1. **State the problem:** Solve the equation $x \frac{1}{2} = 0$ for $x$. 2. **Rewrite the equation:** The expression $x \frac{1}{2}$ means $x \times \frac{1}{2}$, so the equation is: $$x \times \frac{1}{2} = 0$$ 3. **Isolate $x$:** To solve for $x$, multiply both sides of the equation by 2 (the reciprocal of $\frac{1}{2}$): $$2 \times \left(x \times \frac{1}{2}\right) = 2 \times 0$$ Simplifying the left side: $$\left(2 \times \frac{1}{2}\right) x = 0$$ $$1 \times x = 0$$ $$x = 0$$ 4. **Interpretation:** Multiplying by $\frac{1}{2}$ halves the value of $x$. For the product to be zero, $x$ itself must be zero. **Final answer:** $$x = 0$$