3m(2n+5)=

Solution for 3m(2n+5)= equation:

Simplifying
3m(2n + 5) = 0

Reorder the terms:
3m(5 + 2n) = 0
(5 * 3m + 2n * 3m) = 0
(15m + 6mn) = 0

Solving
15m + 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), '3m'.
3m(5 + 2n) = 0

Ignore the factor 3.
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 '(5 + 2n)' equal to zero and attempt to solve:

Simplifying
5 + 2n = 0

Solving
5 + 2n = 0

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

Add '-5' to each side of the equation.
5 + -5 + 2n = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 2n = 0 + -5
2n = 0 + -5

Combine like terms: 0 + -5 = -5
2n = -5

Add '-2n' to each side of the equation.
2n + -2n = -5 + -2n

Combine like terms: 2n + -2n = 0
0 = -5 + -2n

Simplifying
0 = -5 + -2n

The solution to this equation could not be determined.

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