X^2-4y^2+4x+32y-96=0

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Solution for X^2-4y^2+4x+32y-96=0 equation: 


Simplifying
X2 + -4y2 + 4x + 32y + -96 = 0

Reorder the terms:
-96 + X2 + 4x + 32y + -4y2 = 0

Solving
-96 + X2 + 4x + 32y + -4y2 = 0

Solving for variable 'X'.

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

Add '96' to each side of the equation.
-96 + X2 + 4x + 32y + 96 + -4y2 = 0 + 96

Reorder the terms:
-96 + 96 + X2 + 4x + 32y + -4y2 = 0 + 96

Combine like terms: -96 + 96 = 0
0 + X2 + 4x + 32y + -4y2 = 0 + 96
X2 + 4x + 32y + -4y2 = 0 + 96

Combine like terms: 0 + 96 = 96
X2 + 4x + 32y + -4y2 = 96

Add '-4x' to each side of the equation.
X2 + 4x + 32y + -4x + -4y2 = 96 + -4x

Reorder the terms:
X2 + 4x + -4x + 32y + -4y2 = 96 + -4x

Combine like terms: 4x + -4x = 0
X2 + 0 + 32y + -4y2 = 96 + -4x
X2 + 32y + -4y2 = 96 + -4x

Add '-32y' to each side of the equation.
X2 + 32y + -32y + -4y2 = 96 + -4x + -32y

Combine like terms: 32y + -32y = 0
X2 + 0 + -4y2 = 96 + -4x + -32y
X2 + -4y2 = 96 + -4x + -32y

Add '4y2' to each side of the equation.
X2 + -4y2 + 4y2 = 96 + -4x + -32y + 4y2

Combine like terms: -4y2 + 4y2 = 0
X2 + 0 = 96 + -4x + -32y + 4y2
X2 = 96 + -4x + -32y + 4y2

Simplifying
X2 = 96 + -4x + -32y + 4y2

Reorder the terms:
-96 + X2 + 4x + 32y + -4y2 = 96 + -4x + -32y + 4y2 + -96 + 4x + 32y + -4y2

Reorder the terms:
-96 + X2 + 4x + 32y + -4y2 = 96 + -96 + -4x + 4x + -32y + 32y + 4y2 + -4y2

Combine like terms: 96 + -96 = 0
-96 + X2 + 4x + 32y + -4y2 = 0 + -4x + 4x + -32y + 32y + 4y2 + -4y2
-96 + X2 + 4x + 32y + -4y2 = -4x + 4x + -32y + 32y + 4y2 + -4y2

Combine like terms: -4x + 4x = 0
-96 + X2 + 4x + 32y + -4y2 = 0 + -32y + 32y + 4y2 + -4y2
-96 + X2 + 4x + 32y + -4y2 = -32y + 32y + 4y2 + -4y2

Combine like terms: -32y + 32y = 0
-96 + X2 + 4x + 32y + -4y2 = 0 + 4y2 + -4y2
-96 + X2 + 4x + 32y + -4y2 = 4y2 + -4y2

Combine like terms: 4y2 + -4y2 = 0
-96 + X2 + 4x + 32y + -4y2 = 0

The solution to this equation could not be determined.

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