2m+3(3m+2)=0

Solution for 2m+3(3m+2)=0 equation:

Simplifying
2m + 3(3m + 2) = 0

Reorder the terms:
2m + 3(2 + 3m) = 0
2m + (2 * 3 + 3m * 3) = 0
2m + (6 + 9m) = 0

Reorder the terms:
6 + 2m + 9m = 0

Combine like terms: 2m + 9m = 11m
6 + 11m = 0

Solving
6 + 11m = 0

Solving for variable 'm'.

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

Add '-6' to each side of the equation.
6 + -6 + 11m = 0 + -6

Combine like terms: 6 + -6 = 0
0 + 11m = 0 + -6
11m = 0 + -6

Combine like terms: 0 + -6 = -6
11m = -6

Divide each side by '11'.
m = -0.5454545455

Simplifying
m = -0.5454545455