The card you quote is a wired ethernet device, not wireless:
The kmod-wl solution may work if you have a broadcom wireless device, but it doesn't work with all of those.
You might try posting back the full results of:
to see if we can find what the card actually is. What we are looking for is some other ethernet/network device. If one doesn't turn up in that listing, try:
Although that's for USB devices, there have been instances where those have been fixed directly to the motherboard.