(S-1)(S-1)=

Solution for (S-1)(S-1)= equation:

Simplifying
(S + -1)(S + -1) = 0

Reorder the terms:
(-1 + S)(S + -1) = 0

Reorder the terms:
(-1 + S)(-1 + S) = 0

Multiply (-1 + S) * (-1 + S)
(-1(-1 + S) + S(-1 + S)) = 0
((-1 * -1 + S * -1) + S(-1 + S)) = 0
((1 + -1S) + S(-1 + S)) = 0
(1 + -1S + (-1 * S + S * S)) = 0
(1 + -1S + (-1S + S2)) = 0

Combine like terms: -1S + -1S = -2S
(1 + -2S + S2) = 0

Solving
1 + -2S + S2 = 0

Solving for variable 'S'.

Factor a trinomial.
(1 + -1S)(1 + -1S) = 0

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

Simplifying
1 + -1S = 0

Solving
1 + -1S = 0

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

Add '-1' to each side of the equation.
1 + -1 + -1S = 0 + -1

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

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

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

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

Simplifying
1 + -1S = 0

Solving
1 + -1S = 0

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

Add '-1' to each side of the equation.
1 + -1 + -1S = 0 + -1

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

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

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

Simplifying
S = 1
Solution
S = {1, 1}