x^2+19x-2666=0

Solution for x^2+19x-2666=0 equation:

Simplifying
x2 + 19x + -2666 = 0

Reorder the terms:
-2666 + 19x + x2 = 0

Solving
-2666 + 19x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-62 + -1x)(43 + -1x) = 0

Subproblem 1
Set the factor '(-62 + -1x)' equal to zero and attempt to solve:

Simplifying
-62 + -1x = 0

Solving
-62 + -1x = 0

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

Add '62' to each side of the equation.
-62 + 62 + -1x = 0 + 62

Combine like terms: -62 + 62 = 0
0 + -1x = 0 + 62
-1x = 0 + 62

Combine like terms: 0 + 62 = 62
-1x = 62

Divide each side by '-1'.
x = -62

Simplifying
x = -62
Subproblem 2
Set the factor '(43 + -1x)' equal to zero and attempt to solve:

Simplifying
43 + -1x = 0

Solving
43 + -1x = 0

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

Add '-43' to each side of the equation.
43 + -43 + -1x = 0 + -43

Combine like terms: 43 + -43 = 0
0 + -1x = 0 + -43
-1x = 0 + -43

Combine like terms: 0 + -43 = -43
-1x = -43

Divide each side by '-1'.
x = 43

Simplifying
x = 43
Solution
x = {-62, 43}