m^2+14m+24=0

Solution for m^2+14m+24=0 equation:

Simplifying
m2 + 14m + 24 = 0

Reorder the terms:
24 + 14m + m2 = 0

Solving
24 + 14m + m2 = 0

Solving for variable 'm'.

Factor a trinomial.
(12 + m)(2 + m) = 0

Subproblem 1
Set the factor '(12 + m)' equal to zero and attempt to solve:

Simplifying
12 + m = 0

Solving
12 + m = 0

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

Add '-12' to each side of the equation.
12 + -12 + m = 0 + -12

Combine like terms: 12 + -12 = 0
0 + m = 0 + -12
m = 0 + -12

Combine like terms: 0 + -12 = -12
m = -12

Simplifying
m = -12
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 = {-12, -2}