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

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

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

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

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

Multiply (5 + 2b) * (3 + 5b)
(5(3 + 5b) + 2b * (3 + 5b)) = 0
((3 * 5 + 5b * 5) + 2b * (3 + 5b)) = 0
((15 + 25b) + 2b * (3 + 5b)) = 0
(15 + 25b + (3 * 2b + 5b * 2b)) = 0
(15 + 25b + (6b + 10b2)) = 0

Combine like terms: 25b + 6b = 31b
(15 + 31b + 10b2) = 0

Solving
15 + 31b + 10b2 = 0

Solving for variable 'b'.

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

Subproblem 1
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
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 = {-2.5, -0.6}