Answer
$x=3$
$x=-1$
Work Step by Step
$-2x^2+4x+6=0~~$ (Divide both sides of the equation by $-2$):
$x^2-2x-3=0~~$ (Use: $-2x=x-3x$)
$x^2+x-3x-3=0$
$x(x+1)-3(x+1)=0$
$(x-3)(x+1)=0$
$x-3=0$
$x=3$
$x+1=0$
$x=-1$
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