Answer
{$\dfrac{-1}{2},1$}
Work Step by Step
Re-write the given equation as: $2x^2-x-1=0$
Factorize the expression as: $2x^2-2x+x-1=0$
This implies that $(2x+1)(x-1)=0$
Need to apply zero-product property.
Thus, $x=\dfrac{-1}{2},1$
Hence, our solution set is: {$\dfrac{-1}{2},1$}