(-n+1)(-8n-1)=

Solution for (-n+1)(-8n-1)= equation:

Simplifying
(-1n + 1)(-8n + -1) = 0

Reorder the terms:
(1 + -1n)(-8n + -1) = 0

Reorder the terms:
(1 + -1n)(-1 + -8n) = 0

Multiply (1 + -1n) * (-1 + -8n)
(1(-1 + -8n) + -1n * (-1 + -8n)) = 0
((-1 * 1 + -8n * 1) + -1n * (-1 + -8n)) = 0
((-1 + -8n) + -1n * (-1 + -8n)) = 0
(-1 + -8n + (-1 * -1n + -8n * -1n)) = 0
(-1 + -8n + (1n + 8n2)) = 0

Combine like terms: -8n + 1n = -7n
(-1 + -7n + 8n2) = 0

Solving
-1 + -7n + 8n2 = 0

Solving for variable 'n'.

Factor a trinomial.
(-1 + -8n)(1 + -1n) = 0

Subproblem 1
Set the factor '(-1 + -8n)' equal to zero and attempt to solve:

Simplifying
-1 + -8n = 0

Solving
-1 + -8n = 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 + -8n = 0 + 1

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

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

Divide each side by '-8'.
n = -0.125

Simplifying
n = -0.125
Subproblem 2
Set the factor '(1 + -1n)' equal to zero and attempt to solve:

Simplifying
1 + -1n = 0

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

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

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

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

Simplifying
n = 1
Solution
n = {-0.125, 1}