Its A, I just need the numbers

It's essential that you know the quadratic formula; you'll see it repeatedly.

In -2x^2 - 3x + 2 = 0, a= -2, b= -3 and c= 2.

Let's first find the discriminant, so that we can know whether the roots are real or complex.

The discriminant is b^2 - 4(a)(c), or (-3)^2 - 4(-2)(2).  This comes out to 9 + 16, or 25.  Thus we know that the solutions are real, not complex.

sqrt(25) = plus or minus 5.

Thus, the roots are:
 
        -(-3) plus or minus 5         3+5                                    3-5
x = -------------------------------- = --------- = -2        and        ------------ = 1/2
                 2(-2)                          -4                                        -4