(5-2b)(6+5b)=

Solution for (5-2b)(6+5b)= equation:

Simplifying
(5 + -2b)(6 + 5b) = 0

Multiply (5 + -2b) * (6 + 5b)
(5(6 + 5b) + -2b * (6 + 5b)) = 0
((6 * 5 + 5b * 5) + -2b * (6 + 5b)) = 0
((30 + 25b) + -2b * (6 + 5b)) = 0
(30 + 25b + (6 * -2b + 5b * -2b)) = 0
(30 + 25b + (-12b + -10b2)) = 0

Combine like terms: 25b + -12b = 13b
(30 + 13b + -10b2) = 0

Solving
30 + 13b + -10b2 = 0

Solving for variable 'b'.

Factor a trinomial.
(5 + -2b)(6 + 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 '(6 + 5b)' equal to zero and attempt to solve:

Simplifying
6 + 5b = 0

Solving
6 + 5b = 0

Move all terms containing b to the left, all other terms to the right.

Add '-6' to each side of the equation.
6 + -6 + 5b = 0 + -6

Combine like terms: 6 + -6 = 0
0 + 5b = 0 + -6
5b = 0 + -6

Combine like terms: 0 + -6 = -6
5b = -6

Divide each side by '5'.
b = -1.2

Simplifying
b = -1.2
Solution
b = {2.5, -1.2}