n^2+16n-39=-3

Solution for n^2+16n-39=-3 equation:

Simplifying
n2 + 16n + -39 = -3

Reorder the terms:
-39 + 16n + n2 = -3

Solving
-39 + 16n + n2 = -3

Solving for variable 'n'.

Reorder the terms:
-39 + 3 + 16n + n2 = -3 + 3

Combine like terms: -39 + 3 = -36
-36 + 16n + n2 = -3 + 3

Combine like terms: -3 + 3 = 0
-36 + 16n + n2 = 0

Factor a trinomial.
(-18 + -1n)(2 + -1n) = 0

Subproblem 1
Set the factor '(-18 + -1n)' equal to zero and attempt to solve:

Simplifying
-18 + -1n = 0

Solving
-18 + -1n = 0

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

Add '18' to each side of the equation.
-18 + 18 + -1n = 0 + 18

Combine like terms: -18 + 18 = 0
0 + -1n = 0 + 18
-1n = 0 + 18

Combine like terms: 0 + 18 = 18
-1n = 18

Divide each side by '-1'.
n = -18

Simplifying
n = -18
Subproblem 2
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
Solution
n = {-18, 2}