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

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

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

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

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

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

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

Solving
-3 + -2b + 1b2 = 0

Solving for variable 'b'.

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

Simplifying
3 + -1b = 0

Solving
3 + -1b = 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 + -1b = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1b = 0 + -3
-1b = 0 + -3

Combine like terms: 0 + -3 = -3
-1b = -3

Divide each side by '-1'.
b = 3

Simplifying
b = 3
Solution
b = {-1, 3}