(n-2)(8n-2)=

Solution for (n-2)(8n-2)= equation:

Simplifying
(n + -2)(8n + -2) = 0

Reorder the terms:
(-2 + n)(8n + -2) = 0

Reorder the terms:
(-2 + n)(-2 + 8n) = 0

Multiply (-2 + n) * (-2 + 8n)
(-2(-2 + 8n) + n(-2 + 8n)) = 0
((-2 * -2 + 8n * -2) + n(-2 + 8n)) = 0
((4 + -16n) + n(-2 + 8n)) = 0
(4 + -16n + (-2 * n + 8n * n)) = 0
(4 + -16n + (-2n + 8n2)) = 0

Combine like terms: -16n + -2n = -18n
(4 + -18n + 8n2) = 0

Solving
4 + -18n + 8n2 = 0

Solving for variable 'n'.

Factor out the Greatest Common Factor (GCF), '2'.
2(2 + -9n + 4n2) = 0

Factor a trinomial.
2((1 + -4n)(2 + -1n)) = 0

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

Simplifying
1 + -4n = 0

Solving
1 + -4n = 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 + -4n = 0 + -1

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

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

Divide each side by '-4'.
n = 0.25

Simplifying
n = 0.25
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 = {0.25, 2}