x^2+25x-6984=0

Solution for x^2+25x-6984=0 equation:

Simplifying
x2 + 25x + -6984 = 0

Reorder the terms:
-6984 + 25x + x2 = 0

Solving
-6984 + 25x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-97 + -1x)(72 + -1x) = 0

Subproblem 1
Set the factor '(-97 + -1x)' equal to zero and attempt to solve:

Simplifying
-97 + -1x = 0

Solving
-97 + -1x = 0

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

Add '97' to each side of the equation.
-97 + 97 + -1x = 0 + 97

Combine like terms: -97 + 97 = 0
0 + -1x = 0 + 97
-1x = 0 + 97

Combine like terms: 0 + 97 = 97
-1x = 97

Divide each side by '-1'.
x = -97

Simplifying
x = -97
Subproblem 2
Set the factor '(72 + -1x)' equal to zero and attempt to solve:

Simplifying
72 + -1x = 0

Solving
72 + -1x = 0

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

Add '-72' to each side of the equation.
72 + -72 + -1x = 0 + -72

Combine like terms: 72 + -72 = 0
0 + -1x = 0 + -72
-1x = 0 + -72

Combine like terms: 0 + -72 = -72
-1x = -72

Divide each side by '-1'.
x = 72

Simplifying
x = 72
Solution
x = {-97, 72}