18x^3-6x^2+8x=

Solution for 18x^3-6x^2+8x= equation:

Simplifying
18x3 + -6x2 + 8x = 0

Reorder the terms:
8x + -6x2 + 18x3 = 0

Solving
8x + -6x2 + 18x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2x'.
2x(4 + -3x + 9x2) = 0

Ignore the factor 2.
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 '(4 + -3x + 9x2)' equal to zero and attempt to solve:

Simplifying
4 + -3x + 9x2 = 0

Solving
4 + -3x + 9x2 = 0

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

Divide each side by '9'.
0.4444444444 + -0.3333333333x + x2 = 0

Move the constant term to the right:

Add '-0.4444444444' to each side of the equation.
0.4444444444 + -0.3333333333x + -0.4444444444 + x2 = 0 + -0.4444444444

Reorder the terms:
0.4444444444 + -0.4444444444 + -0.3333333333x + x2 = 0 + -0.4444444444

Combine like terms: 0.4444444444 + -0.4444444444 = 0.0000000000
0.0000000000 + -0.3333333333x + x2 = 0 + -0.4444444444
-0.3333333333x + x2 = 0 + -0.4444444444

Combine like terms: 0 + -0.4444444444 = -0.4444444444
-0.3333333333x + x2 = -0.4444444444

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 = -0.4444444444 + 0.02777777779

Reorder the terms:
0.02777777779 + -0.3333333333x + x2 = -0.4444444444 + 0.02777777779

Combine like terms: -0.4444444444 + 0.02777777779 = -0.41666666661
0.02777777779 + -0.3333333333x + x2 = -0.41666666661

Factor a perfect square on the left side:
(x + -0.1666666667)(x + -0.1666666667) = -0.41666666661

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}