1. **Stating the problem:** Solve the equation $x \cdot (x - 2) = 0$. 2. **Formula and rules:** The zero product property states that if $a \cdot b = 0$, then either $a = 0$ or $b = 0$. 3. **Applying the zero product property:** $$x = 0 \quad \text{or} \quad x - 2 = 0$$ 4. **Solving each equation:** - For $x = 0$, the solution is $x = 0$. - For $x - 2 = 0$, add 2 to both sides: $$x - \cancel{2} + 2 = \cancel{0} + 2$$ $$x = 2$$ 5. **Final answer:** The solutions to the equation are $x = 0$ and $x = 2$. These correspond to the points where the parabola intersects the x-axis on the graph.