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

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

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

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

Combine like terms: -5b + 6b = 1b
(15 + 1b + -2b2) = 0

Solving
15 + 1b + -2b2 = 0

Solving for variable 'b'.

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

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

Simplifying
3 + -1b = 0

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

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

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

Divide each side by '-1'.
b = 3

Simplifying
b = 3
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 = {3, -2.5}