Answer
Absolute value equations of the form $|x-a|=0$ will have only one solution because only one number will make $x-a=0$.
Work Step by Step
Absolute value equations of the form $|x-a| = 0, \gt 0$ have one solution. This is because only one number will satisfy the equation, that is, the number that will make $x+a$ equal to zero.
For example,
The equation $|x-2|=0$ has one solution only because only $x=2$ will make $x-2=0$