x^2-999x-1000=0

Solution for x^2-999x-1000=0 equation:

Simplifying
x2 + -999x + -1000 = 0

Reorder the terms:
-1000 + -999x + x2 = 0

Solving
-1000 + -999x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-1 + -1x)(1000 + -1x) = 0

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

Simplifying
-1 + -1x = 0

Solving
-1 + -1x = 0

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

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

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

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

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

Simplifying
x = -1
Subproblem 2
Set the factor '(1000 + -1x)' equal to zero and attempt to solve:

Simplifying
1000 + -1x = 0

Solving
1000 + -1x = 0

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

Add '-1000' to each side of the equation.
1000 + -1000 + -1x = 0 + -1000

Combine like terms: 1000 + -1000 = 0
0 + -1x = 0 + -1000
-1x = 0 + -1000

Combine like terms: 0 + -1000 = -1000
-1x = -1000

Divide each side by '-1'.
x = 1000

Simplifying
x = 1000
Solution
x = {-1, 1000}