Hi, Ron before testing any electrical component in the Turn Signal Light Circuit it is "IMPERATIVE" that you have a fully charged battery of 12.5 volts or more and be able to pass a proper "LOAD" test because your battery may have 12.5 volts or more but little or zero amps causing the battery to be faulty and must be replaced, "AGM" batteries fall into this category more so than lead-acid types, also before diagnosing any turn signal/running light/parking light issue make sure the bulb is good and the light fuse has continuity with a test light. If you have replaced your OEM lights with one or all LED lights you are going to need a load equalizer.
If no turn signals are working the cause could be a faulty turn signal module/flasher or the connector going to it, look for corroded, loose, or broken pins/sockets. Contact spray cleaner is great for removing corrosion.
If your turn signal comes on but takes several seconds before it starts flashing you may have dirty contacts in the turn signal switch/button, the switch needs to be opened up and cleaned also the flasher may be starting to fail. It should be noted that cold weather will only exacerbate the situation especially when temperatures drop down below freezing and the location of the component, turn signal switches on the handlebar are at the mercy of the oncoming freezing 70 mph wind and makes it hard for the contacts to do their job covered in frozen grease/grime
If all four turn signals flash at the same time like hazard lights even though you only pressed one turn signal button then you have a LED light in the circuit and need a load equalizer that can be purchased from any motorcycle parts supplier.
If your speedometer does not function properly it will have to be fixed first because your turn signal module gets the data from the speedometer for normal turn signal function.
If your front turn signals don't work use a test light to check for power and ground at the bulb socket, then start backtracking the wiring through every wire connector to the turn signal switch/button and check for continuity, go all the way back to the fuse if necessary to find the cause of the malfunction.
If your rear turn signals don't work check your rear fender wiring harness connector first, look for, corroded, broken, loose pins/sockets, power, and a good ground, the harness connector is usually located under the seat on the front of the rear fender then keep tracing the wiring look for obvious harness damage caused by the rear tire.
If you still can't find the malfunction backtrack from the rear fender wiring harness connector.
If one side does not work you could have a faulty turn signal switch or module check for continuity.
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Since all electrical works the same regardless of the vehicle, I would suspect that you've got a couple of grounds making contact where they shouldn't (power flow through).
I would recommend getting a volt meter that can check for OHMS and trace each line to determine it's function and polarity since on vehicles most things work when you give them 'ground'. From there, label each one somehow (tape, dots with a permanent marker ect) so you can keep the grounding wires separate from the positive or 'charged' ones. I hope this helps and good luck!