x^2-13x-17780=0

Solution for x^2-13x-17780=0 equation:

Simplifying
x2 + -13x + -17780 = 0

Reorder the terms:
-17780 + -13x + x2 = 0

Solving
-17780 + -13x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-127 + -1x)(140 + -1x) = 0

Subproblem 1
Set the factor '(-127 + -1x)' equal to zero and attempt to solve:

Simplifying
-127 + -1x = 0

Solving
-127 + -1x = 0

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

Add '127' to each side of the equation.
-127 + 127 + -1x = 0 + 127

Combine like terms: -127 + 127 = 0
0 + -1x = 0 + 127
-1x = 0 + 127

Combine like terms: 0 + 127 = 127
-1x = 127

Divide each side by '-1'.
x = -127

Simplifying
x = -127
Subproblem 2
Set the factor '(140 + -1x)' equal to zero and attempt to solve:

Simplifying
140 + -1x = 0

Solving
140 + -1x = 0

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

Add '-140' to each side of the equation.
140 + -140 + -1x = 0 + -140

Combine like terms: 140 + -140 = 0
0 + -1x = 0 + -140
-1x = 0 + -140

Combine like terms: 0 + -140 = -140
-1x = -140

Divide each side by '-1'.
x = 140

Simplifying
x = 140
Solution
x = {-127, 140}