h^2+22h+121=0

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

Simplifying
h2 + 22h + 121 = 0

Reorder the terms:
121 + 22h + h2 = 0

Solving
121 + 22h + h2 = 0

Solving for variable 'h'.

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

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

Simplifying
11 + h = 0

Solving
11 + h = 0

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

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

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

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

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

Simplifying
11 + h = 0

Solving
11 + h = 0

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

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

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

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

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