2n^2-39n+184=0

Solution for 2n^2-39n+184=0 equation:

Simplifying
2n2 + -39n + 184 = 0

Reorder the terms:
184 + -39n + 2n2 = 0

Solving
184 + -39n + 2n2 = 0

Solving for variable 'n'.

Factor a trinomial.
(8 + -1n)(23 + -2n) = 0

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

Simplifying
8 + -1n = 0

Solving
8 + -1n = 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 + -1n = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1n = 0 + -8
-1n = 0 + -8

Combine like terms: 0 + -8 = -8
-1n = -8

Divide each side by '-1'.
n = 8

Simplifying
n = 8
Subproblem 2
Set the factor '(23 + -2n)' equal to zero and attempt to solve:

Simplifying
23 + -2n = 0

Solving
23 + -2n = 0

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

Add '-23' to each side of the equation.
23 + -23 + -2n = 0 + -23

Combine like terms: 23 + -23 = 0
0 + -2n = 0 + -23
-2n = 0 + -23

Combine like terms: 0 + -23 = -23
-2n = -23

Divide each side by '-2'.
n = 11.5

Simplifying
n = 11.5
Solution
n = {8, 11.5}