(s-1)(s-2)=0

Solution for (s-1)(s-2)=0 equation:

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

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

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

Multiply (-1 + s) * (-2 + s)
(-1(-2 + s) + s(-2 + s)) = 0
((-2 * -1 + s * -1) + s(-2 + s)) = 0
((2 + -1s) + s(-2 + s)) = 0
(2 + -1s + (-2 * s + s * s)) = 0
(2 + -1s + (-2s + s2)) = 0

Combine like terms: -1s + -2s = -3s
(2 + -3s + s2) = 0

Solving
2 + -3s + s2 = 0

Solving for variable 's'.

Factor a trinomial.
(1 + -1s)(2 + -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 '(2 + -1s)' equal to zero and attempt to solve:

Simplifying
2 + -1s = 0

Solving
2 + -1s = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1s = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1s = 0 + -2
-1s = 0 + -2

Combine like terms: 0 + -2 = -2
-1s = -2

Divide each side by '-1'.
s = 2

Simplifying
s = 2
Solution
s = {1, 2}