6x^3+16x^2+18x=

Solution for 6x^3+16x^2+18x= equation:

Simplifying
6x3 + 16x2 + 18x = 0

Reorder the terms:
18x + 16x2 + 6x3 = 0

Solving
18x + 16x2 + 6x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2x'.
2x(9 + 8x + 3x2) = 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 '(9 + 8x + 3x2)' equal to zero and attempt to solve:

Simplifying
9 + 8x + 3x2 = 0

Solving
9 + 8x + 3x2 = 0

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

Divide each side by '3'.
3 + 2.666666667x + x2 = 0

Move the constant term to the right:

Add '-3' to each side of the equation.
3 + 2.666666667x + -3 + x2 = 0 + -3

Reorder the terms:
3 + -3 + 2.666666667x + x2 = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 2.666666667x + x2 = 0 + -3
2.666666667x + x2 = 0 + -3

Combine like terms: 0 + -3 = -3
2.666666667x + x2 = -3

The x term is 2.666666667x.  Take half its coefficient (1.333333334).
Square it (1.777777780) and add it to both sides.

Add '1.777777780' to each side of the equation.
2.666666667x + 1.777777780 + x2 = -3 + 1.777777780

Reorder the terms:
1.777777780 + 2.666666667x + x2 = -3 + 1.777777780

Combine like terms: -3 + 1.777777780 = -1.22222222
1.777777780 + 2.666666667x + x2 = -1.22222222

Factor a perfect square on the left side:
(x + 1.333333334)(x + 1.333333334) = -1.22222222

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}