The video tutorial explains how to work with equations involving ellipses. It begins by introducing the problem and the need to simplify the equation by dividing by 64. The tutorial then identifies the values of A and B, which are crucial for understanding the ellipse's properties. The instructor demonstrates how to plot the center and determine the major and minor axes. The video continues by finding the vertices and co-vertices and concludes with calculating the foci using the relationship between A, B, and C.

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