Answer
$x=${$-3,-1$}
Work Step by Step
Given: $(x+1)^2+(x+3)^2=4$
or, $x^2+2x+1+x^2+6x+9-4=0$
or, $2x^2+8x+6=0$
or, $x^2+4x+3=0$
or, $(x+1)(x+3)=0$
Hence, solution set $x=${$-3,-1$}
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