(v+4)(v+6)=0

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

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

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

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

Multiply (4 + v) * (6 + v)
(4(6 + v) + v(6 + v)) = 0
((6 * 4 + v * 4) + v(6 + v)) = 0
((24 + 4v) + v(6 + v)) = 0
(24 + 4v + (6 * v + v * v)) = 0
(24 + 4v + (6v + v2)) = 0

Combine like terms: 4v + 6v = 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}