9x^3+9x-3x^2=0

Solution for 9x^3+9x-3x^2=0 equation:

Simplifying
9x3 + 9x + -3x2 = 0

Reorder the terms:
9x + -3x2 + 9x3 = 0

Solving
9x + -3x2 + 9x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3x'.
3x(3 + -1x + 3x2) = 0

Ignore the factor 3.
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 + -1x + 3x2)' equal to zero and attempt to solve:

Simplifying
3 + -1x + 3x2 = 0

Solving
3 + -1x + 3x2 = 0

Begin completing the square.  Divide all terms by
3 the coefficient of the squared term: 

Divide each side by '3'.
1 + -0.3333333333x + x2 = 0

Move the constant term to the right:

Add '-1' to each side of the equation.
1 + -0.3333333333x + -1 + x2 = 0 + -1

Reorder the terms:
1 + -1 + -0.3333333333x + x2 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -0.3333333333x + x2 = 0 + -1
-0.3333333333x + x2 = 0 + -1

Combine like terms: 0 + -1 = -1
-0.3333333333x + x2 = -1

The x term is -0.3333333333x.  Take half its coefficient (-0.1666666667).
Square it (0.02777777779) and add it to both sides.

Add '0.02777777779' to each side of the equation.
-0.3333333333x + 0.02777777779 + x2 = -1 + 0.02777777779

Reorder the terms:
0.02777777779 + -0.3333333333x + x2 = -1 + 0.02777777779

Combine like terms: -1 + 0.02777777779 = -0.97222222221
0.02777777779 + -0.3333333333x + x2 = -0.97222222221

Factor a perfect square on the left side:
(x + -0.1666666667)(x + -0.1666666667) = -0.97222222221

Can't calculate square root of the right side.

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
x = {0}