v^2+23v+22=0

Solution for v^2+23v+22=0 equation:

Simplifying
v2 + 23v + 22 = 0

Reorder the terms:
22 + 23v + v2 = 0

Solving
22 + 23v + v2 = 0

Solving for variable 'v'.

Factor a trinomial.
(22 + v)(1 + v) = 0

Subproblem 1
Set the factor '(22 + v)' equal to zero and attempt to solve:

Simplifying
22 + v = 0

Solving
22 + v = 0

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

Add '-22' to each side of the equation.
22 + -22 + v = 0 + -22

Combine like terms: 22 + -22 = 0
0 + v = 0 + -22
v = 0 + -22

Combine like terms: 0 + -22 = -22
v = -22

Simplifying
v = -22
Subproblem 2
Set the factor '(1 + v)' equal to zero and attempt to solve:

Simplifying
1 + v = 0

Solving
1 + v = 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 + v = 0 + -1

Combine like terms: 1 + -1 = 0
0 + v = 0 + -1
v = 0 + -1

Combine like terms: 0 + -1 = -1
v = -1

Simplifying
v = -1
Solution
v = {-22, -1}