(2v+10)*(v+6)=

Solution for (2v+10)*(v+6)= equation:

Simplifying
(2v + 10)(v + 6) = 0

Reorder the terms:
(10 + 2v)(v + 6) = 0

Reorder the terms:
(10 + 2v)(6 + v) = 0

Multiply (10 + 2v) * (6 + v)
(10(6 + v) + 2v * (6 + v)) = 0
((6 * 10 + v * 10) + 2v * (6 + v)) = 0
((60 + 10v) + 2v * (6 + v)) = 0
(60 + 10v + (6 * 2v + v * 2v)) = 0
(60 + 10v + (12v + 2v2)) = 0

Combine like terms: 10v + 12v = 22v
(60 + 22v + 2v2) = 0

Solving
60 + 22v + 2v2 = 0

Solving for variable 'v'.

Factor out the Greatest Common Factor (GCF), '2'.
2(30 + 11v + v2) = 0

Factor a trinomial.
2((6 + v)(5 + v)) = 0

Ignore the factor 2.
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 '(5 + v)' equal to zero and attempt to solve:

Simplifying
5 + v = 0

Solving
5 + v = 0

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

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

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

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

Simplifying
v = -5
Solution
v = {-6, -5}