Laptop not turning on but power light flickers

I bought this computer used a few months back, before it suddenly (while using it) randomly shut off and never turned back on again. I tried everything I could possibly think of in terms of fixing it ( remove ram sticks, cmos battery, unplug everything and press power button etc) before just leaving it alone and setting it in my closet. Recently, I've gotten back to it after having a idea that maybe it's the charger that's the issue, and to my surprise, it actually gave me some reaction after using a spare charger. So now, after plugging in the charger to my laptop, the charging light flashes a little. Also the Ethernet port light comes on a bit as well. I'm glad to see it's not dead as I thought it was, but is there any way I can fix this?