n^2+16n-63=

Solution for n^2+16n-63= equation:

Simplifying
n2 + 16n + -63 = 0

Reorder the terms:
-63 + 16n + n2 = 0

Solving
-63 + 16n + n2 = 0

Solving for variable 'n'.

Begin completing the square.

Move the constant term to the right:

Add '63' to each side of the equation.
-63 + 16n + 63 + n2 = 0 + 63

Reorder the terms:
-63 + 63 + 16n + n2 = 0 + 63

Combine like terms: -63 + 63 = 0
0 + 16n + n2 = 0 + 63
16n + n2 = 0 + 63

Combine like terms: 0 + 63 = 63
16n + n2 = 63

The n term is 16n.  Take half its coefficient (8).
Square it (64) and add it to both sides.

Add '64' to each side of the equation.
16n + 64 + n2 = 63 + 64

Reorder the terms:
64 + 16n + n2 = 63 + 64

Combine like terms: 63 + 64 = 127
64 + 16n + n2 = 127

Factor a perfect square on the left side:
(n + 8)(n + 8) = 127

Calculate the square root of the right side: 11.26942767

Break this problem into two subproblems by setting 
(n + 8) equal to 11.26942767 and -11.26942767.

Subproblem 1
n + 8 = 11.26942767

Simplifying
n + 8 = 11.26942767

Reorder the terms:
8 + n = 11.26942767

Solving
8 + n = 11.26942767

Solving for variable 'n'.

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

Add '-8' to each side of the equation.
8 + -8 + n = 11.26942767 + -8

Combine like terms: 8 + -8 = 0
0 + n = 11.26942767 + -8
n = 11.26942767 + -8

Combine like terms: 11.26942767 + -8 = 3.26942767
n = 3.26942767

Simplifying
n = 3.26942767

Subproblem 2
n + 8 = -11.26942767

Simplifying
n + 8 = -11.26942767

Reorder the terms:
8 + n = -11.26942767

Solving
8 + n = -11.26942767

Solving for variable 'n'.

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

Add '-8' to each side of the equation.
8 + -8 + n = -11.26942767 + -8

Combine like terms: 8 + -8 = 0
0 + n = -11.26942767 + -8
n = -11.26942767 + -8

Combine like terms: -11.26942767 + -8 = -19.26942767
n = -19.26942767

Simplifying
n = -19.26942767

Solution
The solution to the problem is based on the solutions
from the subproblems.
n = {3.26942767, -19.26942767}