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I would try using a multimeter if you have one to test the battery voltage output. It should be around 11.55v for this laptop model to power the computer. If you have a voltage such as seven or below, this won't be enough to power the laptop. If this is the issue, you will need a new battery. Otherwise, one of the chips could overheat, causing a short or forced shutdown. [br]
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Using a Thermal Imaging Analyzing Camera will allow you to check if a chip is causing your issue.