a^2+15a+36=0

Solution for a^2+15a+36=0 equation:

Simplifying
a2 + 15a + 36 = 0

Reorder the terms:
36 + 15a + a2 = 0

Solving
36 + 15a + a2 = 0

Solving for variable 'a'.

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

Subproblem 1
Set the factor '(12 + a)' equal to zero and attempt to solve:

Simplifying
12 + a = 0

Solving
12 + a = 0

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

Add '-12' to each side of the equation.
12 + -12 + a = 0 + -12

Combine like terms: 12 + -12 = 0
0 + a = 0 + -12
a = 0 + -12

Combine like terms: 0 + -12 = -12
a = -12

Simplifying
a = -12
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 = {-12, -3}