q^2-40q-9600=

Solution for q^2-40q-9600= equation:

Simplifying
q2 + -40q + -9600 = 0

Reorder the terms:
-9600 + -40q + q2 = 0

Solving
-9600 + -40q + q2 = 0

Solving for variable 'q'.

Factor a trinomial.
(-80 + -1q)(120 + -1q) = 0

Subproblem 1
Set the factor '(-80 + -1q)' equal to zero and attempt to solve:

Simplifying
-80 + -1q = 0

Solving
-80 + -1q = 0

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

Add '80' to each side of the equation.
-80 + 80 + -1q = 0 + 80

Combine like terms: -80 + 80 = 0
0 + -1q = 0 + 80
-1q = 0 + 80

Combine like terms: 0 + 80 = 80
-1q = 80

Divide each side by '-1'.
q = -80

Simplifying
q = -80
Subproblem 2
Set the factor '(120 + -1q)' equal to zero and attempt to solve:

Simplifying
120 + -1q = 0

Solving
120 + -1q = 0

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

Add '-120' to each side of the equation.
120 + -120 + -1q = 0 + -120

Combine like terms: 120 + -120 = 0
0 + -1q = 0 + -120
-1q = 0 + -120

Combine like terms: 0 + -120 = -120
-1q = -120

Divide each side by '-1'.
q = 120

Simplifying
q = 120
Solution
q = {-80, 120}