(-2b+3)(-1b+1)=0

Solution for (-2b+3)(-1b+1)=0 equation:

Simplifying
(-2b + 3)(-1b + 1) = 0

Reorder the terms:
(3 + -2b)(-1b + 1) = 0

Reorder the terms:
(3 + -2b)(1 + -1b) = 0

Multiply (3 + -2b) * (1 + -1b)
(3(1 + -1b) + -2b * (1 + -1b)) = 0
((1 * 3 + -1b * 3) + -2b * (1 + -1b)) = 0
((3 + -3b) + -2b * (1 + -1b)) = 0
(3 + -3b + (1 * -2b + -1b * -2b)) = 0
(3 + -3b + (-2b + 2b2)) = 0

Combine like terms: -3b + -2b = -5b
(3 + -5b + 2b2) = 0

Solving
3 + -5b + 2b2 = 0

Solving for variable 'b'.

Factor a trinomial.
(1 + -1b)(3 + -2b) = 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 '(3 + -2b)' equal to zero and attempt to solve:

Simplifying
3 + -2b = 0

Solving
3 + -2b = 0

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

Add '-3' to each side of the equation.
3 + -3 + -2b = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -2b = 0 + -3
-2b = 0 + -3

Combine like terms: 0 + -3 = -3
-2b = -3

Divide each side by '-2'.
b = 1.5

Simplifying
b = 1.5
Solution
b = {1, 1.5}