F(x)=x(x^2+3)

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


Simplifying
F(x) = x(x2 + 3)

Multiply F * x
xF = x(x2 + 3)

Reorder the terms:
xF = x(3 + x2)
xF = (3 * x + x2 * x)
xF = (3x + x3)

Solving
xF = 3x + x3

Solving for variable 'x'.

Reorder the terms:
-3x + xF + -1x3 = 3x + x3 + -3x + -1x3

Reorder the terms:
-3x + xF + -1x3 = 3x + -3x + x3 + -1x3

Combine like terms: 3x + -3x = 0
-3x + xF + -1x3 = 0 + x3 + -1x3
-3x + xF + -1x3 = x3 + -1x3

Combine like terms: x3 + -1x3 = 0
-3x + xF + -1x3 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-3 + 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 '(-3 + F + -1x2)' equal to zero and attempt to solve:

Simplifying
-3 + F + -1x2 = 0

Solving
-3 + F + -1x2 = 0

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

Add '3' to each side of the equation.
-3 + F + 3 + -1x2 = 0 + 3

Reorder the terms:
-3 + 3 + F + -1x2 = 0 + 3

Combine like terms: -3 + 3 = 0
0 + F + -1x2 = 0 + 3
F + -1x2 = 0 + 3

Combine like terms: 0 + 3 = 3
F + -1x2 = 3

Add '-1F' to each side of the equation.
F + -1F + -1x2 = 3 + -1F

Combine like terms: F + -1F = 0
0 + -1x2 = 3 + -1F
-1x2 = 3 + -1F

Divide each side by '-1'.
x2 = -3 + F

Simplifying
x2 = -3 + 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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