TV Repair Questions? Ask a TV Technician
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What is the exact model of the HP laptop?
HP Elite Book 69300p
The laptop only has a VGA port for output and the TV has composite and svideo that will work.
You need an adapter such as the following which includes all the cables to use either method. Svideo is better quality.
You also need to run sounds from the speaker jack to the TVs audio inputs using an 1/8 mini to 2 RCA cable.
Here is the adapter.