x^2+22x=-57

Solution for x^2+22x=-57 equation:

Simplifying
x2 + 22x = -57

Reorder the terms:
22x + x2 = -57

Solving
22x + x2 = -57

Solving for variable 'x'.

Reorder the terms:
57 + 22x + x2 = -57 + 57

Combine like terms: -57 + 57 = 0
57 + 22x + x2 = 0

Factor a trinomial.
(19 + x)(3 + 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 '(3 + x)' equal to zero and attempt to solve:

Simplifying
3 + x = 0

Solving
3 + x = 0

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

Add '-3' to each side of the equation.
3 + -3 + x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + x = 0 + -3
x = 0 + -3

Combine like terms: 0 + -3 = -3
x = -3

Simplifying
x = -3
Solution
x = {-19, -3}