-3n^2-26n-48=0

Solution for -3n^2-26n-48=0 equation:

Simplifying
-3n2 + -26n + -48 = 0

Reorder the terms:
-48 + -26n + -3n2 = 0

Solving
-48 + -26n + -3n2 = 0

Solving for variable 'n'.

Factor out the Greatest Common Factor (GCF), '-1'.
-1(48 + 26n + 3n2) = 0

Factor a trinomial.
-1((6 + n)(8 + 3n)) = 0

Ignore the factor -1.
Subproblem 1
Set the factor '(6 + n)' equal to zero and attempt to solve:

Simplifying
6 + n = 0

Solving
6 + n = 0

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

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

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

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

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

Simplifying
8 + 3n = 0

Solving
8 + 3n = 0

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

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

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

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

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

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