Answer
$x = -3, -2 ,3$
Work Step by Step
$x^3+2x^2-9x-18=0$
$x^2(x+2)-9(x+2)=0$
$(x+2)(x^2-9)=0$
$(x+2)(x-3)(x+3)=0$
$x+2=0$
$x+2-2=0-2$
$x = -2$
$x+3=0$
$x+3-3=0-3$
$x = -3$
$x-3=0$
$x-3+3=0+3$
$x = 3$
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