Solve by completing the square: 6x^2+39=5+12x

6x^2-12x=-34

x^2-2x=-34/6

x^2-2x=-17/3

x^2-2x+1 = - 17/3+1/1

x^2-2x+1 = - 14/3

(x-1) ^2 = - 14/3

x-1 = √-14/3

Final answer: No solution (you cannot find the root of a negative number)