(5b-4)(2b-3)=0

Solution for (5b-4)(2b-3)=0 equation:

Simplifying
(5b + -4)(2b + -3) = 0

Reorder the terms:
(-4 + 5b)(2b + -3) = 0

Reorder the terms:
(-4 + 5b)(-3 + 2b) = 0

Multiply (-4 + 5b) * (-3 + 2b)
(-4(-3 + 2b) + 5b * (-3 + 2b)) = 0
((-3 * -4 + 2b * -4) + 5b * (-3 + 2b)) = 0
((12 + -8b) + 5b * (-3 + 2b)) = 0
(12 + -8b + (-3 * 5b + 2b * 5b)) = 0
(12 + -8b + (-15b + 10b2)) = 0

Combine like terms: -8b + -15b = -23b
(12 + -23b + 10b2) = 0

Solving
12 + -23b + 10b2 = 0

Solving for variable 'b'.

Factor a trinomial.
(4 + -5b)(3 + -2b) = 0

Subproblem 1
Set the factor '(4 + -5b)' equal to zero and attempt to solve:

Simplifying
4 + -5b = 0

Solving
4 + -5b = 0

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

Add '-4' to each side of the equation.
4 + -4 + -5b = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -5b = 0 + -4
-5b = 0 + -4

Combine like terms: 0 + -4 = -4
-5b = -4

Divide each side by '-5'.
b = 0.8

Simplifying
b = 0.8
Subproblem 2
Set the factor '(3 + -2b)' equal to zero and attempt to solve:

Simplifying
3 + -2b = 0

Solving
3 + -2b = 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 + -2b = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -2b = 0 + -3
-2b = 0 + -3

Combine like terms: 0 + -3 = -3
-2b = -3

Divide each side by '-2'.
b = 1.5

Simplifying
b = 1.5
Solution
b = {0.8, 1.5}