-q^2+650q-90000=0

Solution for -q^2+650q-90000=0 equation:

Simplifying
-1q2 + 650q + -90000 = 0

Reorder the terms:
-90000 + 650q + -1q2 = 0

Solving
-90000 + 650q + -1q2 = 0

Solving for variable 'q'.

Factor a trinomial.
(-450 + q)(200 + -1q) = 0

Subproblem 1
Set the factor '(-450 + q)' equal to zero and attempt to solve:

Simplifying
-450 + q = 0

Solving
-450 + q = 0

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

Add '450' to each side of the equation.
-450 + 450 + q = 0 + 450

Combine like terms: -450 + 450 = 0
0 + q = 0 + 450
q = 0 + 450

Combine like terms: 0 + 450 = 450
q = 450

Simplifying
q = 450
Subproblem 2
Set the factor '(200 + -1q)' equal to zero and attempt to solve:

Simplifying
200 + -1q = 0

Solving
200 + -1q = 0

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

Add '-200' to each side of the equation.
200 + -200 + -1q = 0 + -200

Combine like terms: 200 + -200 = 0
0 + -1q = 0 + -200
-1q = 0 + -200

Combine like terms: 0 + -200 = -200
-1q = -200

Divide each side by '-1'.
q = 200

Simplifying
q = 200
Solution
q = {450, 200}