If I had $|x|$, then we know, for pretty much any $x$, that the following is true:$$|x|\ge0$$$$|0|=0?$$Which, by the nature of how we usually apply the absolute value, the solution is positive and real.
But that would make $|0|$ positive?
And since it equals itself, then I have come to the solution that $0$ is positive.
Which has become a contradiction? Because $-0=0$, therefore what?
Is the absolute value of zero defined easily? And is it positive?
According to the comments, the absolute value of $x$ is not negative, so the absolute value of $0$ is not negative either?