3m^2+13m+14=0

Solution for 3m^2+13m+14=0 equation:

Simplifying
3m2 + 13m + 14 = 0

Reorder the terms:
14 + 13m + 3m2 = 0

Solving
14 + 13m + 3m2 = 0

Solving for variable 'm'.

Factor a trinomial.
(7 + 3m)(2 + m) = 0

Subproblem 1
Set the factor '(7 + 3m)' equal to zero and attempt to solve:

Simplifying
7 + 3m = 0

Solving
7 + 3m = 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 + 3m = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 3m = 0 + -7
3m = 0 + -7

Combine like terms: 0 + -7 = -7
3m = -7

Divide each side by '3'.
m = -2.333333333

Simplifying
m = -2.333333333
Subproblem 2
Set the factor '(2 + m)' equal to zero and attempt to solve:

Simplifying
2 + m = 0

Solving
2 + m = 0

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

Add '-2' to each side of the equation.
2 + -2 + m = 0 + -2

Combine like terms: 2 + -2 = 0
0 + m = 0 + -2
m = 0 + -2

Combine like terms: 0 + -2 = -2
m = -2

Simplifying
m = -2
Solution
m = {-2.333333333, -2}