🚀 go-pugleaf

Just lying in bed thinking the other night I came up with this little
problem... kind of simple, but I've only been through high-school
pre-calc... if you figure it out, mail me with the answer... I'll respond
if you're right (or wrong I guess too) but I don't want the answer posted
until people have had a chance to mull over it.

Another note before the puzzle - I'm not exactly sure why this works, but
it does... and it works rather well... :)  So if you can explain the
reason behind the equation, I'd appreciate it... I just play around with
numbers in my head (turn words into numbers and add, etc. :) and I came up
with it... without further ado:

What is the significance of this equation?
x(.5(abs(x)+1))=y

If you work with it I'm sure you can figure it out... it's not too hard...
just kind of interesting if you like working with numbers. :)