=3m(m+3)

Solution for =3m(m+3) equation:

Simplifying
0 = 3m(m + 3)

Reorder the terms:
0 = 3m(3 + m)
0 = (3 * 3m + m * 3m)
0 = (9m + 3m2)

Solving
0 = 9m + 3m2

Solving for variable 'm'.
Remove the zero:
-9m + -3m2 = 9m + 3m2 + -9m + -3m2

Reorder the terms:
-9m + -3m2 = 9m + -9m + 3m2 + -3m2

Combine like terms: 9m + -9m = 0
-9m + -3m2 = 0 + 3m2 + -3m2
-9m + -3m2 = 3m2 + -3m2

Combine like terms: 3m2 + -3m2 = 0
-9m + -3m2 = 0

Factor out the Greatest Common Factor (GCF), '-3m'.
-3m(3 + m) = 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)' equal to zero and attempt to solve:

Simplifying
3 + m = 0

Solving
3 + m = 0

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

Add '-3' to each side of the equation.
3 + -3 + m = 0 + -3

Combine like terms: 3 + -3 = 0
0 + m = 0 + -3
m = 0 + -3

Combine like terms: 0 + -3 = -3
m = -3

Simplifying
m = -3
Solution
m = {0, -3}