Processor AMD FX4320 become overheated after installing SSD AMD R3 240GB, before the CPU temperature was around 40-50°C but after installing it risen to 50-60°C, and the computer has reboot after 15 minutes of the gaming when the processor is not loaded anything heavy in games 30-50% maximum.
The FX4300 series 95w CPU has a max user operating temp of 70C internal core temp. If you are reading the internal CPU "core temp" with a applet such as OCCT, Core Temp, AIDA64, HWiNFO, then 60C would not be overheated. An SSD can supply the CPU with data faster than a traditional HDD so the CPU load may rise which would cause the CPU temp to rise. Make sure that the CPU and other fan speeds are set to 100% or Maximum so they can spin up as needed to provide more cooling under heavier load.
Your issue does not sound like CPU overheating. I would suggest running Memtest86+ V5.0 or later overnight to see if there are any RAM errors. Also make sure the CPU cooler was not bumped out of proper contact when installing the SSD. Removing and reinstalling the RAM can correct poor contact within the RAM slots.