x^2+20x+11=-8

Solution for x^2+20x+11=-8 equation:

Simplifying
x2 + 20x + 11 = -8

Reorder the terms:
11 + 20x + x2 = -8

Solving
11 + 20x + x2 = -8

Solving for variable 'x'.

Reorder the terms:
11 + 8 + 20x + x2 = -8 + 8

Combine like terms: 11 + 8 = 19
19 + 20x + x2 = -8 + 8

Combine like terms: -8 + 8 = 0
19 + 20x + x2 = 0

Factor a trinomial.
(19 + x)(1 + x) = 0

Subproblem 1
Set the factor '(19 + x)' equal to zero and attempt to solve:

Simplifying
19 + x = 0

Solving
19 + x = 0

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

Add '-19' to each side of the equation.
19 + -19 + x = 0 + -19

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

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

Simplifying
x = -19
Subproblem 2
Set the factor '(1 + x)' equal to zero and attempt to solve:

Simplifying
1 + x = 0

Solving
1 + x = 0

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

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

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

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

Simplifying
x = -1
Solution
x = {-19, -1}