x^2+8036x-518400=0

Solution for x^2+8036x-518400=0 equation:

Simplifying
x2 + 8036x + -518400 = 0

Reorder the terms:
-518400 + 8036x + x2 = 0

Solving
-518400 + 8036x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-8100 + -1x)(64 + -1x) = 0

Subproblem 1
Set the factor '(-8100 + -1x)' equal to zero and attempt to solve:

Simplifying
-8100 + -1x = 0

Solving
-8100 + -1x = 0

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

Add '8100' to each side of the equation.
-8100 + 8100 + -1x = 0 + 8100

Combine like terms: -8100 + 8100 = 0
0 + -1x = 0 + 8100
-1x = 0 + 8100

Combine like terms: 0 + 8100 = 8100
-1x = 8100

Divide each side by '-1'.
x = -8100

Simplifying
x = -8100
Subproblem 2
Set the factor '(64 + -1x)' equal to zero and attempt to solve:

Simplifying
64 + -1x = 0

Solving
64 + -1x = 0

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

Add '-64' to each side of the equation.
64 + -64 + -1x = 0 + -64

Combine like terms: 64 + -64 = 0
0 + -1x = 0 + -64
-1x = 0 + -64

Combine like terms: 0 + -64 = -64
-1x = -64

Divide each side by '-1'.
x = 64

Simplifying
x = 64
Solution
x = {-8100, 64}