(2b+3)(5b-1)=0

Solution for (2b+3)(5b-1)=0 equation:

Simplifying
(2b + 3)(5b + -1) = 0

Reorder the terms:
(3 + 2b)(5b + -1) = 0

Reorder the terms:
(3 + 2b)(-1 + 5b) = 0

Multiply (3 + 2b) * (-1 + 5b)
(3(-1 + 5b) + 2b * (-1 + 5b)) = 0
((-1 * 3 + 5b * 3) + 2b * (-1 + 5b)) = 0
((-3 + 15b) + 2b * (-1 + 5b)) = 0
(-3 + 15b + (-1 * 2b + 5b * 2b)) = 0
(-3 + 15b + (-2b + 10b2)) = 0

Combine like terms: 15b + -2b = 13b
(-3 + 13b + 10b2) = 0

Solving
-3 + 13b + 10b2 = 0

Solving for variable 'b'.

Factor a trinomial.
(-3 + -2b)(1 + -5b) = 0

Subproblem 1
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
Subproblem 2
Set the factor '(1 + -5b)' equal to zero and attempt to solve:

Simplifying
1 + -5b = 0

Solving
1 + -5b = 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 + -5b = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -5b = 0 + -1
-5b = 0 + -1

Combine like terms: 0 + -1 = -1
-5b = -1

Divide each side by '-5'.
b = 0.2

Simplifying
b = 0.2
Solution
b = {-1.5, 0.2}