-2000q^2+5000q-3120=0

Solution for -2000q^2+5000q-3120=0 equation:

Simplifying
-2000q2 + 5000q + -3120 = 0

Reorder the terms:
-3120 + 5000q + -2000q2 = 0

Solving
-3120 + 5000q + -2000q2 = 0

Solving for variable 'q'.

Factor out the Greatest Common Factor (GCF), '40'.
40(-78 + 125q + -50q2) = 0

Factor a trinomial.
40((-13 + 10q)(6 + -5q)) = 0

Ignore the factor 40.
Subproblem 1
Set the factor '(-13 + 10q)' equal to zero and attempt to solve:

Simplifying
-13 + 10q = 0

Solving
-13 + 10q = 0

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

Add '13' to each side of the equation.
-13 + 13 + 10q = 0 + 13

Combine like terms: -13 + 13 = 0
0 + 10q = 0 + 13
10q = 0 + 13

Combine like terms: 0 + 13 = 13
10q = 13

Divide each side by '10'.
q = 1.3

Simplifying
q = 1.3
Subproblem 2
Set the factor '(6 + -5q)' equal to zero and attempt to solve:

Simplifying
6 + -5q = 0

Solving
6 + -5q = 0

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

Add '-6' to each side of the equation.
6 + -6 + -5q = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -5q = 0 + -6
-5q = 0 + -6

Combine like terms: 0 + -6 = -6
-5q = -6

Divide each side by '-5'.
q = 1.2

Simplifying
q = 1.2
Solution
q = {1.3, 1.2}