4=n^2-8n+16

Solution for 4=n^2-8n+16 equation:

Simplifying
4 = n2 + -8n + 16

Reorder the terms:
4 = 16 + -8n + n2

Solving
4 = 16 + -8n + n2

Solving for variable 'n'.

Combine like terms: 4 + -16 = -12
-12 + 8n + -1n2 = 16 + -8n + n2 + -16 + 8n + -1n2

Reorder the terms:
-12 + 8n + -1n2 = 16 + -16 + -8n + 8n + n2 + -1n2

Combine like terms: 16 + -16 = 0
-12 + 8n + -1n2 = 0 + -8n + 8n + n2 + -1n2
-12 + 8n + -1n2 = -8n + 8n + n2 + -1n2

Combine like terms: -8n + 8n = 0
-12 + 8n + -1n2 = 0 + n2 + -1n2
-12 + 8n + -1n2 = n2 + -1n2

Combine like terms: n2 + -1n2 = 0
-12 + 8n + -1n2 = 0

Factor a trinomial.
(-6 + n)(2 + -1n) = 0

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

Simplifying
-6 + n = 0

Solving
-6 + n = 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 + n = 0 + 6

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

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

Simplifying
n = 6
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 = {6, 2}