(4b-1)(5b-3)=

Solution for (4b-1)(5b-3)= equation:

Simplifying
(4b + -1)(5b + -3) = 0

Reorder the terms:
(-1 + 4b)(5b + -3) = 0

Reorder the terms:
(-1 + 4b)(-3 + 5b) = 0

Multiply (-1 + 4b) * (-3 + 5b)
(-1(-3 + 5b) + 4b * (-3 + 5b)) = 0
((-3 * -1 + 5b * -1) + 4b * (-3 + 5b)) = 0
((3 + -5b) + 4b * (-3 + 5b)) = 0
(3 + -5b + (-3 * 4b + 5b * 4b)) = 0
(3 + -5b + (-12b + 20b2)) = 0

Combine like terms: -5b + -12b = -17b
(3 + -17b + 20b2) = 0

Solving
3 + -17b + 20b2 = 0

Solving for variable 'b'.

Factor a trinomial.
(1 + -4b)(3 + -5b) = 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 '(3 + -5b)' equal to zero and attempt to solve:

Simplifying
3 + -5b = 0

Solving
3 + -5b = 0

Move all terms containing b to the left, all other terms to the right.

Add '-3' to each side of the equation.
3 + -3 + -5b = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -5b = 0 + -3
-5b = 0 + -3

Combine like terms: 0 + -3 = -3
-5b = -3

Divide each side by '-5'.
b = 0.6

Simplifying
b = 0.6
Solution
b = {0.25, 0.6}