48+19m+m^2=0

Solution for 48+19m+m^2=0 equation:

Simplifying
48 + 19m + m2 = 0

Solving
48 + 19m + m2 = 0

Solving for variable 'm'.

Factor a trinomial.
(16 + m)(3 + m) = 0

Subproblem 1
Set the factor '(16 + m)' equal to zero and attempt to solve:

Simplifying
16 + m = 0

Solving
16 + m = 0

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

Add '-16' to each side of the equation.
16 + -16 + m = 0 + -16

Combine like terms: 16 + -16 = 0
0 + m = 0 + -16
m = 0 + -16

Combine like terms: 0 + -16 = -16
m = -16

Simplifying
m = -16
Subproblem 2
Set the factor '(3 + m)' equal to zero and attempt to solve:

Simplifying
3 + m = 0

Solving
3 + m = 0

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

Add '-3' to each side of the equation.
3 + -3 + m = 0 + -3

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

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

Simplifying
m = -3
Solution
m = {-16, -3}