6m(2+8m)=

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

Simplifying
6m(2 + 8m) = 0
(2 * 6m + 8m * 6m) = 0
(12m + 48m2) = 0

Solving
12m + 48m2 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), '12m'.
12m(1 + 4m) = 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 '(1 + 4m)' equal to zero and attempt to solve:

Simplifying
1 + 4m = 0

Solving
1 + 4m = 0

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

Add '-1' to each side of the equation.
1 + -1 + 4m = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 4m = 0 + -1
4m = 0 + -1

Combine like terms: 0 + -1 = -1
4m = -1

Divide each side by '4'.
m = -0.25

Simplifying
m = -0.25
Solution
m = {0, -0.25}