16n^2-8n+1=16

Solution for 16n^2-8n+1=16 equation:

Simplifying
16n2 + -8n + 1 = 16

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

Solving
1 + -8n + 16n2 = 16

Solving for variable 'n'.

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

Combine like terms: 1 + -16 = -15
-15 + -8n + 16n2 = 16 + -16

Combine like terms: 16 + -16 = 0
-15 + -8n + 16n2 = 0

Factor a trinomial.
(-3 + -4n)(5 + -4n) = 0

Subproblem 1
Set the factor '(-3 + -4n)' equal to zero and attempt to solve:

Simplifying
-3 + -4n = 0

Solving
-3 + -4n = 0

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

Add '3' to each side of the equation.
-3 + 3 + -4n = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -4n = 0 + 3
-4n = 0 + 3

Combine like terms: 0 + 3 = 3
-4n = 3

Divide each side by '-4'.
n = -0.75

Simplifying
n = -0.75
Subproblem 2
Set the factor '(5 + -4n)' equal to zero and attempt to solve:

Simplifying
5 + -4n = 0

Solving
5 + -4n = 0

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

Add '-5' to each side of the equation.
5 + -5 + -4n = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -4n = 0 + -5
-4n = 0 + -5

Combine like terms: 0 + -5 = -5
-4n = -5

Divide each side by '-4'.
n = 1.25

Simplifying
n = 1.25
Solution
n = {-0.75, 1.25}