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

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

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

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

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

Multiply (3 + 4b) * (-5 + 2b)
(3(-5 + 2b) + 4b * (-5 + 2b)) = 0
((-5 * 3 + 2b * 3) + 4b * (-5 + 2b)) = 0
((-15 + 6b) + 4b * (-5 + 2b)) = 0
(-15 + 6b + (-5 * 4b + 2b * 4b)) = 0
(-15 + 6b + (-20b + 8b2)) = 0

Combine like terms: 6b + -20b = -14b
(-15 + -14b + 8b2) = 0

Solving
-15 + -14b + 8b2 = 0

Solving for variable 'b'.

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

Subproblem 1
Set the factor '(-3 + -4b)' equal to zero and attempt to solve:

Simplifying
-3 + -4b = 0

Solving
-3 + -4b = 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 + -4b = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -4b = 0 + 3
-4b = 0 + 3

Combine like terms: 0 + 3 = 3
-4b = 3

Divide each side by '-4'.
b = -0.75

Simplifying
b = -0.75
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 = {-0.75, 2.5}