x^2-17x-5184=0

Solution for x^2-17x-5184=0 equation:

Simplifying
x2 + -17x + -5184 = 0

Reorder the terms:
-5184 + -17x + x2 = 0

Solving
-5184 + -17x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-64 + -1x)(81 + -1x) = 0

Subproblem 1
Set the factor '(-64 + -1x)' equal to zero and attempt to solve:

Simplifying
-64 + -1x = 0

Solving
-64 + -1x = 0

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

Add '64' to each side of the equation.
-64 + 64 + -1x = 0 + 64

Combine like terms: -64 + 64 = 0
0 + -1x = 0 + 64
-1x = 0 + 64

Combine like terms: 0 + 64 = 64
-1x = 64

Divide each side by '-1'.
x = -64

Simplifying
x = -64
Subproblem 2
Set the factor '(81 + -1x)' equal to zero and attempt to solve:

Simplifying
81 + -1x = 0

Solving
81 + -1x = 0

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

Add '-81' to each side of the equation.
81 + -81 + -1x = 0 + -81

Combine like terms: 81 + -81 = 0
0 + -1x = 0 + -81
-1x = 0 + -81

Combine like terms: 0 + -81 = -81
-1x = -81

Divide each side by '-1'.
x = 81

Simplifying
x = 81
Solution
x = {-64, 81}