#### Answer

The solutions are $x=\left\{3, 4\right\}$.

#### Work Step by Step

To solve the given equation graphically, perform the following steps:
(1) Graph the function $y=x^2-7x+12$ 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 $x^2-7x+12$ is zero.
The x-coordinates of these points are the solutions to the given equation.
Notice that the graph crosses the x-axis at $(3, 0)$ and $(4, 0)$.
This means that the solutions to the given equation are $3$ and $4$.
Thus, the solutions are $x=\left\{3, 4\right\}$.