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

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

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

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

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

Multiply (-1 + 3b) * (5 + 2b)
(-1(5 + 2b) + 3b * (5 + 2b)) = 0
((5 * -1 + 2b * -1) + 3b * (5 + 2b)) = 0
((-5 + -2b) + 3b * (5 + 2b)) = 0
(-5 + -2b + (5 * 3b + 2b * 3b)) = 0
(-5 + -2b + (15b + 6b2)) = 0

Combine like terms: -2b + 15b = 13b
(-5 + 13b + 6b2) = 0

Solving
-5 + 13b + 6b2 = 0

Solving for variable 'b'.

Factor a trinomial.
(-5 + -2b)(1 + -3b) = 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 '(1 + -3b)' equal to zero and attempt to solve:

Simplifying
1 + -3b = 0

Solving
1 + -3b = 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 + -3b = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -3b = 0 + -1
-3b = 0 + -1

Combine like terms: 0 + -1 = -1
-3b = -1

Divide each side by '-3'.
b = 0.3333333333

Simplifying
b = 0.3333333333
Solution
b = {-2.5, 0.3333333333}