x^2+16x-53760=0

Solution for x^2+16x-53760=0 equation:

Simplifying
x2 + 16x + -53760 = 0

Reorder the terms:
-53760 + 16x + x2 = 0

Solving
-53760 + 16x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-240 + -1x)(224 + -1x) = 0

Subproblem 1
Set the factor '(-240 + -1x)' equal to zero and attempt to solve:

Simplifying
-240 + -1x = 0

Solving
-240 + -1x = 0

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

Add '240' to each side of the equation.
-240 + 240 + -1x = 0 + 240

Combine like terms: -240 + 240 = 0
0 + -1x = 0 + 240
-1x = 0 + 240

Combine like terms: 0 + 240 = 240
-1x = 240

Divide each side by '-1'.
x = -240

Simplifying
x = -240
Subproblem 2
Set the factor '(224 + -1x)' equal to zero and attempt to solve:

Simplifying
224 + -1x = 0

Solving
224 + -1x = 0

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

Add '-224' to each side of the equation.
224 + -224 + -1x = 0 + -224

Combine like terms: 224 + -224 = 0
0 + -1x = 0 + -224
-1x = 0 + -224

Combine like terms: 0 + -224 = -224
-1x = -224

Divide each side by '-1'.
x = 224

Simplifying
x = 224
Solution
x = {-240, 224}