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.
(-115 + -1x)(90 + -1x) = 0

Subproblem 1
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
Subproblem 2
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
Solution
x = {-115, 90}