1. **State the problem:** Solve the equation $5(5-7) - 2(3+4) = 0$. 2. **Apply the distributive property:** Multiply inside the parentheses by the numbers outside. $$5(5-7) = 5 \times 5 - 5 \times 7 = 25 - 35 = -10$$ $$-2(3+4) = -2 \times 3 - 2 \times 4 = -6 - 8 = -14$$ 3. **Rewrite the equation with these values:** $$-10 - 14 = 0$$ 4. **Simplify the left side:** $$-10 - 14 = -24$$ 5. **Check if the equation holds:** $$-24 = 0$$ is false. 6. **Conclusion:** The equation $5(5-7) - 2(3+4) = 0$ is not true; it simplifies to $-24 = 0$, which is false. Therefore, the equation has no solution.