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

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

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

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

Multiply (2 + 5v) * (6 + v)
(2(6 + v) + 5v * (6 + v)) = 0
((6 * 2 + v * 2) + 5v * (6 + v)) = 0
((12 + 2v) + 5v * (6 + v)) = 0
(12 + 2v + (6 * 5v + v * 5v)) = 0
(12 + 2v + (30v + 5v2)) = 0

Combine like terms: 2v + 30v = 32v
(12 + 32v + 5v2) = 0

Solving
12 + 32v + 5v2 = 0

Solving for variable 'v'.

Factor a trinomial.
(6 + v)(2 + 5v) = 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 '(2 + 5v)' equal to zero and attempt to solve:

Simplifying
2 + 5v = 0

Solving
2 + 5v = 0

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

Add '-2' to each side of the equation.
2 + -2 + 5v = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 5v = 0 + -2
5v = 0 + -2

Combine like terms: 0 + -2 = -2
5v = -2

Divide each side by '5'.
v = -0.4

Simplifying
v = -0.4
Solution
v = {-6, -0.4}