(2b-5)(3b-1)=

Solution for (2b-5)(3b-1)= equation:

Simplifying
(2b + -5)(3b + -1) = 0

Reorder the terms:
(-5 + 2b)(3b + -1) = 0

Reorder the terms:
(-5 + 2b)(-1 + 3b) = 0

Multiply (-5 + 2b) * (-1 + 3b)
(-5(-1 + 3b) + 2b * (-1 + 3b)) = 0
((-1 * -5 + 3b * -5) + 2b * (-1 + 3b)) = 0
((5 + -15b) + 2b * (-1 + 3b)) = 0
(5 + -15b + (-1 * 2b + 3b * 2b)) = 0
(5 + -15b + (-2b + 6b2)) = 0

Combine like terms: -15b + -2b = -17b
(5 + -17b + 6b2) = 0

Solving
5 + -17b + 6b2 = 0

Solving for variable 'b'.

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

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

Simplifying
1 + -3b = 0

Solving
1 + -3b = 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 + -3b = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -3b = 0 + -1
-3b = 0 + -1

Combine like terms: 0 + -1 = -1
-3b = -1

Divide each side by '-3'.
b = 0.3333333333

Simplifying
b = 0.3333333333
Subproblem 2
Set the factor '(5 + -2b)' equal to zero and attempt to solve:

Simplifying
5 + -2b = 0

Solving
5 + -2b = 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 + -2b = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -2b = 0 + -5
-2b = 0 + -5

Combine like terms: 0 + -5 = -5
-2b = -5

Divide each side by '-2'.
b = 2.5

Simplifying
b = 2.5
Solution
b = {0.3333333333, 2.5}