Answer
$$x=-3\pm\sqrt3$$
Work Step by Step
The student should not have used the quadratic formula until the solution was set equal to zero.
Thus, we first put the function in the form $ax^2+bx+c$. Then, using the quadratic formula, we obtain:
$$x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$$
$$x=\frac{-6\pm \sqrt{(6)^2-4(1)(6)}}{2(1)}$$
$$x=-3\pm\sqrt3$$