228781=1010x-x^2

Solution for 228781=1010x-x^2 equation:

Simplifying
228781 = 1010x + -1x2

Solving
228781 = 1010x + -1x2

Solving for variable 'x'.

Reorder the terms:
228781 + -1010x + x2 = 1010x + -1010x + -1x2 + x2

Combine like terms: 1010x + -1010x = 0
228781 + -1010x + x2 = 0 + -1x2 + x2
228781 + -1010x + x2 = -1x2 + x2

Combine like terms: -1x2 + x2 = 0
228781 + -1010x + x2 = 0

Factor a trinomial.
(343 + -1x)(667 + -1x) = 0

Subproblem 1
Set the factor '(343 + -1x)' equal to zero and attempt to solve:

Simplifying
343 + -1x = 0

Solving
343 + -1x = 0

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

Add '-343' to each side of the equation.
343 + -343 + -1x = 0 + -343

Combine like terms: 343 + -343 = 0
0 + -1x = 0 + -343
-1x = 0 + -343

Combine like terms: 0 + -343 = -343
-1x = -343

Divide each side by '-1'.
x = 343

Simplifying
x = 343
Subproblem 2
Set the factor '(667 + -1x)' equal to zero and attempt to solve:

Simplifying
667 + -1x = 0

Solving
667 + -1x = 0

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

Add '-667' to each side of the equation.
667 + -667 + -1x = 0 + -667

Combine like terms: 667 + -667 = 0
0 + -1x = 0 + -667
-1x = 0 + -667

Combine like terms: 0 + -667 = -667
-1x = -667

Divide each side by '-1'.
x = 667

Simplifying
x = 667
Solution
x = {343, 667}