x^2-10x-8624=0

Solution for x^2-10x-8624=0 equation:

Simplifying
x2 + -10x + -8624 = 0

Reorder the terms:
-8624 + -10x + x2 = 0

Solving
-8624 + -10x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-88 + -1x)(98 + -1x) = 0

Subproblem 1
Set the factor '(-88 + -1x)' equal to zero and attempt to solve:

Simplifying
-88 + -1x = 0

Solving
-88 + -1x = 0

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

Add '88' to each side of the equation.
-88 + 88 + -1x = 0 + 88

Combine like terms: -88 + 88 = 0
0 + -1x = 0 + 88
-1x = 0 + 88

Combine like terms: 0 + 88 = 88
-1x = 88

Divide each side by '-1'.
x = -88

Simplifying
x = -88
Subproblem 2
Set the factor '(98 + -1x)' equal to zero and attempt to solve:

Simplifying
98 + -1x = 0

Solving
98 + -1x = 0

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

Add '-98' to each side of the equation.
98 + -98 + -1x = 0 + -98

Combine like terms: 98 + -98 = 0
0 + -1x = 0 + -98
-1x = 0 + -98

Combine like terms: 0 + -98 = -98
-1x = -98

Divide each side by '-1'.
x = 98

Simplifying
x = 98
Solution
x = {-88, 98}