Answer
$x=-1\pm\sqrt2$
Work Step by Step
$-x^2-2x+1=0\\x^2+2x-1=0\\x^2+x+x+1-2=0\\x^2+x+x+1=2\\x(x+1)+1(x+1)=2\\(x+1)^2=2\\x+1=\pm\sqrt2\\x=-1\pm\sqrt2$
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