CPU turns on, fan spins, screen flickers then black screen

Hi, I have a 2008 13” MacBook A1181 (EMC 2242, MB 820-2279-A) wich does not want to boot.

This is what’s happenning:

• I press the power button once
• The macbook turns on, the cpu is running and getting hot, the fan is spinning, the activity light turns on white
• About 4 seconds later, the screen “tries” to turn on for a split second, and then the screen turns back off, meaning there is no backlight and no image (I shined a light on the screen to verify this), and the activity light turns off
• The cpu keeps running and getting hot and the fan keeps spinning
• Then I cannot do anything, and I have to shut down with a single press of the power button.

What I tried:

• Resetting SMC and the NVRAM, but macbook doesn’t seem to respond to the key combinations
• Visual inspection on both sides of the board and could see no physical damage, no corrosion
• CPU Vcore is present, it’s reading about 0.930V
• With the charger plugged in but no battery present, the magsafe connector shows a green light
• With the charger plugged in and a battery present, magsafe turns green then amber, and one battery level light keeps flashing. If I disconnect the charger, about 4 seconds later the one battery level light flashes very fast around 6 times and then turns off
• The macbook behaves no differently with or without battery, with or without keyboard, by changing the RAM combinations
• Removing all ram DIMMs does make the motherboard put out a beeping noise
• I plugged my phone to see if USB is working and sure enough it is charging when the macbook is turned on.

I would really like to repair this macbook if possible, and it seems to be very close to be working so I have hope I can bring it back to life.

Could anyone please give me some help to troubleshoot this? All help is very greatly appreciated.