3k^2+26k+48=0

Solution for 3k^2+26k+48=0 equation:

Simplifying
3k2 + 26k + 48 = 0

Reorder the terms:
48 + 26k + 3k2 = 0

Solving
48 + 26k + 3k2 = 0

Solving for variable 'k'.

Factor a trinomial.
(6 + k)(8 + 3k) = 0

Subproblem 1
Set the factor '(6 + k)' equal to zero and attempt to solve:

Simplifying
6 + k = 0

Solving
6 + k = 0

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

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

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

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

Simplifying
k = -6
Subproblem 2
Set the factor '(8 + 3k)' equal to zero and attempt to solve:

Simplifying
8 + 3k = 0

Solving
8 + 3k = 0

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

Add '-8' to each side of the equation.
8 + -8 + 3k = 0 + -8

Combine like terms: 8 + -8 = 0
0 + 3k = 0 + -8
3k = 0 + -8

Combine like terms: 0 + -8 = -8
3k = -8

Divide each side by '3'.
k = -2.666666667

Simplifying
k = -2.666666667
Solution
k = {-6, -2.666666667}