Answer
$\{\pm i,\pm i \}$
Work Step by Step
Step 1. Let $u=x^2$, we need to solve $u^2+2u+1=0$ or $(u+1)^2=0$ which gives $u=-1$ (multiplicity 2)
Step 2. For $u=-1$, we have $x^2=-1$ thus $x=\pm i$
Step 3. The zeros are $\{\pm i,\pm i \}$
You can help us out by revising, improving and updating this answer.
Update this answerAfter you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.