Answer:
The answer to your question is below
Step-by-step explanation:
-4x² + 9y² + 32x + 36y - 64 = 0
-4x² + 32x + 9y² + 36y = 64
-4(x² + 8x ) + 9(y² + 4x ) = 64 Factor coefficients
-4(x² + 8x + 4²) + 9(y² + 4x + 2²) = 64 - 64 + 36 Complete trinomials
-4(x + 4)² + 9(y + 2)² = 36 Factor trinomials
[tex]\frac{-4(x+4)^{2} }{36} + \frac{9(y + 2)^{2} }{36} = \frac{36}{36}[/tex]
Divide by 36
[tex]- \frac{(x+ 4)^{2} }{9} + \frac{(y + 2)^{2} }{4} = 1[/tex] Simplify
