#### Answer

The solution is $x=\left\{2.55\right\}$.

#### Work Step by Step

To solve the given equation graphically, perform the following steps:
(1) Graph the function $y=x^3-2x^2-x-1$ using a graphing utility. Refer to the image below for the graph.
(2) Identify the point/s where the graph touch/cross the x-axis. These are the points where the value of $x^3-2x^2-x-1$ is zero.
The x-coordinates of these points are the solutions to the given equation.
Notice that the graph crosses the x-axis at $(2.547, 0)$.
This means that the solution to the given equation is approximately $2.55$.
Thus, the solution is $x=\left\{2.55\right\}$.