(5b-1)(6b-1)=

Solution for (5b-1)(6b-1)= equation:

Simplifying
(5b + -1)(6b + -1) = 0

Reorder the terms:
(-1 + 5b)(6b + -1) = 0

Reorder the terms:
(-1 + 5b)(-1 + 6b) = 0

Multiply (-1 + 5b) * (-1 + 6b)
(-1(-1 + 6b) + 5b * (-1 + 6b)) = 0
((-1 * -1 + 6b * -1) + 5b * (-1 + 6b)) = 0
((1 + -6b) + 5b * (-1 + 6b)) = 0
(1 + -6b + (-1 * 5b + 6b * 5b)) = 0
(1 + -6b + (-5b + 30b2)) = 0

Combine like terms: -6b + -5b = -11b
(1 + -11b + 30b2) = 0

Solving
1 + -11b + 30b2 = 0

Solving for variable 'b'.

Factor a trinomial.
(1 + -6b)(1 + -5b) = 0

Subproblem 1
Set the factor '(1 + -6b)' equal to zero and attempt to solve:

Simplifying
1 + -6b = 0

Solving
1 + -6b = 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 + -6b = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -6b = 0 + -1
-6b = 0 + -1

Combine like terms: 0 + -1 = -1
-6b = -1

Divide each side by '-6'.
b = 0.1666666667

Simplifying
b = 0.1666666667
Subproblem 2
Set the factor '(1 + -5b)' equal to zero and attempt to solve:

Simplifying
1 + -5b = 0

Solving
1 + -5b = 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 + -5b = 0 + -1

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

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

Divide each side by '-5'.
b = 0.2

Simplifying
b = 0.2
Solution
b = {0.1666666667, 0.2}