It is possible that the power outlet where your computer's power cord is plugged in is not working properly. To check this, disconnect the computer's power cord and plug another device in the same outlet or test the outlet with a mains tester CAREFULLY.
Note: Do not buy cheap outlets because they may start a fire due to their weak insulation.
As time goes by, the power cord weakens and it doesn't provide a good flow of electricity between the power outlet and the computer.
Unplug the power cord (the cord which connects the computer's power supply and the power outlet, or the cord that connects the laptop's adapter and the power outlet) and examine it carefully. If the power cable is damaged (e.g you saw a blue, yellow-green or black wire, or copper), replace it.
Maybe the power cord doesn't have visible signs of damage. Try plugging a different power cord in a power outlet which is working properly. If your computer does turn on, your power cord is the problem and you should replace it.
Also, you can check the same power cord on another computer, or other device that requires the same power cord type and are working properly. If that device doesn't turn on as well, the power cord is the problem and you need to replace it.
Note: Buy a thicker power cord because it is far better insulated and less prone to physical damages. Electricity is not a toy you can play with and it is very important to buy a high-quality power cord, which is thicker (because it has a better insulation). A low quality power cable may cause a severe computer malfunction such as inflicting a damage to a computer component (usually the power supply). Furthermore, keep the power cable from direct sunlight exposure and hot environment.
Sometimes, a loose power cable can be a reason why your computer doesn't turn on. Check if the power cable is properly plugged in and make sure it is not loosely connected.
A loosely connected cable prevents a good flow of electricity and that is why you should be very careful how you plug it in.
Test the power outlet where your computer is plugged in. If you are not sure how, check this article.
If there is no electricity, check if there is any electricity in another power outlet in the same room or in the house/flat. If there is, try and plug in the power cord there to see if the computer turns on then.
Note: BE VERY CAREFUL WHEN YOU TEST THE POWER OUTLET. EVEN A MINOR CONTACT OF TWO OF THE WIRES IN THE OUTLET MAY RESULT IN SEVERE INJURIES.
Maybe the power on/off button has malfunctioned and that is why your computer doesn't turn on. Replacing the power on/off button will fix the issue.
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