m(3m)+19m+16=0

Solution for m(3m)+19m+16=0 equation:

Simplifying
m(3m) + 19m + 16 = 0

Remove parenthesis around (3m)
m * 3m + 19m + 16 = 0

Reorder the terms for easier multiplication:
3m * m + 19m + 16 = 0

Multiply m * m
3m2 + 19m + 16 = 0

Reorder the terms:
16 + 19m + 3m2 = 0

Solving
16 + 19m + 3m2 = 0

Solving for variable 'm'.

Factor a trinomial.
(16 + 3m)(1 + m) = 0

Subproblem 1
Set the factor '(16 + 3m)' equal to zero and attempt to solve:

Simplifying
16 + 3m = 0

Solving
16 + 3m = 0

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

Add '-16' to each side of the equation.
16 + -16 + 3m = 0 + -16

Combine like terms: 16 + -16 = 0
0 + 3m = 0 + -16
3m = 0 + -16

Combine like terms: 0 + -16 = -16
3m = -16

Divide each side by '3'.
m = -5.333333333

Simplifying
m = -5.333333333
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 = {-5.333333333, -1}