It isn't actually ink... you are referring to the black 'splashes' on your screen correct? All it simply is, is the pixels that go on the screen to make the picture is being interrupted, it is like playing baseball in pitch black dark, you cannot hit the ball without sight, so the computer cannot load pixels without the screen being intact.
I. Dropped my laptop and the screen no longer worked. I took it to a local cell phone repair shop and they were able to fix it for much less than buying a new laptop and with a free estimate. Much better deal than Best Buy or Dell . That also included a six month warranty