Discriminant of $$$3 x^{2} - 10 x = -2$$$

Find the discriminant of $$$3 x^{2} - 10 x = -2$$$.

Rewrite the equation: $$$3 x^{2} - 10 x = -2$$$ becomes $$$3 x^{2} - 10 x + 2 = 0$$$.

The discriminant of the quadratic equation $$$a x^{2} + b x + c = 0$$$ is $$$D = b^{2} - 4 a c$$$.

Our equation is $$$3 x^{2} - 10 x + 2 = 0$$$, so $$$a = 3$$$, $$$b = -10$$$, $$$c = 2$$$.

Thus, $$$D = \left(-10\right)^{2} - \left(4\right)\cdot \left(3\right)\cdot \left(2\right) = 76$$$.

The discriminant of $$$3 x^{2} - 10 x = -2$$$A is $$$76$$$A.