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

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


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

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

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

Solving
xF = 6x + x2 + 3x3

Solving for variable 'x'.

Reorder the terms:
-6x + xF + -1x2 + -3x3 = 6x + x2 + 3x3 + -6x + -1x2 + -3x3

Reorder the terms:
-6x + xF + -1x2 + -3x3 = 6x + -6x + x2 + -1x2 + 3x3 + -3x3

Combine like terms: 6x + -6x = 0
-6x + xF + -1x2 + -3x3 = 0 + x2 + -1x2 + 3x3 + -3x3
-6x + xF + -1x2 + -3x3 = x2 + -1x2 + 3x3 + -3x3

Combine like terms: x2 + -1x2 = 0
-6x + xF + -1x2 + -3x3 = 0 + 3x3 + -3x3
-6x + xF + -1x2 + -3x3 = 3x3 + -3x3

Combine like terms: 3x3 + -3x3 = 0
-6x + xF + -1x2 + -3x3 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-6 + F + -1x + -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 + -1x + -3x2)' equal to zero and attempt to solve:

Simplifying
-6 + F + -1x + -3x2 = 0

Solving
-6 + F + -1x + -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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