To connect your HP DeskJet 2755e to Wi-Fi, the simplest way is to use the HP Smart app for a guided wireless setup, or alternatively use the printer’s WPS button if your router supports it.

Here are the main methods:

1. **Using the HP Smart app**:
– Make sure your mobile device or computer is connected to your Wi-Fi network.
– Turn on your printer.
– Download and open the HP Smart app (available for Windows, Mac, Android, iOS).
– Add the printer within the app and follow the on-screen instructions to select your Wi-Fi network and enter the password.
This is the most user-friendly method to connect your printer to the network[4][5].

2. **Using the WPS method (Wi-Fi Protected Setup)**:
– On your HP DeskJet 2755e, press and hold the Wireless button for about three seconds until it starts blinking.
– On your router, press the WPS button within two minutes to start the connection process.
– The printer’s Wireless light should stop blinking and stay solid when successfully connected.
This method does not require entering your Wi-Fi password and is quick if your router supports WPS[1][3].

3. **Wi-Fi Direct mode** (for printing directly without a Wi-Fi network):
– You can activate the Wi-Fi Direct on the printer by pressing and holding the Wireless button and the Resume button together for a few seconds.
– This broadcasts a direct Wi-Fi signal from the printer.
– Connect your laptop or phone to this Wi-Fi network and print directly.
– You can print a Wi-Fi Direct password page for access details by pressing the Information and Resume button together briefly[2].

4. **Troubleshooting and manual checks**:
– Ensure your printer is within range of your router.
– Confirm your Wi-Fi is working and not firewall-restricted. Ports 9100 and 515 should be open if behind a firewall.
– Verify the printer’s Wi-Fi light is solid (blue) to confirm connection. If blinking, repeat the setup[5].

These instructions cover typical scenarios for connecting the HP DeskJet 2755e to Wi-Fi by either app-based setup or WPS button pairing, plus Wi-Fi Direct for direct wireless printing without a router. For more detailed visual guides, HP’s support website and HP Smart app provide step-by-step help.