x^2-9x-8352=0

Solution for x^2-9x-8352=0 equation:

Simplifying
x2 + -9x + -8352 = 0

Reorder the terms:
-8352 + -9x + x2 = 0

Solving
-8352 + -9x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-87 + -1x)(96 + -1x) = 0

Subproblem 1
Set the factor '(-87 + -1x)' equal to zero and attempt to solve:

Simplifying
-87 + -1x = 0

Solving
-87 + -1x = 0

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

Add '87' to each side of the equation.
-87 + 87 + -1x = 0 + 87

Combine like terms: -87 + 87 = 0
0 + -1x = 0 + 87
-1x = 0 + 87

Combine like terms: 0 + 87 = 87
-1x = 87

Divide each side by '-1'.
x = -87

Simplifying
x = -87
Subproblem 2
Set the factor '(96 + -1x)' equal to zero and attempt to solve:

Simplifying
96 + -1x = 0

Solving
96 + -1x = 0

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

Add '-96' to each side of the equation.
96 + -96 + -1x = 0 + -96

Combine like terms: 96 + -96 = 0
0 + -1x = 0 + -96
-1x = 0 + -96

Combine like terms: 0 + -96 = -96
-1x = -96

Divide each side by '-1'.
x = 96

Simplifying
x = 96
Solution
x = {-87, 96}