3n^2=-26n-48

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

Simplifying
3n2 = -26n + -48

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

Solving
3n2 = -48 + -26n

Solving for variable 'n'.

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

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

Combine like terms: -48 + 48 = 0
48 + 26n + 3n2 = 0 + -26n + 26n
48 + 26n + 3n2 = -26n + 26n

Combine like terms: -26n + 26n = 0
48 + 26n + 3n2 = 0

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

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}