-x^2+650x-90000=0

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

Simplifying
-1x2 + 650x + -90000 = 0

Reorder the terms:
-90000 + 650x + -1x2 = 0

Solving
-90000 + 650x + -1x2 = 0

Solving for variable 'x'.

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

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

Simplifying
-450 + x = 0

Solving
-450 + x = 0

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

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

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

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

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

Simplifying
200 + -1x = 0

Solving
200 + -1x = 0

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

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

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

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

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

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