9(x-2)^2 - 36 + 4(y+2)^2 - 16 = -36

Tue, 05 May 2026 17:14:55 +0000

Solving the Quadratic Equation: Transforming 9(x−2)² − 36 + 4(y+2)² − 16 = −36 If you're studying conic sections, algebraic manipulation, or exploring how to simplify complex equations, you may have encountered this type of equation: 9(x−2)² − 36 + 4(y+2)² − 16 = −36 This equation combines quadratic terms in both x and y, and while it may look intimidating at first, solving or analyzing it reveals powerful techniques in algebra and geometry. In this article, we will walk through the step-by-step process of simplifying this equation, exploring its structure, and understanding how it represents a geometric object. By the end, you’ll know how to manipulate such expressions and interpret their meaning. ---