If your Toshiba Satellite L305D stopped showing video on the screen, there could be an easy fix for this problem.
First of all, test the laptop with an external monitor. If the external image appears to be fine, the next step is checking connection between the video cable and motherboard.
In this model the screen might stop working because the video cable gets disconnected from the motherboard.
I have seen a problem like that on a few different Satellite L305D and L305 laptops.