6m(2m+8)=

Solution for 6m(2m+8)= equation:

Simplifying
6m(2m + 8) = 0

Reorder the terms:
6m(8 + 2m) = 0
(8 * 6m + 2m * 6m) = 0
(48m + 12m2) = 0

Solving
48m + 12m2 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), '12m'.
12m(4 + m) = 0

Ignore the factor 12.
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 '(4 + m)' equal to zero and attempt to solve:

Simplifying
4 + m = 0

Solving
4 + m = 0

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

Add '-4' to each side of the equation.
4 + -4 + m = 0 + -4

Combine like terms: 4 + -4 = 0
0 + m = 0 + -4
m = 0 + -4

Combine like terms: 0 + -4 = -4
m = -4

Simplifying
m = -4
Solution
m = {0, -4}