(5b-1)(6b-3)=

Solution for (5b-1)(6b-3)= equation:

Simplifying
(5b + -1)(6b + -3) = 0

Reorder the terms:
(-1 + 5b)(6b + -3) = 0

Reorder the terms:
(-1 + 5b)(-3 + 6b) = 0

Multiply (-1 + 5b) * (-3 + 6b)
(-1(-3 + 6b) + 5b * (-3 + 6b)) = 0
((-3 * -1 + 6b * -1) + 5b * (-3 + 6b)) = 0
((3 + -6b) + 5b * (-3 + 6b)) = 0
(3 + -6b + (-3 * 5b + 6b * 5b)) = 0
(3 + -6b + (-15b + 30b2)) = 0

Combine like terms: -6b + -15b = -21b
(3 + -21b + 30b2) = 0

Solving
3 + -21b + 30b2 = 0

Solving for variable 'b'.

Factor out the Greatest Common Factor (GCF), '3'.
3(1 + -7b + 10b2) = 0

Factor a trinomial.
3((1 + -5b)(1 + -2b)) = 0

Ignore the factor 3.
Subproblem 1
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
Subproblem 2
Set the factor '(1 + -2b)' equal to zero and attempt to solve:

Simplifying
1 + -2b = 0

Solving
1 + -2b = 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 + -2b = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -2b = 0 + -1
-2b = 0 + -1

Combine like terms: 0 + -1 = -1
-2b = -1

Divide each side by '-2'.
b = 0.5

Simplifying
b = 0.5
Solution
b = {0.2, 0.5}