(b-5)(8b-3)=0

Solution for (b-5)(8b-3)=0 equation:

Simplifying
(b + -5)(8b + -3) = 0

Reorder the terms:
(-5 + b)(8b + -3) = 0

Reorder the terms:
(-5 + b)(-3 + 8b) = 0

Multiply (-5 + b) * (-3 + 8b)
(-5(-3 + 8b) + b(-3 + 8b)) = 0
((-3 * -5 + 8b * -5) + b(-3 + 8b)) = 0
((15 + -40b) + b(-3 + 8b)) = 0
(15 + -40b + (-3 * b + 8b * b)) = 0
(15 + -40b + (-3b + 8b2)) = 0

Combine like terms: -40b + -3b = -43b
(15 + -43b + 8b2) = 0

Solving
15 + -43b + 8b2 = 0

Solving for variable 'b'.

Factor a trinomial.
(3 + -8b)(5 + -1b) = 0

Subproblem 1
Set the factor '(3 + -8b)' equal to zero and attempt to solve:

Simplifying
3 + -8b = 0

Solving
3 + -8b = 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 + -8b = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -8b = 0 + -3
-8b = 0 + -3

Combine like terms: 0 + -3 = -3
-8b = -3

Divide each side by '-8'.
b = 0.375

Simplifying
b = 0.375
Subproblem 2
Set the factor '(5 + -1b)' equal to zero and attempt to solve:

Simplifying
5 + -1b = 0

Solving
5 + -1b = 0

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

Add '-5' to each side of the equation.
5 + -5 + -1b = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1b = 0 + -5
-1b = 0 + -5

Combine like terms: 0 + -5 = -5
-1b = -5

Divide each side by '-1'.
b = 5

Simplifying
b = 5
Solution
b = {0.375, 5}