(2B+6)(B+5)=0

Solution for (2B+6)(B+5)=0 equation:

Simplifying
(2B + 6)(B + 5) = 0

Reorder the terms:
(6 + 2B)(B + 5) = 0

Reorder the terms:
(6 + 2B)(5 + B) = 0

Multiply (6 + 2B) * (5 + B)
(6(5 + B) + 2B * (5 + B)) = 0
((5 * 6 + B * 6) + 2B * (5 + B)) = 0
((30 + 6B) + 2B * (5 + B)) = 0
(30 + 6B + (5 * 2B + B * 2B)) = 0
(30 + 6B + (10B + 2B2)) = 0

Combine like terms: 6B + 10B = 16B
(30 + 16B + 2B2) = 0

Solving
30 + 16B + 2B2 = 0

Solving for variable 'B'.

Factor out the Greatest Common Factor (GCF), '2'.
2(15 + 8B + B2) = 0

Factor a trinomial.
2((5 + B)(3 + B)) = 0

Ignore the factor 2.
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 '(3 + B)' equal to zero and attempt to solve:

Simplifying
3 + B = 0

Solving
3 + B = 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 + B = 0 + -3

Combine like terms: 3 + -3 = 0
0 + B = 0 + -3
B = 0 + -3

Combine like terms: 0 + -3 = -3
B = -3

Simplifying
B = -3
Solution
B = {-5, -3}