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

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


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

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

Reorder the terms:
xF = -4x + 6x3 + -1x5

Solving
xF = -4x + 6x3 + -1x5

Solving for variable 'x'.

Reorder the terms:
4x + xF + -6x3 + x5 = -4x + 6x3 + -1x5 + 4x + -6x3 + x5

Reorder the terms:
4x + xF + -6x3 + x5 = -4x + 4x + 6x3 + -6x3 + -1x5 + x5

Combine like terms: -4x + 4x = 0
4x + xF + -6x3 + x5 = 0 + 6x3 + -6x3 + -1x5 + x5
4x + xF + -6x3 + x5 = 6x3 + -6x3 + -1x5 + x5

Combine like terms: 6x3 + -6x3 = 0
4x + xF + -6x3 + x5 = 0 + -1x5 + x5
4x + xF + -6x3 + x5 = -1x5 + x5

Combine like terms: -1x5 + x5 = 0
4x + xF + -6x3 + x5 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(4 + F + -6x2 + x4) = 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 + -6x2 + x4)' equal to zero and attempt to solve: Simplifying 4 + F + -6x2 + x4 = 0 Solving 4 + F + -6x2 + x4 = 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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