1. **Stating the problem:** Solve the equation $$x^3 - x^3 - x^3 = 0$$. 2. **Simplify the expression:** Combine like terms: $$x^3 - x^3 - x^3 = (x^3 - x^3) - x^3 = 0 - x^3 = -x^3$$. 3. **Rewrite the equation:** The equation becomes: $$-x^3 = 0$$. 4. **Solve for $x$:** Multiply both sides by $-1$: $$x^3 = 0$$. 5. **Find the root:** The only real root of $x^3 = 0$ is: $$x = 0$$. **Final answer:** $$x = 0$$