x^2+121=-22x

Solution for x^2+121=-22x equation:

Simplifying
x2 + 121 = -22x

Reorder the terms:
121 + x2 = -22x

Solving
121 + x2 = -22x

Solving for variable 'x'.

Reorder the terms:
121 + 22x + x2 = -22x + 22x

Combine like terms: -22x + 22x = 0
121 + 22x + x2 = 0

Factor a trinomial.
(11 + x)(11 + 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 '(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
Solution
x = {-11, -11}