4x^2+9y^2-32x^2+36y+64=0

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Solution for 4x^2+9y^2-32x^2+36y+64=0 equation: 


Simplifying
4x2 + 9y2 + -32x2 + 36y + 64 = 0

Reorder the terms:
64 + 4x2 + -32x2 + 36y + 9y2 = 0

Combine like terms: 4x2 + -32x2 = -28x2
64 + -28x2 + 36y + 9y2 = 0

Solving
64 + -28x2 + 36y + 9y2 = 0

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-64' to each side of the equation.
64 + -28x2 + 36y + -64 + 9y2 = 0 + -64

Reorder the terms:
64 + -64 + -28x2 + 36y + 9y2 = 0 + -64

Combine like terms: 64 + -64 = 0
0 + -28x2 + 36y + 9y2 = 0 + -64
-28x2 + 36y + 9y2 = 0 + -64

Combine like terms: 0 + -64 = -64
-28x2 + 36y + 9y2 = -64

Add '-36y' to each side of the equation.
-28x2 + 36y + -36y + 9y2 = -64 + -36y

Combine like terms: 36y + -36y = 0
-28x2 + 0 + 9y2 = -64 + -36y
-28x2 + 9y2 = -64 + -36y

Add '-9y2' to each side of the equation.
-28x2 + 9y2 + -9y2 = -64 + -36y + -9y2

Combine like terms: 9y2 + -9y2 = 0
-28x2 + 0 = -64 + -36y + -9y2
-28x2 = -64 + -36y + -9y2

Divide each side by '-28'.
x2 = 2.285714286 + 1.285714286y + 0.3214285714y2

Simplifying
x2 = 2.285714286 + 1.285714286y + 0.3214285714y2

Reorder the terms:
-2.285714286 + x2 + -1.285714286y + -0.3214285714y2 = 2.285714286 + 1.285714286y + 0.3214285714y2 + -2.285714286 + -1.285714286y + -0.3214285714y2

Reorder the terms:
-2.285714286 + x2 + -1.285714286y + -0.3214285714y2 = 2.285714286 + -2.285714286 + 1.285714286y + -1.285714286y + 0.3214285714y2 + -0.3214285714y2

Combine like terms: 2.285714286 + -2.285714286 = 0.000000000
-2.285714286 + x2 + -1.285714286y + -0.3214285714y2 = 0.000000000 + 1.285714286y + -1.285714286y + 0.3214285714y2 + -0.3214285714y2
-2.285714286 + x2 + -1.285714286y + -0.3214285714y2 = 1.285714286y + -1.285714286y + 0.3214285714y2 + -0.3214285714y2

Combine like terms: 1.285714286y + -1.285714286y = 0.000000000
-2.285714286 + x2 + -1.285714286y + -0.3214285714y2 = 0.000000000 + 0.3214285714y2 + -0.3214285714y2
-2.285714286 + x2 + -1.285714286y + -0.3214285714y2 = 0.3214285714y2 + -0.3214285714y2

Combine like terms: 0.3214285714y2 + -0.3214285714y2 = 0.0000000000
-2.285714286 + x2 + -1.285714286y + -0.3214285714y2 = 0.0000000000

The solution to this equation could not be determined.

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