x(x-3)(x^2- 3x+3)=x-3
Obviously, x=3 is the real root of the equation.
When x≠3, both sides are about to move towards x-3, so.
x(x^2- 3x+3)= 1
Simplified as x 3-3x 2+3x- 1 = 0, that is, (x- 1) 3 = 0.
x= 1
To sum up, x= 1 or x=3.