4m(m+6)=0

Solution for 4m(m+6)=0 equation:

Simplifying
4m(m + 6) = 0

Reorder the terms:
4m(6 + m) = 0
(6 * 4m + m * 4m) = 0
(24m + 4m2) = 0

Solving
24m + 4m2 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), '4m'.
4m(6 + m) = 0

Ignore the factor 4.
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 '(6 + m)' equal to zero and attempt to solve:

Simplifying
6 + m = 0

Solving
6 + m = 0

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

Add '-6' to each side of the equation.
6 + -6 + m = 0 + -6

Combine like terms: 6 + -6 = 0
0 + m = 0 + -6
m = 0 + -6

Combine like terms: 0 + -6 = -6
m = -6

Simplifying
m = -6
Solution
m = {0, -6}