(b+5)(5b+6)=0

Solution for (b+5)(5b+6)=0 equation:

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

Reorder the terms:
(5 + b)(5b + 6) = 0

Reorder the terms:
(5 + b)(6 + 5b) = 0

Multiply (5 + b) * (6 + 5b)
(5(6 + 5b) + b(6 + 5b)) = 0
((6 * 5 + 5b * 5) + b(6 + 5b)) = 0
((30 + 25b) + b(6 + 5b)) = 0
(30 + 25b + (6 * b + 5b * b)) = 0
(30 + 25b + (6b + 5b2)) = 0

Combine like terms: 25b + 6b = 31b
(30 + 31b + 5b2) = 0

Solving
30 + 31b + 5b2 = 0

Solving for variable 'b'.

Factor a trinomial.
(5 + b)(6 + 5b) = 0

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

Simplifying
5 + b = 0

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

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

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

Simplifying
b = -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 = {-5, -1.2}