Find any $x$-intercept(s) for the quadratic equation $y=-6x^{2}-7x+2$.

    A: $\left(- \frac{-7+\sqrt{97}}{12},0\right) \text{ and } \left(- \frac{-7-\sqrt{97}}{12},0\right)$

    B: $\text{This parabola doesn't have any } x \text{-intercept.}$

    C: $\left(- \frac{7+\sqrt{1}}{24},0\right) \text{ and } \left(- \frac{7-\sqrt{1}}{24},0\right)$

    D: $\left(- \frac{7+\sqrt{97}}{12},0\right) \text{ and } \left(- \frac{7-\sqrt{97}}{12},0\right)$

   A
   B
   C
   D