 = 0
-18x + xF + -12x2 + -2x3 = 0 + 2x3 + -2x3
-18x + xF + -12x2 + -2x3 = 2x3 + -2x3

Combine like terms: 2x3 + -2x3 = 0
-18x + xF + -12x2 + -2x3 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-18 + F + -12x + -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 '(-18 + F + -12x + -2x2)' equal to zero and attempt to solve:

Simplifying
-18 + F + -12x + -2x2 = 0

Solving
-18 + F + -12x + -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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