Answer
$12x^2+5x-2=0$
Work Step by Step
As we are given that solution set : {$-\dfrac{2}{3},\dfrac{1}{4}$}
This implies that $x=-\dfrac{2}{3},\dfrac{1}{4}$
As per zero-product reverse property, we have $(3x+2)(4x-1)=0$
Now, apply FOIL METHOD
$(3x+2)(4x-1)=0 \implies 12x^2-3x+8x-2=0$
or, $12x^2+5x-2=0$
