Move the constant term 3 and then extract the common factor from the left to simplify it.

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.