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

Solution for (1+v)(5v+6)=0 equation:

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

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

Multiply (1 + v) * (6 + 5v)
(1(6 + 5v) + v(6 + 5v)) = 0
((6 * 1 + 5v * 1) + v(6 + 5v)) = 0
((6 + 5v) + v(6 + 5v)) = 0
(6 + 5v + (6 * v + 5v * v)) = 0
(6 + 5v + (6v + 5v2)) = 0

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

Solving
6 + 11v + 5v2 = 0

Solving for variable 'v'.

Factor a trinomial.
(6 + 5v)(1 + v) = 0

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

Simplifying
1 + v = 0

Solving
1 + v = 0

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

Add '-1' to each side of the equation.
1 + -1 + v = 0 + -1

Combine like terms: 1 + -1 = 0
0 + v = 0 + -1
v = 0 + -1

Combine like terms: 0 + -1 = -1
v = -1

Simplifying
v = -1
Solution
v = {-1.2, -1}