Understanding and solving problems related to nuclear chemistry and radioactive decay requires a systematic approach and a strong understanding of the underlying principles. Here are some strategies that can help in tackling such problems:

1. Understanding the Basics:
- Familiarize yourself with the fundamental concepts of nuclear chemistry, including isotopes, atomic number, mass number, and nuclear reactions.
- Learn about the different types of radioactive decay, such as alpha decay, beta decay, and gamma decay, and their respective characteristics.

2. Balancing Nuclear Equations:
- When given a nuclear equation, ensure that the sum of the atomic numbers and the sum of the mass numbers are balanced on both sides of the equation.
- Use the periodic table to determine the atomic numbers and mass numbers of the elements involved in the reaction.

3. Calculating Half-Life:
- Understand the concept of half-life, which is the time it takes for half of a radioactive substance to decay.
- Use the formula N = N₀ * (1/2)^(t/t₁/₂) to calculate the remaining quantity (N) of a radioactive substance after a given time (t), where N₀ is the initial quantity and t₁/₂ is the half-life.

4. Solving Decay Problems:
- Determine the type of decay involved (alpha, beta, or gamma) based on the changes in atomic and mass numbers.
- Use the decay equations and the knowledge of half-life to calculate the decay constant, decay rate, or the time required for a specific decay process.

5. Applications of Radioactive Decay:
- Understand the applications of radioactive decay, such as carbon dating, medical imaging, and nuclear power generation.
- Apply the principles of radioactive decay to solve problems related to these applications, such as determining the age of artifacts or calculating the radioactivity of a given sample.

6. Practice and Review:
- Solve a variety of practice problems to reinforce your understanding and improve problem-solving skills.
- Review the concepts regularly to ensure retention and familiarity with the principles of nuclear chemistry.

By following these strategies and investing time in practice and review, one can develop a strong foundation in nuclear chemistry and effectively solve problems related to radioactive decay.