y^2+25y+24=0

Solution for y^2+25y+24=0 equation:

Simplifying
y2 + 25y + 24 = 0

Reorder the terms:
24 + 25y + y2 = 0

Solving
24 + 25y + y2 = 0

Solving for variable 'y'.

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

Subproblem 1
Set the factor '(24 + y)' equal to zero and attempt to solve:

Simplifying
24 + y = 0

Solving
24 + y = 0

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

Add '-24' to each side of the equation.
24 + -24 + y = 0 + -24

Combine like terms: 24 + -24 = 0
0 + y = 0 + -24
y = 0 + -24

Combine like terms: 0 + -24 = -24
y = -24

Simplifying
y = -24
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 = {-24, -1}