200x-x^2=9516

Solution for 200x-x^2=9516 equation:

Simplifying
200x + -1x2 = 9516

Solving
200x + -1x2 = 9516

Solving for variable 'x'.

Reorder the terms:
-9516 + 200x + -1x2 = 9516 + -9516

Combine like terms: 9516 + -9516 = 0
-9516 + 200x + -1x2 = 0

Factor a trinomial.
(-122 + x)(78 + -1x) = 0

Subproblem 1
Set the factor '(-122 + x)' equal to zero and attempt to solve:

Simplifying
-122 + x = 0

Solving
-122 + x = 0

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

Add '122' to each side of the equation.
-122 + 122 + x = 0 + 122

Combine like terms: -122 + 122 = 0
0 + x = 0 + 122
x = 0 + 122

Combine like terms: 0 + 122 = 122
x = 122

Simplifying
x = 122
Subproblem 2
Set the factor '(78 + -1x)' equal to zero and attempt to solve:

Simplifying
78 + -1x = 0

Solving
78 + -1x = 0

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

Add '-78' to each side of the equation.
78 + -78 + -1x = 0 + -78

Combine like terms: 78 + -78 = 0
0 + -1x = 0 + -78
-1x = 0 + -78

Combine like terms: 0 + -78 = -78
-1x = -78

Divide each side by '-1'.
x = 78

Simplifying
x = 78
Solution
x = {122, 78}