-q^2+40q+9600=

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

Simplifying
-1q2 + 40q + 9600 = 0

Reorder the terms:
9600 + 40q + -1q2 = 0

Solving
9600 + 40q + -1q2 = 0

Solving for variable 'q'.

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

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

Simplifying
80 + q = 0

Solving
80 + q = 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 + q = 0 + -80

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

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

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