3m^2(10+m)=0

Solution for 3m^2(10+m)=0 equation:

Simplifying
3m2(10 + m) = 0
(10 * 3m2 + m * 3m2) = 0
(30m2 + 3m3) = 0

Solving
30m2 + 3m3 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), '3m2'.
3m2(10 + m) = 0

Ignore the factor 3.
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 '(10 + m)' equal to zero and attempt to solve:

Simplifying
10 + m = 0

Solving
10 + m = 0

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

Add '-10' to each side of the equation.
10 + -10 + m = 0 + -10

Combine like terms: 10 + -10 = 0
0 + m = 0 + -10
m = 0 + -10

Combine like terms: 0 + -10 = -10
m = -10

Simplifying
m = -10
Solution
m = {0, -10}