So I finally got a gym membership.. help

This is what I have been doing and I’m just not sure if I’m doing what I should be.

Here’s what I do

Wake up get to gym early

5-10 mins warm up

Work out back on all the back machines until tired

Do 15-30 mins of cardio if I don’t spend too much time on back

Next day

Same except legs and butt

Next day

Same except arms chest shoulders abs

Rest day

Repeat..

I go to LA fitness so there are a lot of machines. I usually do 3 sets of everything I can. My question is should I be trying to use every machine. Do you have a plan you follow at the gym? I feel like I’m doing to much by what it looks but at the same time I feel like I could be doing more... I’m just unsure and don’t want to look foolish.