n^2-18n+24=-8

Solution for n^2-18n+24=-8 equation:

Simplifying
n2 + -18n + 24 = -8

Reorder the terms:
24 + -18n + n2 = -8

Solving
24 + -18n + n2 = -8

Solving for variable 'n'.

Reorder the terms:
24 + 8 + -18n + n2 = -8 + 8

Combine like terms: 24 + 8 = 32
32 + -18n + n2 = -8 + 8

Combine like terms: -8 + 8 = 0
32 + -18n + n2 = 0

Factor a trinomial.
(2 + -1n)(16 + -1n) = 0

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

Simplifying
2 + -1n = 0

Solving
2 + -1n = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1n = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1n = 0 + -2
-1n = 0 + -2

Combine like terms: 0 + -2 = -2
-1n = -2

Divide each side by '-1'.
n = 2

Simplifying
n = 2
Subproblem 2
Set the factor '(16 + -1n)' equal to zero and attempt to solve:

Simplifying
16 + -1n = 0

Solving
16 + -1n = 0

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

Add '-16' to each side of the equation.
16 + -16 + -1n = 0 + -16

Combine like terms: 16 + -16 = 0
0 + -1n = 0 + -16
-1n = 0 + -16

Combine like terms: 0 + -16 = -16
-1n = -16

Divide each side by '-1'.
n = 16

Simplifying
n = 16
Solution
n = {2, 16}