As wing man says, do the blinkers light up, but not flash or do they not light up at all? If they light up but don't flash, then I would suspect the flasher relay or a bad earth. If they don't light up at all, then I would suspect a fuse, wiring issue or bad flasher relay..
It should be fairly easy to diagnose the problem if you can find the flasher relay. There are 2 or 3 wires going to the flasher relay.
One is a positive 12 volt supply, the second goes to the blinker lights and the third wire (if present) is a ground. If you can find the relay check the 12 volts is present, if it isn't you need to trace back to the fuse and find if it's a fuse or wiring issue.
If 12volts is present then try using a jumper wire to bridge the 12 volts to the wire going to the blinker bulbs. If the bulbs light up then your Flasher relay is bad, if they don't light up then you either have dead bulbs or a wiring issue. You will need to take a volt meter and see if you have 12 volts at the bulb (put the negative lead of the voltmeter on the battery negative connection and use the positive lead to trace the 12 volts). If you have 12 volts at the bulb, then your earth is bad, if you don't have 12 volts then the wiring is damaged between the flasher relay and the bulb.
Hope this helps. It's not as complicated as it sounds..