x^2+16x-7680=0

Solution for x^2+16x-7680=0 equation:

Simplifying
x2 + 16x + -7680 = 0

Reorder the terms:
-7680 + 16x + x2 = 0

Solving
-7680 + 16x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-96 + -1x)(80 + -1x) = 0

Subproblem 1
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
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 = {-96, 80}