12m^3+3m^2+9m=0

Solution for 12m^3+3m^2+9m=0 equation:

Simplifying
12m3 + 3m2 + 9m = 0

Reorder the terms:
9m + 3m2 + 12m3 = 0

Solving
9m + 3m2 + 12m3 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), '3m'.
3m(3 + m + 4m2) = 0

Ignore the factor 3.
Subproblem 1
Set the factor 'm' equal to zero and attempt to solve:

Simplifying
m = 0

Solving
m = 0

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

Simplifying
m = 0
Subproblem 2
Set the factor '(3 + m + 4m2)' equal to zero and attempt to solve:

Simplifying
3 + m + 4m2 = 0

Solving
3 + m + 4m2 = 0

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

Divide each side by '4'.
0.75 + 0.25m + m2 = 0

Move the constant term to the right:

Add '-0.75' to each side of the equation.
0.75 + 0.25m + -0.75 + m2 = 0 + -0.75

Reorder the terms:
0.75 + -0.75 + 0.25m + m2 = 0 + -0.75

Combine like terms: 0.75 + -0.75 = 0.00
0.00 + 0.25m + m2 = 0 + -0.75
0.25m + m2 = 0 + -0.75

Combine like terms: 0 + -0.75 = -0.75
0.25m + m2 = -0.75

The m term is m.  Take half its coefficient (0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
0.25m + 0.25 + m2 = -0.75 + 0.25

Reorder the terms:
0.25 + 0.25m + m2 = -0.75 + 0.25

Combine like terms: -0.75 + 0.25 = -0.5
0.25 + 0.25m + m2 = -0.5

Factor a perfect square on the left side:
(m + 0.5)(m + 0.5) = -0.5

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
m = {0}