windows 10 deleting partitions

Your Recovery partition looks big enough to be a manufacturer's recovery partition - to restore your PC to as bought.

But you don't, for example, seem to have a Windows 10 Recovery partition (about 450 -500Mb) which supports automatic repair and advanced troubleshooting options, used when things go wrong. So I would expect that if you did a SHIFT click restart, you would not have the normal set of options available to you.

Whether you keep the manufacturer's recovery partition is up to you. For example, you might wish to use it when selling your laptop. And if it's a new laptop, then it would presumably restore it with Win 10, if older, Win 8, Win 7... whatever came with the laptop.

These days with the way activation is handled on Windows 10. I would consider removing the manufacturer's partition, since you can easily download Media Creation Tool and install Windows again and Windows would automatically re-activate. After installation, its a simple matter of going to HP's website, entering your laptop's model number and installing the drivers and other software.

I would back up the contents of the tools partition and remove it. Another thing to consider, is the software thats on that partition is likely quite old, its better to download the newer software from the website.

Are you, or a backup software backing up to the D:\Recovery Partition? If so, stop the back up immediately. Remove any Backup files on the drive. Other then that, you shouldn't touch the Recovery Partition. This partition is used if you need to reinstall Windows to Default settings. It has the Windows OS, but it also includes any drivers that are required from the manufacturer as well.
If you have created a Recovery disc, you then can decide to delete the Partitions. Do not remove the small System Partition in the front of the drive as this has all of the Boot information. HP Notebook PCs - Removing the HP Recovery Partition | HP(R) Customer Support

fay said:

@dalchina
I honestly know very little about computers, I got as far as I did in screenshot through extensive research lol. My laptop came with 8 and I updated to 10. What is on my Recovery D, the factory recovery. Can you tell what it is?

It's used as I said to restore your PC to as it was when you bought it.
So if you were to follow the instructions for your PC to use it, you would find your PC running Windows 8, and all of your programs and data will have gone.

See:
Remove Your PC’s Recovery Partition and Take Control of Your Hard Drive

fay said:

Which partitions can I safely delete. I want to get rid of constant message pop up "low disc space on recovery D"

Maybe you are overthinking it, just disable the warning or increase recovery size, but that would be a wasted space.

Disable Low Disk Space Message in Windows 7 / 8 / 10

Resize a Partition for Free in Windows 7, 8.x, 10, or Vista

But then again, maybe Windows is looking for system recovery parition as dalchina mentioned.

What is System Reserved Partition in Windows 10/8/7

Remove the drive letter for the D drive and the nag screen will go away.

I would remove the drive letter for E too. They will still work, Windows doesn't need to see them though. Normally on a factory install they don't have drive letters. You must have set them, or something you did set them inadvertently.