Garmin nuvi won't turn on. My nuvi 610/660 won't turn on unless plugged in. When it's plugged in

Question

My nuvi 610/660 won't turn on unless plugged in. When it's plugged in it only goes as far as showing the sign that reads "Garmin Nuvi".

garmin nuvi 650...turns on, but when I answer "yes" it shuts off