1096x-x^2=268975

Solution for 1096x-x^2=268975 equation:

Simplifying
1096x + -1x2 = 268975

Solving
1096x + -1x2 = 268975

Solving for variable 'x'.

Reorder the terms:
-268975 + 1096x + -1x2 = 268975 + -268975

Combine like terms: 268975 + -268975 = 0
-268975 + 1096x + -1x2 = 0

Factor a trinomial.
(-725 + x)(371 + -1x) = 0

Subproblem 1
Set the factor '(-725 + x)' equal to zero and attempt to solve:

Simplifying
-725 + x = 0

Solving
-725 + x = 0

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

Add '725' to each side of the equation.
-725 + 725 + x = 0 + 725

Combine like terms: -725 + 725 = 0
0 + x = 0 + 725
x = 0 + 725

Combine like terms: 0 + 725 = 725
x = 725

Simplifying
x = 725
Subproblem 2
Set the factor '(371 + -1x)' equal to zero and attempt to solve:

Simplifying
371 + -1x = 0

Solving
371 + -1x = 0

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

Add '-371' to each side of the equation.
371 + -371 + -1x = 0 + -371

Combine like terms: 371 + -371 = 0
0 + -1x = 0 + -371
-1x = 0 + -371

Combine like terms: 0 + -371 = -371
-1x = -371

Divide each side by '-1'.
x = 371

Simplifying
x = 371
Solution
x = {725, 371}