15a^3+2a^2+9a=

Solution for 15a^3+2a^2+9a= equation:

Simplifying
15a3 + 2a2 + 9a = 0

Reorder the terms:
9a + 2a2 + 15a3 = 0

Solving
9a + 2a2 + 15a3 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), 'a'.
a(9 + 2a + 15a2) = 0

Subproblem 1
Set the factor 'a' equal to zero and attempt to solve:

Simplifying
a = 0

Solving
a = 0

Move all terms containing a to the left, all other terms to the right.

Simplifying
a = 0
Subproblem 2
Set the factor '(9 + 2a + 15a2)' equal to zero and attempt to solve:

Simplifying
9 + 2a + 15a2 = 0

Solving
9 + 2a + 15a2 = 0

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

Divide each side by '15'.
0.6 + 0.1333333333a + a2 = 0

Move the constant term to the right:

Add '-0.6' to each side of the equation.
0.6 + 0.1333333333a + -0.6 + a2 = 0 + -0.6

Reorder the terms:
0.6 + -0.6 + 0.1333333333a + a2 = 0 + -0.6

Combine like terms: 0.6 + -0.6 = 0.0
0.0 + 0.1333333333a + a2 = 0 + -0.6
0.1333333333a + a2 = 0 + -0.6

Combine like terms: 0 + -0.6 = -0.6
0.1333333333a + a2 = -0.6

The a term is 0.1333333333a.  Take half its coefficient (0.06666666665).
Square it (0.004444444442) and add it to both sides.

Add '0.004444444442' to each side of the equation.
0.1333333333a + 0.004444444442 + a2 = -0.6 + 0.004444444442

Reorder the terms:
0.004444444442 + 0.1333333333a + a2 = -0.6 + 0.004444444442

Combine like terms: -0.6 + 0.004444444442 = -0.595555555558
0.004444444442 + 0.1333333333a + a2 = -0.595555555558

Factor a perfect square on the left side:
(a + 0.06666666665)(a + 0.06666666665) = -0.595555555558

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
a = {0}