If the charger works and plugging it on, the led flashes, that means that the charging system works correctly. Try to leave it loading until the light is fixed. If in spite of that it will not start try to hold down the power button for 30 seconds, then press the power button three times again and finally put the charger and try to turn on
It is possible that this error happens to you by the action of some peripherals on the tablet, a usb mouse, a portable hard drive ..... I tell you because it is the same problem I had with an Apple Macbook. This is a lock that, disconnecting the battery for a few seconds, disappears.
Keep it in mind for repeating itself