F(x)=(6x^5)-(5x^3)-(4x)

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Solution for F(x)=(6x^5)-(5x^3)-(4x) equation: 


Simplifying
F(x) = (6x5) + -1(5x3) + -1(4x)

Multiply F * x
xF = (6x5) + -1(5x3) + -1(4x)

Remove parenthesis around (5x3)
xF = (6x5) + -1 * 5x3 + -1(4x)

Multiply -1 * 5
xF = (6x5) + -5x3 + -1(4x)

Remove parenthesis around (4x)
xF = (6x5) + -5x3 + -1 * 4x

Multiply -1 * 4
xF = (6x5) + -5x3 + -4x

Reorder the terms:
xF = -4x + -5x3 + (6x5)

Solving
xF = -4x + -5x3 + (6x5)

Solving for variable 'x'.

Reorder the terms:
4x + xF + 5x3 + (-6x5) = -4x + -5x3 + (6x5) + 4x + 5x3 + (-6x5)

Reorder the terms:
4x + xF + 5x3 + (-6x5) = -4x + 4x + -5x3 + 5x3 + (6x5) + (-6x5)

Combine like terms: -4x + 4x = 0
4x + xF + 5x3 + (-6x5) = 0 + -5x3 + 5x3 + (6x5) + (-6x5)
4x + xF + 5x3 + (-6x5) = -5x3 + 5x3 + (6x5) + (-6x5)

Combine like terms: -5x3 + 5x3 = 0
4x + xF + 5x3 + (-6x5) = 0 + (6x5) + (-6x5)
4x + xF + 5x3 + (-6x5) = (6x5) + (-6x5)

Combine like terms: (6x5) + (-6x5) = 0
4x + xF + 5x3 + (-6x5) = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(4 + F + 5x2 + (-6x4)) = 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 '(4 + F + 5x2 + (-6x4))' equal to zero and attempt to solve:

Simplifying
4 + F + 5x2 + (-6x4) = 0

Solving
4 + F + 5x2 + (-6x4) = 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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