9m^3+m^2=0

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

Simplifying
9m3 + m2 = 0

Reorder the terms:
m2 + 9m3 = 0

Solving
m2 + 9m3 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), 'm2'.
m2(1 + 9m) = 0

Subproblem 1
Set the factor 'm2' equal to zero and attempt to solve:

Simplifying
m2 = 0

Solving
m2 = 0

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

Simplifying
m2 = 0

Take the square root of each side:
m = {0}
Subproblem 2
Set the factor '(1 + 9m)' equal to zero and attempt to solve:

Simplifying
1 + 9m = 0

Solving
1 + 9m = 0

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

Add '-1' to each side of the equation.
1 + -1 + 9m = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 9m = 0 + -1
9m = 0 + -1

Combine like terms: 0 + -1 = -1
9m = -1

Divide each side by '9'.
m = -0.1111111111

Simplifying
m = -0.1111111111
Solution
m = {0, -0.1111111111}