m^2=-14m-48

Solution for m^2=-14m-48 equation:

Simplifying
m2 = -14m + -48

Reorder the terms:
m2 = -48 + -14m

Solving
m2 = -48 + -14m

Solving for variable 'm'.

Reorder the terms:
48 + 14m + m2 = -48 + -14m + 48 + 14m

Reorder the terms:
48 + 14m + m2 = -48 + 48 + -14m + 14m

Combine like terms: -48 + 48 = 0
48 + 14m + m2 = 0 + -14m + 14m
48 + 14m + m2 = -14m + 14m

Combine like terms: -14m + 14m = 0
48 + 14m + m2 = 0

Factor a trinomial.
(8 + m)(6 + m) = 0

Subproblem 1
Set the factor '(8 + m)' equal to zero and attempt to solve:

Simplifying
8 + m = 0

Solving
8 + m = 0

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

Add '-8' to each side of the equation.
8 + -8 + m = 0 + -8

Combine like terms: 8 + -8 = 0
0 + m = 0 + -8
m = 0 + -8

Combine like terms: 0 + -8 = -8
m = -8

Simplifying
m = -8
Subproblem 2
Set the factor '(6 + m)' equal to zero and attempt to solve:

Simplifying
6 + m = 0

Solving
6 + m = 0

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

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

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

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

Simplifying
m = -6
Solution
m = {-8, -6}