x^2+x-250500=0

Solution for x^2+x-250500=0 equation:

Simplifying
x2 + x + -250500 = 0

Reorder the terms:
-250500 + x + x2 = 0

Solving
-250500 + x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-501 + -1x)(500 + -1x) = 0

Subproblem 1
Set the factor '(-501 + -1x)' equal to zero and attempt to solve:

Simplifying
-501 + -1x = 0

Solving
-501 + -1x = 0

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

Add '501' to each side of the equation.
-501 + 501 + -1x = 0 + 501

Combine like terms: -501 + 501 = 0
0 + -1x = 0 + 501
-1x = 0 + 501

Combine like terms: 0 + 501 = 501
-1x = 501

Divide each side by '-1'.
x = -501

Simplifying
x = -501
Subproblem 2
Set the factor '(500 + -1x)' equal to zero and attempt to solve:

Simplifying
500 + -1x = 0

Solving
500 + -1x = 0

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

Add '-500' to each side of the equation.
500 + -500 + -1x = 0 + -500

Combine like terms: 500 + -500 = 0
0 + -1x = 0 + -500
-1x = 0 + -500

Combine like terms: 0 + -500 = -500
-1x = -500

Divide each side by '-1'.
x = 500

Simplifying
x = 500
Solution
x = {-501, 500}