Final answer:
The initial question is unclear, but the context implies a high school level problem possibly involving algebra, coordinate geometry, or calculus. Additional specifics of the question are required to provide a detailed step-by-step explanation.
Step-by-step explanation:
The initial question presents an expression that looks similar to a multiplication of binomials: (2x + 5) * (3x - 25). However, there appears to be a typo or irrelevant parts that the student has been instructed to ignore. Given the additional context provided, which includes variable assignments, expressions, and geometric considerations, it seems the student could be working on a range of mathematical topics, including algebra, coordinate geometry, or trigonometry. Without further clarification of the question, it is difficult to provide a specific step-by-step explanation. Please provide additional details or clarify the specific problem you need help with.
Some of the fragments provided suggest operations with complex numbers such as iy - 120, and hint at calculus concepts with notations like λdx, indicating integrals over a continuous variable, related to electric fields and point charges, which is a topic typically found in physics and mathematics.