The point A has coordinates (5, 16) and the point B has coordinates (-4, 4). The variable point P has coordinates (x, y) and moves on a path such that AP = 2BP. Find the Cartesian equation of the path of P.

• A.(x + 7)² + y² = 100
• B.(x - 7)² + y² = 100
• C.(x + 7)² + y² + 100 = 0
• D.(x - 7)² + y² + 100 = 0