6m^2+31m+28=0

Solution for 6m^2+31m+28=0 equation:

Simplifying
6m2 + 31m + 28 = 0

Reorder the terms:
28 + 31m + 6m2 = 0

Solving
28 + 31m + 6m2 = 0

Solving for variable 'm'.

Factor a trinomial.
(4 + m)(7 + 6m) = 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 '(7 + 6m)' equal to zero and attempt to solve:

Simplifying
7 + 6m = 0

Solving
7 + 6m = 0

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

Add '-7' to each side of the equation.
7 + -7 + 6m = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 6m = 0 + -7
6m = 0 + -7

Combine like terms: 0 + -7 = -7
6m = -7

Divide each side by '6'.
m = -1.166666667

Simplifying
m = -1.166666667
Solution
m = {-4, -1.166666667}