9m^2+39m+30=0

Solution for 9m^2+39m+30=0 equation:

Simplifying
9m2 + 39m + 30 = 0

Reorder the terms:
30 + 39m + 9m2 = 0

Solving
30 + 39m + 9m2 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), '3'.
3(10 + 13m + 3m2) = 0

Factor a trinomial.
3((10 + 3m)(1 + m)) = 0

Ignore the factor 3.
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 '(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 = {-3.333333333, -1}