v^2+13v+22=0

Solution for v^2+13v+22=0 equation:

Simplifying
v2 + 13v + 22 = 0

Reorder the terms:
22 + 13v + v2 = 0

Solving
22 + 13v + v2 = 0

Solving for variable 'v'.

Factor a trinomial.
(11 + v)(2 + v) = 0

Subproblem 1
Set the factor '(11 + v)' equal to zero and attempt to solve:

Simplifying
11 + v = 0

Solving
11 + v = 0

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

Add '-11' to each side of the equation.
11 + -11 + v = 0 + -11

Combine like terms: 11 + -11 = 0
0 + v = 0 + -11
v = 0 + -11

Combine like terms: 0 + -11 = -11
v = -11

Simplifying
v = -11
Subproblem 2
Set the factor '(2 + v)' equal to zero and attempt to solve:

Simplifying
2 + v = 0

Solving
2 + v = 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 + v = 0 + -2

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

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

Simplifying
v = -2
Solution
v = {-11, -2}