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

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

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

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

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

Multiply (1 + 2b) * (-5 + 3b)
(1(-5 + 3b) + 2b * (-5 + 3b)) = 0
((-5 * 1 + 3b * 1) + 2b * (-5 + 3b)) = 0
((-5 + 3b) + 2b * (-5 + 3b)) = 0
(-5 + 3b + (-5 * 2b + 3b * 2b)) = 0
(-5 + 3b + (-10b + 6b2)) = 0

Combine like terms: 3b + -10b = -7b
(-5 + -7b + 6b2) = 0

Solving
-5 + -7b + 6b2 = 0

Solving for variable 'b'.

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

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

Simplifying
-1 + -2b = 0

Solving
-1 + -2b = 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 + -2b = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -2b = 0 + 1
-2b = 0 + 1

Combine like terms: 0 + 1 = 1
-2b = 1

Divide each side by '-2'.
b = -0.5

Simplifying
b = -0.5
Subproblem 2
Set the factor '(5 + -3b)' equal to zero and attempt to solve:

Simplifying
5 + -3b = 0

Solving
5 + -3b = 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 + -3b = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -3b = 0 + -5
-3b = 0 + -5

Combine like terms: 0 + -5 = -5
-3b = -5

Divide each side by '-3'.
b = 1.666666667

Simplifying
b = 1.666666667
Solution
b = {-0.5, 1.666666667}