The teacher will be very surprised to see your correct solution 😉
2 2 ___ ___ ___ 108 + x + z + 5*y + 2*x*y + 2*y*z + 6*x*z + 6*x*\/ 6 + 6*z*\/ 6 + 12*y*\/ 6 = 0
x^2 + 2*x*y + 6*x*z + 6*sqrt(6)*x + 2*y*z + 5*y + 12*sqrt(6)*y + z^2 + 6*sqrt(6)*z + 108 = 0