x^2-25x-10350=0

Solution for x^2-25x-10350=0 equation:

Simplifying
x2 + -25x + -10350 = 0

Reorder the terms:
-10350 + -25x + x2 = 0

Solving
-10350 + -25x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-90 + -1x)(115 + -1x) = 0

Subproblem 1
Set the factor '(-90 + -1x)' equal to zero and attempt to solve:

Simplifying
-90 + -1x = 0

Solving
-90 + -1x = 0

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

Add '90' to each side of the equation.
-90 + 90 + -1x = 0 + 90

Combine like terms: -90 + 90 = 0
0 + -1x = 0 + 90
-1x = 0 + 90

Combine like terms: 0 + 90 = 90
-1x = 90

Divide each side by '-1'.
x = -90

Simplifying
x = -90
Subproblem 2
Set the factor '(115 + -1x)' equal to zero and attempt to solve:

Simplifying
115 + -1x = 0

Solving
115 + -1x = 0

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

Add '-115' to each side of the equation.
115 + -115 + -1x = 0 + -115

Combine like terms: 115 + -115 = 0
0 + -1x = 0 + -115
-1x = 0 + -115

Combine like terms: 0 + -115 = -115
-1x = -115

Divide each side by '-1'.
x = 115

Simplifying
x = 115
Solution
x = {-90, 115}