(V+6)(V+4)=0

Solution for (V+6)(V+4)=0 equation:

Simplifying
(V + 6)(V + 4) = 0

Reorder the terms:
(6 + V)(V + 4) = 0

Reorder the terms:
(6 + V)(4 + V) = 0

Multiply (6 + V) * (4 + V)
(6(4 + V) + V(4 + V)) = 0
((4 * 6 + V * 6) + V(4 + V)) = 0
((24 + 6V) + V(4 + V)) = 0
(24 + 6V + (4 * V + V * V)) = 0
(24 + 6V + (4V + V2)) = 0

Combine like terms: 6V + 4V = 10V
(24 + 10V + V2) = 0

Solving
24 + 10V + V2 = 0

Solving for variable 'V'.

Factor a trinomial.
(6 + V)(4 + 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 '(4 + V)' equal to zero and attempt to solve:

Simplifying
4 + V = 0

Solving
4 + V = 0

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

Add '-4' to each side of the equation.
4 + -4 + V = 0 + -4

Combine like terms: 4 + -4 = 0
0 + V = 0 + -4
V = 0 + -4

Combine like terms: 0 + -4 = -4
V = -4

Simplifying
V = -4
Solution
V = {-6, -4}