x^2+19x=-88

Solution for x^2+19x=-88 equation:

Simplifying
x2 + 19x = -88

Reorder the terms:
19x + x2 = -88

Solving
19x + x2 = -88

Solving for variable 'x'.

Reorder the terms:
88 + 19x + x2 = -88 + 88

Combine like terms: -88 + 88 = 0
88 + 19x + x2 = 0

Factor a trinomial.
(11 + x)(8 + x) = 0

Subproblem 1
Set the factor '(11 + x)' equal to zero and attempt to solve:

Simplifying
11 + x = 0

Solving
11 + x = 0

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

Add '-11' to each side of the equation.
11 + -11 + x = 0 + -11

Combine like terms: 11 + -11 = 0
0 + x = 0 + -11
x = 0 + -11

Combine like terms: 0 + -11 = -11
x = -11

Simplifying
x = -11
Subproblem 2
Set the factor '(8 + x)' equal to zero and attempt to solve:

Simplifying
8 + x = 0

Solving
8 + x = 0

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

Add '-8' to each side of the equation.
8 + -8 + x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + x = 0 + -8
x = 0 + -8

Combine like terms: 0 + -8 = -8
x = -8

Simplifying
x = -8
Solution
x = {-11, -8}