Answer
$$x=1.317,-5.317$$
Work Step by Step
The quadratic formula states:
$$ x_{1,\:2}=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$$
Solving by using the quadratic formula to approximate the solution, we find:
$$ x_{1,\:2}=\frac{-4\pm \sqrt{4^2-4\cdot \:1\left(-7\right)}}{2\cdot \:1}\\ x=-2+\sqrt{11},\:x=-2-\sqrt{11} \\ x=1.317,-5.317$$