F(x)=x^5+x^3-6x

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Solution for F(x)=x^5+x^3-6x equation: 


Simplifying
F(x) = x5 + x3 + -6x

Multiply F * x
xF = x5 + x3 + -6x

Reorder the terms:
xF = -6x + x3 + x5

Solving
xF = -6x + x3 + x5

Solving for variable 'x'.

Reorder the terms:
6x + xF + -1x3 + -1x5 = -6x + x3 + x5 + 6x + -1x3 + -1x5

Reorder the terms:
6x + xF + -1x3 + -1x5 = -6x + 6x + x3 + -1x3 + x5 + -1x5

Combine like terms: -6x + 6x = 0
6x + xF + -1x3 + -1x5 = 0 + x3 + -1x3 + x5 + -1x5
6x + xF + -1x3 + -1x5 = x3 + -1x3 + x5 + -1x5

Combine like terms: x3 + -1x3 = 0
6x + xF + -1x3 + -1x5 = 0 + x5 + -1x5
6x + xF + -1x3 + -1x5 = x5 + -1x5

Combine like terms: x5 + -1x5 = 0
6x + xF + -1x3 + -1x5 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(6 + F + -1x2 + -1x4) = 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 + -1x2 + -1x4)' equal to zero and attempt to solve:

Simplifying
6 + F + -1x2 + -1x4 = 0

Solving
6 + F + -1x2 + -1x4 = 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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