Answer
$x=-1$
Work Step by Step
$x^2+2x+1=0\longrightarrow$ the factors of 1 that sum to 2 are 1,1
$(x+1)(x+1)=0$
Using the product property,
$x+1=0\longrightarrow$ subtract one from each side
$x+1-1=0-1\longrightarrow$ subtract
$x=-1$
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