(6+V)(2V+1)=0

Solution for (6+V)(2V+1)=0 equation:

Simplifying
(6 + V)(2V + 1) = 0

Reorder the terms:
(6 + V)(1 + 2V) = 0

Multiply (6 + V) * (1 + 2V)
(6(1 + 2V) + V(1 + 2V)) = 0
((1 * 6 + 2V * 6) + V(1 + 2V)) = 0
((6 + 12V) + V(1 + 2V)) = 0
(6 + 12V + (1 * V + 2V * V)) = 0
(6 + 12V + (1V + 2V2)) = 0

Combine like terms: 12V + 1V = 13V
(6 + 13V + 2V2) = 0

Solving
6 + 13V + 2V2 = 0

Solving for variable 'V'.

Factor a trinomial.
(6 + V)(1 + 2V) = 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 '(1 + 2V)' equal to zero and attempt to solve:

Simplifying
1 + 2V = 0

Solving
1 + 2V = 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 + 2V = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 2V = 0 + -1
2V = 0 + -1

Combine like terms: 0 + -1 = -1
2V = -1

Divide each side by '2'.
V = -0.5

Simplifying
V = -0.5
Solution
V = {-6, -0.5}