-Q^2-10Q+2000=0

Solution for -Q^2-10Q+2000=0 equation:

Simplifying
-1Q2 + -10Q + 2000 = 0

Reorder the terms:
2000 + -10Q + -1Q2 = 0

Solving
2000 + -10Q + -1Q2 = 0

Solving for variable 'Q'.

Factor a trinomial.
(40 + -1Q)(50 + Q) = 0

Subproblem 1
Set the factor '(40 + -1Q)' equal to zero and attempt to solve:

Simplifying
40 + -1Q = 0

Solving
40 + -1Q = 0

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

Add '-40' to each side of the equation.
40 + -40 + -1Q = 0 + -40

Combine like terms: 40 + -40 = 0
0 + -1Q = 0 + -40
-1Q = 0 + -40

Combine like terms: 0 + -40 = -40
-1Q = -40

Divide each side by '-1'.
Q = 40

Simplifying
Q = 40
Subproblem 2
Set the factor '(50 + Q)' equal to zero and attempt to solve:

Simplifying
50 + Q = 0

Solving
50 + Q = 0

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

Add '-50' to each side of the equation.
50 + -50 + Q = 0 + -50

Combine like terms: 50 + -50 = 0
0 + Q = 0 + -50
Q = 0 + -50

Combine like terms: 0 + -50 = -50
Q = -50

Simplifying
Q = -50
Solution
Q = {40, -50}