36x^3-12x^2+9x=

Solution for 36x^3-12x^2+9x= equation:

Simplifying
36x3 + -12x2 + 9x = 0

Reorder the terms:
9x + -12x2 + 36x3 = 0

Solving
9x + -12x2 + 36x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3x'.
3x(3 + -4x + 12x2) = 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 + -4x + 12x2)' equal to zero and attempt to solve:

Simplifying
3 + -4x + 12x2 = 0

Solving
3 + -4x + 12x2 = 0

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

Divide each side by '12'.
0.25 + -0.3333333333x + x2 = 0

Move the constant term to the right:

Add '-0.25' to each side of the equation.
0.25 + -0.3333333333x + -0.25 + x2 = 0 + -0.25

Reorder the terms:
0.25 + -0.25 + -0.3333333333x + x2 = 0 + -0.25

Combine like terms: 0.25 + -0.25 = 0.00
0.00 + -0.3333333333x + x2 = 0 + -0.25
-0.3333333333x + x2 = 0 + -0.25

Combine like terms: 0 + -0.25 = -0.25
-0.3333333333x + x2 = -0.25

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 = -0.25 + 0.02777777779

Reorder the terms:
0.02777777779 + -0.3333333333x + x2 = -0.25 + 0.02777777779

Combine like terms: -0.25 + 0.02777777779 = -0.22222222221
0.02777777779 + -0.3333333333x + x2 = -0.22222222221

Factor a perfect square on the left side:
(x + -0.1666666667)(x + -0.1666666667) = -0.22222222221

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}