Answer
$x=-6, -1$
Work Step by Step
$(x+4)^2-(x+4)-6=0$
$x*x+x*4+4*x+4*4-x-4-6=0$
$x^2+4x+4x+16-x-4-6=0$
$x^2+8x+16-x-10=0$
$x^2+7x+6=0$
$(x+1)(x+6)=0$
$x+1=0$
$x=-1$
$x+6=0$
$x=-6$
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