y^2+23y+22=0

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

Simplifying
y2 + 23y + 22 = 0

Reorder the terms:
22 + 23y + y2 = 0

Solving
22 + 23y + y2 = 0

Solving for variable 'y'.

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

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

Simplifying
22 + y = 0

Solving
22 + y = 0

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

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

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

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

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

Simplifying
1 + y = 0

Solving
1 + y = 0

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

Add '-1' to each side of the equation.
1 + -1 + y = 0 + -1

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

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

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