F(x)=0.5x^3-0.5x

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Solution for F(x)=0.5x^3-0.5x equation: 


Simplifying
F(x) = 0.5x3 + -0.5x

Multiply F * x
xF = 0.5x3 + -0.5x

Reorder the terms:
xF = -0.5x + 0.5x3

Solving
xF = -0.5x + 0.5x3

Solving for variable 'x'.

Reorder the terms:
0.5x + xF + -0.5x3 = -0.5x + 0.5x3 + 0.5x + -0.5x3

Reorder the terms:
0.5x + xF + -0.5x3 = -0.5x + 0.5x + 0.5x3 + -0.5x3

Combine like terms: -0.5x + 0.5x = 0.0
0.5x + xF + -0.5x3 = 0.0 + 0.5x3 + -0.5x3
0.5x + xF + -0.5x3 = 0.5x3 + -0.5x3

Combine like terms: 0.5x3 + -0.5x3 = 0.0
0.5x + xF + -0.5x3 = 0.0

Factor out the Greatest Common Factor (GCF), 'x'.
x(0.5 + F + -0.5x2) = 0.0


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 '(0.5 + F + -0.5x2)' equal to zero and attempt to solve:

Simplifying
0.5 + F + -0.5x2 = 0

Solving
0.5 + F + -0.5x2 = 0

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

Add '-0.5' to each side of the equation.
0.5 + F + -0.5 + -0.5x2 = 0 + -0.5

Reorder the terms:
0.5 + -0.5 + F + -0.5x2 = 0 + -0.5

Combine like terms: 0.5 + -0.5 = 0.0
0.0 + F + -0.5x2 = 0 + -0.5
F + -0.5x2 = 0 + -0.5

Combine like terms: 0 + -0.5 = -0.5
F + -0.5x2 = -0.5

Add '-1F' to each side of the equation.
F + -1F + -0.5x2 = -0.5 + -1F

Combine like terms: F + -1F = 0
0 + -0.5x2 = -0.5 + -1F
-0.5x2 = -0.5 + -1F

Divide each side by '-0.5'.
x2 = 1 + 2F

Simplifying
x2 = 1 + 2F

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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