Chapter 4 Quadratic Functions and Factoring - 4.8 Use the Quadratic Formula and the Discriminant - 4.8 Exercises - Skill Practice - Page 296: 27

$$x=4,\:x=-2$$

Solving the equation using the quadratic formula, we find: $$x_{1,\:2}=\frac{-\left(-6\right)\pm \sqrt{\left(-6\right)^2-4\cdot \:3\left(-24\right)}}{2\cdot \:3} \\ x=4,\:x=-2$$ Checking by factoring the expression, we find: $$3\left(x^2-2x-8\right) \\ 3\left(x+2\right)\left(x-4\right)$$