Here is what you'll need to connect your keyboard
A USB On-The-Go (or OTG) cable lets you connect accessories (like digital pianos) to your Android device. You can find it for a few dollars.
If your Android device has a wider connector than the one shown (Micro-B 3.0 instead of 2.0), this cable is backwards compatible and will always work regardless.
You may already have this cable if you have a printer or scanner. The standard A-to-B USB 2.0 cable is easy to find and is only a few dollars.
Do not buy a "USB 3.0" cable. It's a different shape that won't work.
Do not buy expensive $20+ USB cables. There is no reason to pay more than $5.
Troubleshooting If your keyboard isn't showing up in Synthesia, check your keyboard manufacturer's website to see if a driver is available. Mobile devices don't allow the installation of drivers, so this might be bad news. If the keyboard also has MIDI ports, try that instead of USB.
Once everything is connected, your keyboard should show up in Synthesia.
Head over to the Musical Devices section on the Settings screen to enable your device for input and output.
Then on the Music Input screen for your keyboard, play the lowest and highest notes so Synthesia knows how many keys your keyboard has.