18n^2+11n-24=0

Solution for 18n^2+11n-24=0 equation:

Simplifying
18n2 + 11n + -24 = 0

Reorder the terms:
-24 + 11n + 18n2 = 0

Solving
-24 + 11n + 18n2 = 0

Solving for variable 'n'.

Factor a trinomial.
(-3 + -2n)(8 + -9n) = 0

Subproblem 1
Set the factor '(-3 + -2n)' equal to zero and attempt to solve:

Simplifying
-3 + -2n = 0

Solving
-3 + -2n = 0

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

Add '3' to each side of the equation.
-3 + 3 + -2n = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -2n = 0 + 3
-2n = 0 + 3

Combine like terms: 0 + 3 = 3
-2n = 3

Divide each side by '-2'.
n = -1.5

Simplifying
n = -1.5
Subproblem 2
Set the factor '(8 + -9n)' equal to zero and attempt to solve:

Simplifying
8 + -9n = 0

Solving
8 + -9n = 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 + -9n = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -9n = 0 + -8
-9n = 0 + -8

Combine like terms: 0 + -8 = -8
-9n = -8

Divide each side by '-9'.
n = 0.8888888889

Simplifying
n = 0.8888888889
Solution
n = {-1.5, 0.8888888889}