(4b-1)(8b-5)=

Solution for (4b-1)(8b-5)= equation:

Simplifying
(4b + -1)(8b + -5) = 0

Reorder the terms:
(-1 + 4b)(8b + -5) = 0

Reorder the terms:
(-1 + 4b)(-5 + 8b) = 0

Multiply (-1 + 4b) * (-5 + 8b)
(-1(-5 + 8b) + 4b * (-5 + 8b)) = 0
((-5 * -1 + 8b * -1) + 4b * (-5 + 8b)) = 0
((5 + -8b) + 4b * (-5 + 8b)) = 0
(5 + -8b + (-5 * 4b + 8b * 4b)) = 0
(5 + -8b + (-20b + 32b2)) = 0

Combine like terms: -8b + -20b = -28b
(5 + -28b + 32b2) = 0

Solving
5 + -28b + 32b2 = 0

Solving for variable 'b'.

Factor a trinomial.
(1 + -4b)(5 + -8b) = 0

Subproblem 1
Set the factor '(1 + -4b)' equal to zero and attempt to solve:

Simplifying
1 + -4b = 0

Solving
1 + -4b = 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 + -4b = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -4b = 0 + -1
-4b = 0 + -1

Combine like terms: 0 + -1 = -1
-4b = -1

Divide each side by '-4'.
b = 0.25

Simplifying
b = 0.25
Subproblem 2
Set the factor '(5 + -8b)' equal to zero and attempt to solve:

Simplifying
5 + -8b = 0

Solving
5 + -8b = 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 + -8b = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -8b = 0 + -5
-8b = 0 + -5

Combine like terms: 0 + -5 = -5
-8b = -5

Divide each side by '-8'.
b = 0.625

Simplifying
b = 0.625
Solution
b = {0.25, 0.625}