n^2-12n+44=8

Solution for n^2-12n+44=8 equation:

Simplifying
n2 + -12n + 44 = 8

Reorder the terms:
44 + -12n + n2 = 8

Solving
44 + -12n + n2 = 8

Solving for variable 'n'.

Reorder the terms:
44 + -8 + -12n + n2 = 8 + -8

Combine like terms: 44 + -8 = 36
36 + -12n + n2 = 8 + -8

Combine like terms: 8 + -8 = 0
36 + -12n + n2 = 0

Factor a trinomial.
(6 + -1n)(6 + -1n) = 0

Subproblem 1
Set the factor '(6 + -1n)' equal to zero and attempt to solve:

Simplifying
6 + -1n = 0

Solving
6 + -1n = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1n = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1n = 0 + -6
-1n = 0 + -6

Combine like terms: 0 + -6 = -6
-1n = -6

Divide each side by '-1'.
n = 6

Simplifying
n = 6
Subproblem 2
Set the factor '(6 + -1n)' equal to zero and attempt to solve:

Simplifying
6 + -1n = 0

Solving
6 + -1n = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1n = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1n = 0 + -6
-1n = 0 + -6

Combine like terms: 0 + -6 = -6
-1n = -6

Divide each side by '-1'.
n = 6

Simplifying
n = 6
Solution
n = {6, 6}