y^2+24y+23=0

Solution for y^2+24y+23=0 equation:

Simplifying
y2 + 24y + 23 = 0

Reorder the terms:
23 + 24y + y2 = 0

Solving
23 + 24y + y2 = 0

Solving for variable 'y'.

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

Subproblem 1
Set the factor '(23 + y)' equal to zero and attempt to solve:

Simplifying
23 + y = 0

Solving
23 + y = 0

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

Add '-23' to each side of the equation.
23 + -23 + y = 0 + -23

Combine like terms: 23 + -23 = 0
0 + y = 0 + -23
y = 0 + -23

Combine like terms: 0 + -23 = -23
y = -23

Simplifying
y = -23
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 = {-23, -1}