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

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

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

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

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

Multiply (-1 + 8b) * (-5 + 5b)
(-1(-5 + 5b) + 8b * (-5 + 5b)) = 0
((-5 * -1 + 5b * -1) + 8b * (-5 + 5b)) = 0
((5 + -5b) + 8b * (-5 + 5b)) = 0
(5 + -5b + (-5 * 8b + 5b * 8b)) = 0
(5 + -5b + (-40b + 40b2)) = 0

Combine like terms: -5b + -40b = -45b
(5 + -45b + 40b2) = 0

Solving
5 + -45b + 40b2 = 0

Solving for variable 'b'.

Factor out the Greatest Common Factor (GCF), '5'.
5(1 + -9b + 8b2) = 0

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

Ignore the factor 5.
Subproblem 1
Set the factor '(1 + -8b)' equal to zero and attempt to solve:

Simplifying
1 + -8b = 0

Solving
1 + -8b = 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 + -8b = 0 + -1

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

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

Divide each side by '-8'.
b = 0.125

Simplifying
b = 0.125
Subproblem 2
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
Solution
b = {0.125, 1}