x^2-200x-480000=0

Solution for x^2-200x-480000=0 equation:

Simplifying
x2 + -200x + -480000 = 0

Reorder the terms:
-480000 + -200x + x2 = 0

Solving
-480000 + -200x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-600 + -1x)(800 + -1x) = 0

Subproblem 1
Set the factor '(-600 + -1x)' equal to zero and attempt to solve:

Simplifying
-600 + -1x = 0

Solving
-600 + -1x = 0

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

Add '600' to each side of the equation.
-600 + 600 + -1x = 0 + 600

Combine like terms: -600 + 600 = 0
0 + -1x = 0 + 600
-1x = 0 + 600

Combine like terms: 0 + 600 = 600
-1x = 600

Divide each side by '-1'.
x = -600

Simplifying
x = -600
Subproblem 2
Set the factor '(800 + -1x)' equal to zero and attempt to solve:

Simplifying
800 + -1x = 0

Solving
800 + -1x = 0

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

Add '-800' to each side of the equation.
800 + -800 + -1x = 0 + -800

Combine like terms: 800 + -800 = 0
0 + -1x = 0 + -800
-1x = 0 + -800

Combine like terms: 0 + -800 = -800
-1x = -800

Divide each side by '-1'.
x = 800

Simplifying
x = 800
Solution
x = {-600, 800}