Answer
The solutions are $x=\left\{0.25, 0.5\right\}$.
Work Step by Step
To solve the given equation graphically, perform the following steps:
(1) Graph the function $y=x^2-0.75x+0.125$ 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 $x^2-0.75x+0.125$ is zero.
The x-coordinates of these points are the solutions to the given equation.
Notice that the graph crosses the x-axis at $(0.25, 0)$ and $(0.5, 0)$.
This means that the solutions to the given equation are $0.25$ and $0.5$.
Thus, the solutions are $x=\left\{0.25, 0.5\right\}$.