6m^2+29m+30=0

Solution for 6m^2+29m+30=0 equation:

Simplifying
6m2 + 29m + 30 = 0

Reorder the terms:
30 + 29m + 6m2 = 0

Solving
30 + 29m + 6m2 = 0

Solving for variable 'm'.

Factor a trinomial.
(10 + 3m)(3 + 2m) = 0

Subproblem 1
Set the factor '(10 + 3m)' equal to zero and attempt to solve:

Simplifying
10 + 3m = 0

Solving
10 + 3m = 0

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

Add '-10' to each side of the equation.
10 + -10 + 3m = 0 + -10

Combine like terms: 10 + -10 = 0
0 + 3m = 0 + -10
3m = 0 + -10

Combine like terms: 0 + -10 = -10
3m = -10

Divide each side by '3'.
m = -3.333333333

Simplifying
m = -3.333333333
Subproblem 2
Set the factor '(3 + 2m)' equal to zero and attempt to solve:

Simplifying
3 + 2m = 0

Solving
3 + 2m = 0

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

Add '-3' to each side of the equation.
3 + -3 + 2m = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 2m = 0 + -3
2m = 0 + -3

Combine like terms: 0 + -3 = -3
2m = -3

Divide each side by '2'.
m = -1.5

Simplifying
m = -1.5
Solution
m = {-3.333333333, -1.5}