3m^2+13m=-4

Solution for 3m^2+13m=-4 equation:

Simplifying
3m2 + 13m = -4

Reorder the terms:
13m + 3m2 = -4

Solving
13m + 3m2 = -4

Solving for variable 'm'.

Reorder the terms:
4 + 13m + 3m2 = -4 + 4

Combine like terms: -4 + 4 = 0
4 + 13m + 3m2 = 0

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

Subproblem 1
Set the factor '(4 + m)' equal to zero and attempt to solve:

Simplifying
4 + m = 0

Solving
4 + m = 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 + m = 0 + -4

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

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

Simplifying
m = -4
Subproblem 2
Set the factor '(1 + 3m)' equal to zero and attempt to solve:

Simplifying
1 + 3m = 0

Solving
1 + 3m = 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 + 3m = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 3m = 0 + -1
3m = 0 + -1

Combine like terms: 0 + -1 = -1
3m = -1

Divide each side by '3'.
m = -0.3333333333

Simplifying
m = -0.3333333333
Solution
m = {-4, -0.3333333333}