What is the discriminant of the quadratic equation 3 - 4x = -6x^2-68-567688

The discriminant is -56.

The discriminant is found using

b²-4ac, after the quadratic is in standard form.  First, we will add 6x² to both sides to write it in standard form:
3-4x=-6x²
3-4x+6x²=-6x²+6x²
6x²-4x+3=0

We can now see that b=-4, a=6 and c=3:

(-4)²-4(6)(3)
16-72
-56