a^2+9a-36=0

Solution for a^2+9a-36=0 equation:

Simplifying
a2 + 9a + -36 = 0

Reorder the terms:
-36 + 9a + a2 = 0

Solving
-36 + 9a + a2 = 0

Solving for variable 'a'.

Factor a trinomial.
(-12 + -1a)(3 + -1a) = 0

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

Simplifying
-12 + -1a = 0

Solving
-12 + -1a = 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 + -1a = 0 + 12

Combine like terms: -12 + 12 = 0
0 + -1a = 0 + 12
-1a = 0 + 12

Combine like terms: 0 + 12 = 12
-1a = 12

Divide each side by '-1'.
a = -12

Simplifying
a = -12
Subproblem 2
Set the factor '(3 + -1a)' equal to zero and attempt to solve:

Simplifying
3 + -1a = 0

Solving
3 + -1a = 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 + -1a = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1a = 0 + -3
-1a = 0 + -3

Combine like terms: 0 + -3 = -3
-1a = -3

Divide each side by '-1'.
a = 3

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