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If I believe these issues and install errors are caused by the system image partitions on usb/iso not matching the hdd ones (ie NONE), im not an expert and would really appreciate the help of the community in order not to create more issues than these resets attempts have already created.
I have à Win 10 64 bits family edition, that came installed when i purchased my aspire e17(snid is 61107258766.) i bought it in a french shop in may 2016(i'm french).@Kinotropiks
Unfortunately as you know your System was rendered useless and unless your Personal Files and Data were backed up, they were lost also when the hard drive was formatted. Not to worry though, help is available.
You will need access to a working computer, or a friend with a working computer to help you. You will need a flash drive Larger Than 4GB. (a 4GB flash drive does not have enough room after formatting to hold the 64bit. version of Windows 10 Home.(Important... Format the USB Drive prior to using)
Choose the Create Windows 10 installation media by clicking the Download tool now.
When asked What do you want to do with MediaCreationTool.exe (17.5 MB)? From: download.microsoft.com
After a short time a UAC box will display asking you to grant permission for this program to make changes to your system
On the Applicable notices and license terms screen
On the What do you want to do? screen
Place the bullet in Create installation media (USB flash drive, DVD or ISO file) for another PC
On the Select language, architecture and edition screen
First Uncheck the Use the recommended options for this PC box.
Then Select the Language you prefer: The default is English if you desire a different language, ex. Francias choose from the dropdown list.
Then Select the Edition: The default is Windows 10 Leave It Windows 10
Then Select the Architecture: 64-bit (x64)
On the Choose which media to use screen
a. If you are using a USB Flash Drive make sure it is plugged in now!
Place the bullet in USB flash drive. This is your best choice!
Click Next and Follow the instructions in a. below
b. If you are creating an ISO File, please note: You will need a tool such as Windows USB/DVD Download Tool to create a bootable media which you can download later (*1).
Place the bullet in ISO file
Click Next and Follow the instructions in b. below
a. If you chose USB flash drive On the select a USB flash drive Make sure the USB flash drive is identified
b. If you chose ISO file you will be prompted the save location for the ISO file. I recommend saving the ISO file to your desktop for easy access later. The default name is Windows ISO Click Save
Sit back and relax as your selection is processed. When the process you've selected finishes you will either have a bootable UDB flash drive (a.) or the ISO file (b.) from which you will create bootable media USB drive or DVD.
When you are ready to install Windows 10 Home Edition 64-bit. be sure to change the boot order in the BIOS to reflect the media you will be using. (Use F-12 Key to temporarily change the boot order for the installation) do not make the change permanent because the hard drive will be the primary boot device at the next reboot which occurs automatically)
If you need further assistance, the Community is here to help!