3m^2+16m+13=0

Solution for 3m^2+16m+13=0 equation:

Simplifying
3m2 + 16m + 13 = 0

Reorder the terms:
13 + 16m + 3m2 = 0

Solving
13 + 16m + 3m2 = 0

Solving for variable 'm'.

Factor a trinomial.
(13 + 3m)(1 + m) = 0

Subproblem 1
Set the factor '(13 + 3m)' equal to zero and attempt to solve:

Simplifying
13 + 3m = 0

Solving
13 + 3m = 0

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

Add '-13' to each side of the equation.
13 + -13 + 3m = 0 + -13

Combine like terms: 13 + -13 = 0
0 + 3m = 0 + -13
3m = 0 + -13

Combine like terms: 0 + -13 = -13
3m = -13

Divide each side by '3'.
m = -4.333333333

Simplifying
m = -4.333333333
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 = {-4.333333333, -1}