Algebra 1

$x=-1$
$x^2+2x+1=0\longrightarrow$ 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 $x=-1$