32 bit application Registry location in x64 Windows

For 64 bit application in  64 bit Windows
HKEY_LOCAL_MACHINE\SOFTWARE\

For 32 bit application
HKEY_LOCAL_MACHINE\SOFTWARE\Wow6432Node

To access or store Registry by Win API, the API will redirect to the corresponding  path

Also the uninstall registry of 32 bit application in win64 is located at

HKEY_LOCAL_MACHINE\SOFTWARE\Wow6432Node\Microsoft\Windows\CurrentVersion\Uninstall\{product GUID}