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

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

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

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

Multiply (6 + 5v) * (5 + v)
(6(5 + v) + 5v * (5 + v)) = 0
((5 * 6 + v * 6) + 5v * (5 + v)) = 0
((30 + 6v) + 5v * (5 + v)) = 0
(30 + 6v + (5 * 5v + v * 5v)) = 0
(30 + 6v + (25v + 5v2)) = 0

Combine like terms: 6v + 25v = 31v
(30 + 31v + 5v2) = 0

Solving
30 + 31v + 5v2 = 0

Solving for variable 'v'.

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

Subproblem 1
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
Subproblem 2
Set the factor '(6 + 5v)' equal to zero and attempt to solve:

Simplifying
6 + 5v = 0

Solving
6 + 5v = 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 + 5v = 0 + -6

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

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

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

Simplifying
v = -1.2
Solution
v = {-5, -1.2}