(n-1)(2n-2)=

Solution for (n-1)(2n-2)= equation:

Simplifying
(n + -1)(2n + -2) = 0

Reorder the terms:
(-1 + n)(2n + -2) = 0

Reorder the terms:
(-1 + n)(-2 + 2n) = 0

Multiply (-1 + n) * (-2 + 2n)
(-1(-2 + 2n) + n(-2 + 2n)) = 0
((-2 * -1 + 2n * -1) + n(-2 + 2n)) = 0
((2 + -2n) + n(-2 + 2n)) = 0
(2 + -2n + (-2 * n + 2n * n)) = 0
(2 + -2n + (-2n + 2n2)) = 0

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

Solving
2 + -4n + 2n2 = 0

Solving for variable 'n'.

Factor out the Greatest Common Factor (GCF), '2'.
2(1 + -2n + n2) = 0

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

Ignore the factor 2.
Subproblem 1
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
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 = {1, 1}