F(x)=x^3-2x-8x

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Solution for F(x)=x^3-2x-8x equation: 


Simplifying
F(x) = x3 + -2x + -8x

Multiply F * x
xF = x3 + -2x + -8x

Reorder the terms:
xF = -2x + -8x + x3

Combine like terms: -2x + -8x = -10x
xF = -10x + x3

Solving
xF = -10x + x3

Solving for variable 'x'.

Reorder the terms:
10x + xF + -1x3 = -10x + x3 + 10x + -1x3

Reorder the terms:
10x + xF + -1x3 = -10x + 10x + x3 + -1x3

Combine like terms: -10x + 10x = 0
10x + xF + -1x3 = 0 + x3 + -1x3
10x + xF + -1x3 = x3 + -1x3

Combine like terms: x3 + -1x3 = 0
10x + xF + -1x3 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(10 + F + -1x2) = 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 '(10 + F + -1x2)' equal to zero and attempt to solve:

Simplifying
10 + F + -1x2 = 0

Solving
10 + F + -1x2 = 0

Move all terms containing x to the left, all other terms to the right.

Add '-10' to each side of the equation.
10 + F + -10 + -1x2 = 0 + -10

Reorder the terms:
10 + -10 + F + -1x2 = 0 + -10

Combine like terms: 10 + -10 = 0
0 + F + -1x2 = 0 + -10
F + -1x2 = 0 + -10

Combine like terms: 0 + -10 = -10
F + -1x2 = -10

Add '-1F' to each side of the equation.
F + -1F + -1x2 = -10 + -1F

Combine like terms: F + -1F = 0
0 + -1x2 = -10 + -1F
-1x2 = -10 + -1F

Divide each side by '-1'.
x2 = 10 + F

Simplifying
x2 = 10 + F

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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