y^2+24y+63=

Solution for y^2+24y+63= equation:

Simplifying
y2 + 24y + 63 = 0

Reorder the terms:
63 + 24y + y2 = 0

Solving
63 + 24y + y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(21 + y)(3 + y) = 0

Subproblem 1
Set the factor '(21 + y)' equal to zero and attempt to solve:

Simplifying
21 + y = 0

Solving
21 + y = 0

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

Add '-21' to each side of the equation.
21 + -21 + y = 0 + -21

Combine like terms: 21 + -21 = 0
0 + y = 0 + -21
y = 0 + -21

Combine like terms: 0 + -21 = -21
y = -21

Simplifying
y = -21
Subproblem 2
Set the factor '(3 + y)' equal to zero and attempt to solve:

Simplifying
3 + y = 0

Solving
3 + y = 0

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

Add '-3' to each side of the equation.
3 + -3 + y = 0 + -3

Combine like terms: 3 + -3 = 0
0 + y = 0 + -3
y = 0 + -3

Combine like terms: 0 + -3 = -3
y = -3

Simplifying
y = -3
Solution
y = {-21, -3}