p^2+24p+63=

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

Simplifying
p2 + 24p + 63 = 0

Reorder the terms:
63 + 24p + p2 = 0

Solving
63 + 24p + p2 = 0

Solving for variable 'p'.

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

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

Simplifying
21 + p = 0

Solving
21 + p = 0

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

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

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

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

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

Simplifying
3 + p = 0

Solving
3 + p = 0

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

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

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

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

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