Random Power Off, Won’t Boot Back Up

Last night watching Netflix, my Toshiba Satellite S55T-B5282 randomly shut off completely while not plugged in. I figured it’s power died, but after trying to charge it and power it back up, nothing has turned it back on. I have taken the battery pack out and held down the power button for a minute to drain the battery and attempted to boot it with just the power chord attached, but it still did not work. I tried the same thing while putting the battery pack back in with no success. There is a white light at the bottom right of the base (the far opposite side of the power plug) which lights up when I plug in the power after taking the battery out, but instantly turns off when I press the power button. I also hear a whirring I believe coming from the hard drive which also turns off as soon as I press the power button. Any suggestions?