At this point it`s always important to ask what brand of power supply is currently in your system.
How many watts it is in total output, and amp rating for the 12v power rails of the PSU.
And how old the Psu may be in years.
If the CPU was broken then the motherboard should at least report this via a bios beep code error.
Or by the two digit Lcd code error displayed on the motherboard if it has one Linkman.
If the system is a few years old say two to three years and the power supply of it the same in age.
It can be likely that the psu is the cause.
Mainly due to if the psu is of a cheap or not well branded and trusted manufacturer Linkman.
If that fails to give a result.
And the board is not giving any sort of bios beep error codes,
I suggest you at least try the cpu in another motherboard cpu socket to confirm if it is the motherboard at fault or the cpu it`s self if you can.