x^2+22x=-21

Solution for x^2+22x=-21 equation:

Simplifying
x2 + 22x = -21

Reorder the terms:
22x + x2 = -21

Solving
22x + x2 = -21

Solving for variable 'x'.

Reorder the terms:
21 + 22x + x2 = -21 + 21

Combine like terms: -21 + 21 = 0
21 + 22x + x2 = 0

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

Subproblem 1
Set the factor '(21 + x)' equal to zero and attempt to solve:

Simplifying
21 + x = 0

Solving
21 + x = 0

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

Add '-21' to each side of the equation.
21 + -21 + x = 0 + -21

Combine like terms: 21 + -21 = 0
0 + x = 0 + -21
x = 0 + -21

Combine like terms: 0 + -21 = -21
x = -21

Simplifying
x = -21
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 = {-21, -1}