The solo student pilot reported that the airplane ballooned during the landing flare and touched down beyond the planned touchdown point. He further reported that the airplane porpoised and on the third bounce he felt a vibration. Subsequently, the airplane departed the runway to the left and stopped in grass next to the runway.
The firewall sustained substantial damage.
The student pilot reported no preaccident mechanical malfunctions or failures with the airplane that would have precluded normal operation.