There are several versions of the G42 at HP's support site.
Which is yours?
But, in short, if there aren't any updates available for your BIOS - then you can't update it.
But, as the BIOS dates from 2010, you'll have to wonder if there is a compatibility problem between your system and Windows 10.
Windows 10 (build 10586) was released around 15 November 2015. Windows 10 (build10240 - the original release) was released around 30 July 2015.
Drivers dates earlier than that can be incompatible. You have to check the older drivers to see if they are compatible w/W10.
For example, the HECIx64.sys driver (part of the Intel Management Engine) dates from 2009. There have been updates to this program for W10.
If HP doesn't offer updates, it most likely means that they don't support W10 on this system. And that means you have to ask yourself why.
We can help find updated drivers, but it's your choice to decide if it's worth the effort to track these drivers down.
For the Intel Management Engine drivers, try searching the web for "intel management engine download windows 10" (without the quotes).
Here's the link for what I found: https://www.google.com/search?q=intel+management+engine+download+windows+10&ie=utf-8&oe=utf-8
I find that it's not real easy, on the Intel website, finding a version of this driver that will work with your system.
Further down the page you will find a Lenovo download - that's the one that I'd try on your system.
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