X^2-4y^2-6x-8y=27

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Solution for X^2-4y^2-6x-8y=27 equation: 


Simplifying
X2 + -4y2 + -6x + -8y = 27

Reorder the terms:
X2 + -6x + -8y + -4y2 = 27

Solving
X2 + -6x + -8y + -4y2 = 27

Solving for variable 'X'.

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

Add '6x' to each side of the equation.
X2 + -6x + -8y + 6x + -4y2 = 27 + 6x

Reorder the terms:
X2 + -6x + 6x + -8y + -4y2 = 27 + 6x

Combine like terms: -6x + 6x = 0
X2 + 0 + -8y + -4y2 = 27 + 6x
X2 + -8y + -4y2 = 27 + 6x

Add '8y' to each side of the equation.
X2 + -8y + 8y + -4y2 = 27 + 6x + 8y

Combine like terms: -8y + 8y = 0
X2 + 0 + -4y2 = 27 + 6x + 8y
X2 + -4y2 = 27 + 6x + 8y

Add '4y2' to each side of the equation.
X2 + -4y2 + 4y2 = 27 + 6x + 8y + 4y2

Combine like terms: -4y2 + 4y2 = 0
X2 + 0 = 27 + 6x + 8y + 4y2
X2 = 27 + 6x + 8y + 4y2

Simplifying
X2 = 27 + 6x + 8y + 4y2

Reorder the terms:
-27 + X2 + -6x + -8y + -4y2 = 27 + 6x + 8y + 4y2 + -27 + -6x + -8y + -4y2

Reorder the terms:
-27 + X2 + -6x + -8y + -4y2 = 27 + -27 + 6x + -6x + 8y + -8y + 4y2 + -4y2

Combine like terms: 27 + -27 = 0
-27 + X2 + -6x + -8y + -4y2 = 0 + 6x + -6x + 8y + -8y + 4y2 + -4y2
-27 + X2 + -6x + -8y + -4y2 = 6x + -6x + 8y + -8y + 4y2 + -4y2

Combine like terms: 6x + -6x = 0
-27 + X2 + -6x + -8y + -4y2 = 0 + 8y + -8y + 4y2 + -4y2
-27 + X2 + -6x + -8y + -4y2 = 8y + -8y + 4y2 + -4y2

Combine like terms: 8y + -8y = 0
-27 + X2 + -6x + -8y + -4y2 = 0 + 4y2 + -4y2
-27 + X2 + -6x + -8y + -4y2 = 4y2 + -4y2

Combine like terms: 4y2 + -4y2 = 0
-27 + X2 + -6x + -8y + -4y2 = 0

The solution to this equation could not be determined.

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