Answer
$x=\left\{-0.89, 0.71\right\}$
Work Step by Step
To solve the given equation graphically, you have to treat each side of the equation as a function.
Thus, using a graphing utility, graph the functions:
$y=e^{x^2}-2$ (blue graph)
$y=x^3-x$ (the red graph)
(refer to the image below for the graph.
The point/s where the graphs intersect are the points where $e^{x^2}-2=x^3-x$.
The x-coordinates of these point are the solutions to the given equation.
Note that the graphs intersect at the points $(-0.886, 0.191)$ and $(0.706, -0.354)$.
The x-coordinates of these points are $-0.886$ and $0.706$.
Rounded-off to two decimal places, the solution to the given equation is:
$x=\left\{-0.89, 0.71\right\}$.
