Final answer:
The discriminant of the quadratic equation 3 - 4x = -6x is 24.
Step-by-step explanation:
The discriminant is a term used in quadratic equations to determine the nature of the roots. In this case, we have the equation 3 - 4x = -6x. By rearranging it into the form ax^2 + bx + c = 0, we get -6x + 4x + 3 = 0, which simplifies to -2x + 3 = 0. The discriminant is calculated using the formula b^2 - 4ac, where a = -2, b = 0, and c = 3. Plugging these values into the formula, we get (0)^2 - 4(-2)(3) = 0 - (-24) = 24.