F(x)=6x^4-18x^3-318x^2-54x

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Solution for F(x)=6x^4-18x^3-318x^2-54x equation: 


Simplifying
F(x) = 6x4 + -18x3 + -318x2 + -54x

Multiply F * x
xF = 6x4 + -18x3 + -318x2 + -54x

Reorder the terms:
xF = -54x + -318x2 + -18x3 + 6x4

Solving
xF = -54x + -318x2 + -18x3 + 6x4

Solving for variable 'x'.

Reorder the terms:
54x + xF + 318x2 + 18x3 + -6x4 = -54x + -318x2 + -18x3 + 6x4 + 54x + 318x2 + 18x3 + -6x4

Reorder the terms:
54x + xF + 318x2 + 18x3 + -6x4 = -54x + 54x + -318x2 + 318x2 + -18x3 + 18x3 + 6x4 + -6x4

Combine like terms: -54x + 54x = 0
54x + xF + 318x2 + 18x3 + -6x4 = 0 + -318x2 + 318x2 + -18x3 + 18x3 + 6x4 + -6x4
54x + xF + 318x2 + 18x3 + -6x4 = -318x2 + 318x2 + -18x3 + 18x3 + 6x4 + -6x4

Combine like terms: -318x2 + 318x2 = 0
54x + xF + 318x2 + 18x3 + -6x4 = 0 + -18x3 + 18x3 + 6x4 + -6x4
54x + xF + 318x2 + 18x3 + -6x4 = -18x3 + 18x3 + 6x4 + -6x4

Combine like terms: -18x3 + 18x3 = 0
54x + xF + 318x2 + 18x3 + -6x4 = 0 + 6x4 + -6x4
54x + xF + 318x2 + 18x3 + -6x4 = 6x4 + -6x4

Combine like terms: 6x4 + -6x4 = 0
54x + xF + 318x2 + 18x3 + -6x4 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(54 + F + 318x + 18x2 + -6x3) = 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 '(54 + F + 318x + 18x2 + -6x3)' equal to zero and attempt to solve:

Simplifying
54 + F + 318x + 18x2 + -6x3 = 0

Solving
54 + F + 318x + 18x2 + -6x3 = 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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