Understanding complex mathematical equations requires a systematic approach and the use of specific techniques. Here are some strategies that can help improve your understanding of complex mathematical equations:

1. **Start with the basics**: Before attempting to understand complex equations, it is important to have a strong foundation in the underlying concepts and principles. Make sure you are familiar with the relevant mathematical concepts and definitions.

2. **Break it down**: Complex equations often consist of multiple components and symbols. Break down the equation into smaller parts and identify the meaning and significance of each component. This will help in understanding the overall structure and purpose of the equation.

3. **Analyze the structure**: Look for patterns and structures within the equation. Identify any recurring terms, constants, or variables. Pay attention to the order of operations and any mathematical operations involved, such as exponents, logarithms, or trigonometric functions.

4. **Solve step-by-step**: Work through the equation step-by-step, applying the appropriate mathematical operations and simplifying as you go along. This will help in understanding the logical progression and transformations involved in solving the equation.

5. **Refer to textbooks and resources**: Consult textbooks, lecture notes, or online resources that provide explanations and examples of similar equations. These resources often provide detailed explanations and step-by-step solutions, which can aid in understanding complex equations.

6. **Practice with examples**: Practice solving similar equations by working through example problems. This will help in applying the techniques and concepts learned and reinforce your understanding of complex equations.

7. **Seek clarification**: If you are struggling to understand a particular equation, don't hesitate to seek clarification from your teacher, classmates, or online forums. Discussing the problem with others can provide different perspectives and insights that can enhance your understanding.

8. **Visualize the equation**: Sometimes, representing the equation visually can help in understanding its structure and relationships. Use graphs, diagrams, or geometric interpretations to visualize the equation and its solutions.

9. **Review and revise**: Regularly review and revise the concepts and techniques related to complex equations. Build upon your understanding by working on increasingly difficult problems and exploring advanced topics.

By adopting these techniques and approaches, you can improve your understanding of complex mathematical equations and develop the skills necessary to solve them effectively. Practice, perseverance, and a systematic approach are key to mastering this optional subject.