-x^2+400x-40000=0

Solution for -x^2+400x-40000=0 equation:

Simplifying
-1x2 + 400x + -40000 = 0

Reorder the terms:
-40000 + 400x + -1x2 = 0

Solving
-40000 + 400x + -1x2 = 0

Solving for variable 'x'.

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

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

Simplifying
-200 + x = 0

Solving
-200 + x = 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 + x = 0 + 200

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

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

Simplifying
x = 200
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 = {200, 200}