Answer
The solution is -11.
Work Step by Step
$x^{2}$+22$x^{}$+121=0
$x^{2}$+11$x^{}$+11x+121=0
(x+11)+7(x+11)=0
(x+11)(x+11)=0
x+11=0 or x+11=0
x=-11 or x=-11
The solution is -11.
Check
Let x=-11
$x^{2}$+22$x^{}$+121=0
$(-11)^{2}$+22(-11)+121=0
121-244+121=0
0=0
