x^2-19x-7920=0

Solution for x^2-19x-7920=0 equation:

Simplifying
x2 + -19x + -7920 = 0

Reorder the terms:
-7920 + -19x + x2 = 0

Solving
-7920 + -19x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-80 + -1x)(99 + -1x) = 0

Subproblem 1
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
Subproblem 2
Set the factor '(99 + -1x)' equal to zero and attempt to solve:

Simplifying
99 + -1x = 0

Solving
99 + -1x = 0

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

Add '-99' to each side of the equation.
99 + -99 + -1x = 0 + -99

Combine like terms: 99 + -99 = 0
0 + -1x = 0 + -99
-1x = 0 + -99

Combine like terms: 0 + -99 = -99
-1x = -99

Divide each side by '-1'.
x = 99

Simplifying
x = 99
Solution
x = {-80, 99}