q^2-9q-36=0

Solution for q^2-9q-36=0 equation:

Simplifying
q2 + -9q + -36 = 0

Reorder the terms:
-36 + -9q + q2 = 0

Solving
-36 + -9q + q2 = 0

Solving for variable 'q'.

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

Subproblem 1
Set the factor '(-3 + -1q)' equal to zero and attempt to solve:

Simplifying
-3 + -1q = 0

Solving
-3 + -1q = 0

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

Add '3' to each side of the equation.
-3 + 3 + -1q = 0 + 3

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

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

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

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

Simplifying
12 + -1q = 0

Solving
12 + -1q = 0

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

Add '-12' to each side of the equation.
12 + -12 + -1q = 0 + -12

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

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

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

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