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

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

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

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

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

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

Combine like terms: -12b + 10b = -2b
(-15 + -2b + 8b2) = 0

Solving
-15 + -2b + 8b2 = 0

Solving for variable 'b'.

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

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

Simplifying
-5 + -4b = 0

Solving
-5 + -4b = 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 + -4b = 0 + 5

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

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

Divide each side by '-4'.
b = -1.25

Simplifying
b = -1.25
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 = {-1.25, 1.5}