0=x^2+25x-10350

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

Simplifying
0 = x2 + 25x + -10350

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

Solving
0 = -10350 + 25x + x2

Solving for variable 'x'.

Combine like terms: 0 + 10350 = 10350
10350 + -25x + -1x2 = -10350 + 25x + x2 + 10350 + -25x + -1x2

Reorder the terms:
10350 + -25x + -1x2 = -10350 + 10350 + 25x + -25x + x2 + -1x2

Combine like terms: -10350 + 10350 = 0
10350 + -25x + -1x2 = 0 + 25x + -25x + x2 + -1x2
10350 + -25x + -1x2 = 25x + -25x + x2 + -1x2

Combine like terms: 25x + -25x = 0
10350 + -25x + -1x2 = 0 + x2 + -1x2
10350 + -25x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
10350 + -25x + -1x2 = 0

Factor a trinomial.
(90 + -1x)(115 + x) = 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 + x)' equal to zero and attempt to solve:

Simplifying
115 + x = 0

Solving
115 + x = 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 + x = 0 + -115

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

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

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