n^2-(16n)+15=0

Solution for n^2-(16n)+15=0 equation:

Simplifying
n2 + -1(16n) + 15 = 0

Remove parenthesis around (16n)
n2 + -1 * 16n + 15 = 0

Multiply -1 * 16
n2 + -16n + 15 = 0

Reorder the terms:
15 + -16n + n2 = 0

Solving
15 + -16n + n2 = 0

Solving for variable 'n'.

Factor a trinomial.
(1 + -1n)(15 + -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 '(15 + -1n)' equal to zero and attempt to solve:

Simplifying
15 + -1n = 0

Solving
15 + -1n = 0

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

Add '-15' to each side of the equation.
15 + -15 + -1n = 0 + -15

Combine like terms: 15 + -15 = 0
0 + -1n = 0 + -15
-1n = 0 + -15

Combine like terms: 0 + -15 = -15
-1n = -15

Divide each side by '-1'.
n = 15

Simplifying
n = 15
Solution
n = {1, 15}