6m(n+1)=

Solution for 6m(n+1)= equation:

Simplifying
6m(n + 1) = 0

Reorder the terms:
6m(1 + n) = 0
(1 * 6m + n * 6m) = 0
(6m + 6mn) = 0

Solving
6m + 6mn = 0

Solving for variable 'm'.

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

Factor out the Greatest Common Factor (GCF), '6m'.
6m(1 + n) = 0

Ignore the factor 6.
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 + n)' equal to zero and attempt to solve:

Simplifying
1 + n = 0

Solving
1 + n = 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 + n = 0 + -1

Combine like terms: 1 + -1 = 0
0 + n = 0 + -1
n = 0 + -1

Combine like terms: 0 + -1 = -1
n = -1

Add '-1n' to each side of the equation.
n + -1n = -1 + -1n

Combine like terms: n + -1n = 0
0 = -1 + -1n

Simplifying
0 = -1 + -1n

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
m = {0}