2x^3-9x^2+27=0
2x^3-6x^2-3x^2+27=0
2x^2(x-3)-3(x^2-9)=0
2x^2(x-3)-3(x+3)(x-3)=0
(x-3)(2x^2-3x-9)=0
(x-3)(2x+3)(x-3)=0
x=3 or x=-3/2