j^2+22j+121=0

Solution for j^2+22j+121=0 equation:

Simplifying
j2 + 22j + 121 = 0

Reorder the terms:
121 + 22j + j2 = 0

Solving
121 + 22j + j2 = 0

Solving for variable 'j'.

Factor a trinomial.
(11 + j)(11 + j) = 0

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

Simplifying
11 + j = 0

Solving
11 + j = 0

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

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

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

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

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

Simplifying
11 + j = 0

Solving
11 + j = 0

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

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

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

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

Simplifying
j = -11
Solution
j = {-11, -11}