(b-8)*(b-3)=0

Solution for (b-8)*(b-3)=0 equation:

Simplifying
(b + -8)(b + -3) = 0

Reorder the terms:
(-8 + b)(b + -3) = 0

Reorder the terms:
(-8 + b)(-3 + b) = 0

Multiply (-8 + b) * (-3 + b)
(-8(-3 + b) + b(-3 + b)) = 0
((-3 * -8 + b * -8) + b(-3 + b)) = 0
((24 + -8b) + b(-3 + b)) = 0
(24 + -8b + (-3 * b + b * b)) = 0
(24 + -8b + (-3b + b2)) = 0

Combine like terms: -8b + -3b = -11b
(24 + -11b + b2) = 0

Solving
24 + -11b + b2 = 0

Solving for variable 'b'.

Factor a trinomial.
(3 + -1b)(8 + -1b) = 0

Subproblem 1
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
Subproblem 2
Set the factor '(8 + -1b)' equal to zero and attempt to solve:

Simplifying
8 + -1b = 0

Solving
8 + -1b = 0

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

Add '-8' to each side of the equation.
8 + -8 + -1b = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1b = 0 + -8
-1b = 0 + -8

Combine like terms: 0 + -8 = -8
-1b = -8

Divide each side by '-1'.
b = 8

Simplifying
b = 8
Solution
b = {3, 8}