Answer
$x^2-4x-12=0$
Work Step by Step
As we are given that solution set : {$-2,6$}
This implies that $x=-2,6$
As per zero-product reverse property, we have $(x+2)(x-6)=0$
Now, apply FOIL METHOD
$(x+2)(x-6)=0 \implies x^2-6x+2x-12=0$
or, $x^2-4x-12=0$
