There should be a recovery partition, even though you had a disk
- You can't make Bootable media from the Windows 7 installed operating system.
And you don't make it from the recovery partition the way you are trying to do it.
That Tool is if you had a downloaded Windows 7 ISO file, which you don't as Microsoft won't let you get one as your operating system is preinstalled.
- HP has their way for you to make recovery media from their recovery partition:
HP PCs - Creating Recovery Discs or Saving a Recovery Image to a ...
Or:
HP – Press F11 repeatedly at Boot to reinstall the OS
HP PCs - Performing an HP System Recovery (Windows 7) | HP ...
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You can also contact your Laptop/Computer Manufacturer and ask them to send you a set of Recovery Disks.
They should do that for a small cost, IF they still have them available.
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You can also borrow the exact same edition of Windows 7 Pro Retail DVD and use your Product Key on the COA sticker to reinstall the operating system.
The COA sticker is either on the underside of the Laptop or in the Battery Compartment.
With a Desktop it is either on the side, rear or top of the Computer Case.

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About Windows 10:
The free upgrade to Windows 10 offer from Microsoft expired on the 29th July, 2016.
But Microsoft has a number of exceptions in place for users that missed out on the free upgrade and they have currently not stated any end date to these exceptions (except for Assistive Technologies which has ended), but will adjust as necessary.
You will have to contact MS support and they may be able to assist you with a free upgrade to 10..
Also read this information:
All the Ways You Can Still Upgrade to Windows 10 for Free
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Upgrade to Windows 10: FAQ - Windows Help - Microsoft Support
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But first make sure that you have the correct system requirements and that your Computer Manufacturer supplies the correct Drivers for 10.
"Windows 10 System Requirements"
https://www.thurrott.com/windows/windows-10/3884/windows-10-system-requirements
https://www.microsoft.com/en-US/windows/windows-10-specifications#sysreqs
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If/When Microsoft withdraws the exception/s:
How to buy Windows 10:
http://www.microsoftstore.com/store/msusa/en\_US/cat/Windows/categoryID.70036700
Cheers.