I have a plasma tv by Samsung model#PN51F5500 I’m trying to hook external speakers

Solution
TVs long ago stopped having speaker terminals, so you'll need an amplifier. You have to match the amplifier to your speakers.

Is this
your TV' back panel? If so - there's only Optical Out audio visible, so you'll need a stereo amplifier with optical input, or a converter for standard amplifier.
TVs long ago stopped having speaker terminals, so you'll need an amplifier. You have to match the amplifier to your speakers.

Is this
your TV' back panel? If so - there's only Optical Out audio visible, so you'll need a stereo amplifier with optical input, or a converter for standard amplifier.
 
Solution