n^2-16n+50=2

Solution for n^2-16n+50=2 equation:

Simplifying
n2 + -16n + 50 = 2

Reorder the terms:
50 + -16n + n2 = 2

Solving
50 + -16n + n2 = 2

Solving for variable 'n'.

Reorder the terms:
50 + -2 + -16n + n2 = 2 + -2

Combine like terms: 50 + -2 = 48
48 + -16n + n2 = 2 + -2

Combine like terms: 2 + -2 = 0
48 + -16n + n2 = 0

Factor a trinomial.
(4 + -1n)(12 + -1n) = 0

Subproblem 1
Set the factor '(4 + -1n)' equal to zero and attempt to solve:

Simplifying
4 + -1n = 0

Solving
4 + -1n = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1n = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1n = 0 + -4
-1n = 0 + -4

Combine like terms: 0 + -4 = -4
-1n = -4

Divide each side by '-1'.
n = 4

Simplifying
n = 4
Subproblem 2
Set the factor '(12 + -1n)' equal to zero and attempt to solve:

Simplifying
12 + -1n = 0

Solving
12 + -1n = 0

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

Add '-12' to each side of the equation.
12 + -12 + -1n = 0 + -12

Combine like terms: 12 + -12 = 0
0 + -1n = 0 + -12
-1n = 0 + -12

Combine like terms: 0 + -12 = -12
-1n = -12

Divide each side by '-1'.
n = 12

Simplifying
n = 12
Solution
n = {4, 12}