(b-2)(b-1)=0

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

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

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

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

Multiply (-2 + b) * (-1 + b)
(-2(-1 + b) + b(-1 + b)) = 0
((-1 * -2 + b * -2) + b(-1 + b)) = 0
((2 + -2b) + b(-1 + b)) = 0
(2 + -2b + (-1 * b + b * b)) = 0
(2 + -2b + (-1b + b2)) = 0

Combine like terms: -2b + -1b = -3b
(2 + -3b + b2) = 0

Solving
2 + -3b + b2 = 0

Solving for variable 'b'.

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

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

Simplifying
1 + -1b = 0

Solving
1 + -1b = 0

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

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

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

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

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

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

Simplifying
2 + -1b = 0

Solving
2 + -1b = 0

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

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

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

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

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

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