6mn(m+1)=

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

Simplifying
6mn(m + 1) = 0

Reorder the terms:
6mn(1 + m) = 0
(1 * 6mn + m * 6mn) = 0
(6mn + 6m2n) = 0

Solving
6mn + 6m2n = 0

Solving for variable 'm'.

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

Ignore the factor 6.
Subproblem 1
Set the factor 'mn' equal to zero and attempt to solve:

Simplifying
mn = 0

Solving
mn = 0

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

Simplifying
mn = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Subproblem 2
Set the factor '(1 + m)' equal to zero and attempt to solve:

Simplifying
1 + m = 0

Solving
1 + m = 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 + m = 0 + -1

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

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

Simplifying
m = -1
Solution
m = {-1}