(v+5)(v+6)=0

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

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

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

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

Multiply (5 + v) * (6 + v)
(5(6 + v) + v(6 + v)) = 0
((6 * 5 + v * 5) + v(6 + v)) = 0
((30 + 5v) + v(6 + v)) = 0
(30 + 5v + (6 * v + v * v)) = 0
(30 + 5v + (6v + v2)) = 0

Combine like terms: 5v + 6v = 11v
(30 + 11v + v2) = 0

Solving
30 + 11v + v2 = 0

Solving for variable 'v'.

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

Subproblem 1
Set the factor '(6 + v)' equal to zero and attempt to solve:

Simplifying
6 + v = 0

Solving
6 + v = 0

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

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

Combine like terms: 6 + -6 = 0
0 + v = 0 + -6
v = 0 + -6

Combine like terms: 0 + -6 = -6
v = -6

Simplifying
v = -6
Subproblem 2
Set the factor '(5 + v)' equal to zero and attempt to solve:

Simplifying
5 + v = 0

Solving
5 + v = 0

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

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

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

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

Simplifying
v = -5
Solution
v = {-6, -5}