1. **State the problem:** Solve the quadratic equation $100000000x^2 - 882x = 0$. 2. **Formula and rules:** To solve quadratic equations, we can factorize or use the quadratic formula. Here, factoring is straightforward. 3. **Factor the equation:** $$100000000x^2 - 882x = x(100000000x - 882) = 0$$ 4. **Set each factor equal to zero:** - $x = 0$ - $100000000x - 882 = 0$ 5. **Solve the second equation:** $$100000000x = 882$$ $$x = \frac{882}{100000000} = 0.00000882$$ 6. **Final solutions:** $$x = 0 \quad \text{or} \quad x = 0.00000882$$