n^2-16n-19=-2

Solution for n^2-16n-19=-2 equation:

Simplifying
n2 + -16n + -19 = -2

Reorder the terms:
-19 + -16n + n2 = -2

Solving
-19 + -16n + n2 = -2

Solving for variable 'n'.

Reorder the terms:
-19 + 2 + -16n + n2 = -2 + 2

Combine like terms: -19 + 2 = -17
-17 + -16n + n2 = -2 + 2

Combine like terms: -2 + 2 = 0
-17 + -16n + n2 = 0

Factor a trinomial.
(-1 + -1n)(17 + -1n) = 0

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

Simplifying
-1 + -1n = 0

Solving
-1 + -1n = 0

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

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

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

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

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

Simplifying
n = -1
Subproblem 2
Set the factor '(17 + -1n)' equal to zero and attempt to solve:

Simplifying
17 + -1n = 0

Solving
17 + -1n = 0

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

Add '-17' to each side of the equation.
17 + -17 + -1n = 0 + -17

Combine like terms: 17 + -17 = 0
0 + -1n = 0 + -17
-1n = 0 + -17

Combine like terms: 0 + -17 = -17
-1n = -17

Divide each side by '-1'.
n = 17

Simplifying
n = 17
Solution
n = {-1, 17}