18x^3+15x^2+6x=

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Solution for 18x^3+15x^2+6x= equation: 


Simplifying
18x3 + 15x2 + 6x = 0

Reorder the terms:
6x + 15x2 + 18x3 = 0

Solving
6x + 15x2 + 18x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3x'.
3x(2 + 5x + 6x2) = 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 '(2 + 5x + 6x2)' equal to zero and attempt to solve:

Simplifying
2 + 5x + 6x2 = 0

Solving
2 + 5x + 6x2 = 0

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

Divide each side by '6'.
0.3333333333 + 0.8333333333x + x2 = 0

Move the constant term to the right:

Add '-0.3333333333' to each side of the equation.
0.3333333333 + 0.8333333333x + -0.3333333333 + x2 = 0 + -0.3333333333

Reorder the terms:
0.3333333333 + -0.3333333333 + 0.8333333333x + x2 = 0 + -0.3333333333

Combine like terms: 0.3333333333 + -0.3333333333 = 0.0000000000
0.0000000000 + 0.8333333333x + x2 = 0 + -0.3333333333
0.8333333333x + x2 = 0 + -0.3333333333

Combine like terms: 0 + -0.3333333333 = -0.3333333333
0.8333333333x + x2 = -0.3333333333

The x term is 0.8333333333x.  Take half its coefficient (0.4166666667).
Square it (0.1736111111) and add it to both sides.

Add '0.1736111111' to each side of the equation.
0.8333333333x + 0.1736111111 + x2 = -0.3333333333 + 0.1736111111

Reorder the terms:
0.1736111111 + 0.8333333333x + x2 = -0.3333333333 + 0.1736111111

Combine like terms: -0.3333333333 + 0.1736111111 = -0.1597222222
0.1736111111 + 0.8333333333x + x2 = -0.1597222222

Factor a perfect square on the left side:
(x + 0.4166666667)(x + 0.4166666667) = -0.1597222222

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}

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