a^2+24a+63=0

Solution for a^2+24a+63=0 equation:

Simplifying
a2 + 24a + 63 = 0

Reorder the terms:
63 + 24a + a2 = 0

Solving
63 + 24a + a2 = 0

Solving for variable 'a'.

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

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

Simplifying
21 + a = 0

Solving
21 + a = 0

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

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

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

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

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

Simplifying
3 + a = 0

Solving
3 + a = 0

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

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

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

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

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