3m(6m+18)=

Solution for 3m(6m+18)= equation:

Simplifying
3m(6m + 18) = 0

Reorder the terms:
3m(18 + 6m) = 0
(18 * 3m + 6m * 3m) = 0
(54m + 18m2) = 0

Solving
54m + 18m2 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), '18m'.
18m(3 + m) = 0

Ignore the factor 18.
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}