Deux pistes ...
Problème de permission ou d'antivirus, voire les deux combinés
1- The error code 0x80070005 is also described as "ACCESS DENIED." You may receive this error if you don't have the appropriate permissions to install a particular update or program. This can also happen if malware is on your computer.
This error can also be caused by a malware infection. Open your antivirus software, and run a scan to detect and remove any malware. You can use Microsoft Safety Scanner. To download and run Microsoft Safety Scanner, follow these steps:
1.Go to the following Microsoft Safety Scanner:
<<http://www.microsoft.com/security/scanner/en-us/default.aspx>>
2.Click Download Now.
3.If you are prompted, click Run.
4.Follow the instructions to download and install Safety Scanner. When you are prompted, add a shortcut to Safety Scanner to your desktop.
5.From your desktop, double-click the Safety Scanner icon. When Safety Scanner starts, click Scan Type, click Full Scan, and then click Next.
6.After the scan is complete, remove all detected malware entries, and then try to install the updates again.
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2-Description: This is a technical article on the topic of troubleshooting and resolving Windows Update error 0x8007005 or 8007005 in Windows 7.
The most common cause of this is an antivirus program preventing the Windows Update from completing. In this case, the fix is to temporarily disable your Antivirus program. This article will show how to disable ESET Antivirus, although the steps may be different for other antivirus programs this can be used as a general guide.
Close any open programs on the machine.
Within the system tray, locate the antivirus program in the bottom right corner of the screen. If it doesn’t appear automatically, click the arrow pointing up or to the left to show more icons.
Locate Antivirus
Right-click on the Antivirus program.
Select the Temporarily Disable Protection option, or whatever option best represents this idea.
temporarily disable protection
If prompted to confirm, choose the affirmative option such as Yes or Continue.
Yes
Some antivirus programs will prompt you for a time. Typically 30 minutes is enough time, but if multiple updates are required it may be good to choose an hour or more.
time interval
Once it has been turned off, a popup may appear in the bottom right asking to turn it back on. Ignore this message.
Ignore this message
Click on the Start button in the bottom left, then in the "Search Programs and Files" box type in "Windows update" (without the quotes) and press enter.
windows update
If there are Updates available, Windows will show the available updates on the screen.
Updates available
Click on "Install Updates" to install all important and recommended updates.
install updates
If no updates are available, click on "Check for Updates" in the top left to check for any available updates.
Check for updates
If any updates are found, click on "Install Updates" to install all important and recommended updates.