Answer
$-\frac{1}{2},\frac{7}{3}$
Work Step by Step
Step 1. Find the factor of coefficients, we have $6=(2)(3)$ and $-7=(1)(-7)$
Step 2. Test the sum of products using the above factors to get $2(-7)+(3)(1)=-11$ which is the middle coefficient.
Step 3. Factor the equation as $(2x+1)(3x-7)=0$, thus the solutions are $x=-\frac{1}{2}$ and $x=\frac{7}{3}$
