3m^2+19m=-20

Solution for 3m^2+19m=-20 equation:

Simplifying
3m2 + 19m = -20

Reorder the terms:
19m + 3m2 = -20

Solving
19m + 3m2 = -20

Solving for variable 'm'.

Reorder the terms:
20 + 19m + 3m2 = -20 + 20

Combine like terms: -20 + 20 = 0
20 + 19m + 3m2 = 0

Factor a trinomial.
(5 + m)(4 + 3m) = 0

Subproblem 1
Set the factor '(5 + m)' equal to zero and attempt to solve:

Simplifying
5 + m = 0

Solving
5 + m = 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 + m = 0 + -5

Combine like terms: 5 + -5 = 0
0 + m = 0 + -5
m = 0 + -5

Combine like terms: 0 + -5 = -5
m = -5

Simplifying
m = -5
Subproblem 2
Set the factor '(4 + 3m)' equal to zero and attempt to solve:

Simplifying
4 + 3m = 0

Solving
4 + 3m = 0

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

Add '-4' to each side of the equation.
4 + -4 + 3m = 0 + -4

Combine like terms: 4 + -4 = 0
0 + 3m = 0 + -4
3m = 0 + -4

Combine like terms: 0 + -4 = -4
3m = -4

Divide each side by '3'.
m = -1.333333333

Simplifying
m = -1.333333333
Solution
m = {-5, -1.333333333}