x^2+25x-8400=0

Solution for x^2+25x-8400=0 equation:

Simplifying
x2 + 25x + -8400 = 0

Reorder the terms:
-8400 + 25x + x2 = 0

Solving
-8400 + 25x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-105 + -1x)(80 + -1x) = 0

Subproblem 1
Set the factor '(-105 + -1x)' equal to zero and attempt to solve:

Simplifying
-105 + -1x = 0

Solving
-105 + -1x = 0

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

Add '105' to each side of the equation.
-105 + 105 + -1x = 0 + 105

Combine like terms: -105 + 105 = 0
0 + -1x = 0 + 105
-1x = 0 + 105

Combine like terms: 0 + 105 = 105
-1x = 105

Divide each side by '-1'.
x = -105

Simplifying
x = -105
Subproblem 2
Set the factor '(80 + -1x)' equal to zero and attempt to solve:

Simplifying
80 + -1x = 0

Solving
80 + -1x = 0

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

Add '-80' to each side of the equation.
80 + -80 + -1x = 0 + -80

Combine like terms: 80 + -80 = 0
0 + -1x = 0 + -80
-1x = 0 + -80

Combine like terms: 0 + -80 = -80
-1x = -80

Divide each side by '-1'.
x = 80

Simplifying
x = 80
Solution
x = {-105, 80}