Answer
$x = 0.322+\pi~n$, where $n$ is any integer
Work Step by Step
The least positive x-intercept of the graph of this function is $x = 0.322$
Since the period of this function is $\pi$, the general form of the x-intercepts for the function are: $x = 0.322+\pi~n$, where $n$ is any integer.
Therefore, the solutions of the equation $-2-cot(x-\frac{\pi}{4}) = 0$ are:
$x = 0.322+\pi~n$, where $n$ is any integer
