There are two walls left, one being the one with the door.
So I would assume the bed's headboard would go against the wall with no door, closet or balcony.
Are we missing something here?

My thoughts exactly. For feng shui purposes, I'd place the head of the bed against the solid wall in such a way where the foot of the bed doesn't directly face the doorway.

Confused as well. What's the problem?

Agreed - I feel like this was a test. Though, it's possible that there's no solid wall - there might be a bathroom door to contend with. We do need more info, however. That said - if there are no appropriate wall expanses, a headboard would allow you to creat an extra space - creating a mini hallway in your room - a nice place to put a bench or sofa-type table for added interest.

Is it possible to see a floorplan of the room?

Sorry guys! Forgot to mention that the opposite wall is indeed solid, but there's an armchair in the corner, a TV with console, and a small desk for working. I think it's the only wall with outlets which is why all the lights and machines are on that side.

Since we aren't getting anymore info here's what I came up with...

Let's say that for whatever reason your only options are the closet wall or the balcony window area.
Since you need access to the closets your only option would be to cover the balcony glass doors with heavy, dramatic curtains and translucent curtains under those. This way at night you can have the curtains closed and create the illusion of a wall. And when you want some sunlight just use ties for the curtains and just reveal the underlying translucent curtain. This will give the illusion of a large window behind your bed.

An arched headboard would compliment this look the best.

The bed looks more narrow that those balcony glass doors so just leave some space behind the bed so that a person can have access to the balcony.

This isn't "ideal" but given the details and the situation this may give the bedroom the best look.

Extension cords for TV, etc.? Or move the TV and desk into another part of the home. Put the bed against the solid wall and work from there. My 2 cents...

we had a similar problem in our guest room and opted to block the closet doors, but affix some cool looking wheels to the wood bed frame so we could just roll it out of the way when we needed to access the closet. this would work only if you needed to occasionally access the closet. otherwise it would get a bit annoying to have to move a heavy bed back and forth every day.

Depending on the size of the room, if it's not doable to place the head of the bed against the solid wall, I'd consider getting a tall enough headboard (maybe covered in fabric), place the headboard so that it's facing the closet doors, with just enough space from the closet doors, to create a cozy dressing area behind the bed but in front of the closets. There should be nightstands on each side of the bed with big lamps to create ambiance. You might even want to put up a sheer curtain behind the headboard to divide the space even further.

Hang it from the ceiling, imo.

Ditch some of the other crap in the room and put the bed against the solid wall!

It is no good having the head of the bed at the windows - it will feel cold from drafts etc. I think a floor plan would help us re-arrange the whole room better.

Assuming there are 2 other walls, one being with the entry door...I would place the bed on the wall with no door and then there would be plenty of room for a headboard!!