x^2+19x-1032=0

Solution for x^2+19x-1032=0 equation:

Simplifying
x2 + 19x + -1032 = 0

Reorder the terms:
-1032 + 19x + x2 = 0

Solving
-1032 + 19x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-43 + -1x)(24 + -1x) = 0

Subproblem 1
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
Subproblem 2
Set the factor '(24 + -1x)' equal to zero and attempt to solve:

Simplifying
24 + -1x = 0

Solving
24 + -1x = 0

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

Add '-24' to each side of the equation.
24 + -24 + -1x = 0 + -24

Combine like terms: 24 + -24 = 0
0 + -1x = 0 + -24
-1x = 0 + -24

Combine like terms: 0 + -24 = -24
-1x = -24

Divide each side by '-1'.
x = 24

Simplifying
x = 24
Solution
x = {-43, 24}