X^2+4y^2-2x+8y=9

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Solution for X^2+4y^2-2x+8y=9 equation: 


Simplifying
X2 + 4y2 + -2x + 8y = 9

Reorder the terms:
X2 + -2x + 8y + 4y2 = 9

Solving
X2 + -2x + 8y + 4y2 = 9

Solving for variable 'X'.

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

Add '2x' to each side of the equation.
X2 + -2x + 8y + 2x + 4y2 = 9 + 2x

Reorder the terms:
X2 + -2x + 2x + 8y + 4y2 = 9 + 2x

Combine like terms: -2x + 2x = 0
X2 + 0 + 8y + 4y2 = 9 + 2x
X2 + 8y + 4y2 = 9 + 2x

Add '-8y' to each side of the equation.
X2 + 8y + -8y + 4y2 = 9 + 2x + -8y

Combine like terms: 8y + -8y = 0
X2 + 0 + 4y2 = 9 + 2x + -8y
X2 + 4y2 = 9 + 2x + -8y

Add '-4y2' to each side of the equation.
X2 + 4y2 + -4y2 = 9 + 2x + -8y + -4y2

Combine like terms: 4y2 + -4y2 = 0
X2 + 0 = 9 + 2x + -8y + -4y2
X2 = 9 + 2x + -8y + -4y2

Simplifying
X2 = 9 + 2x + -8y + -4y2

Reorder the terms:
-9 + X2 + -2x + 8y + 4y2 = 9 + 2x + -8y + -4y2 + -9 + -2x + 8y + 4y2

Reorder the terms:
-9 + X2 + -2x + 8y + 4y2 = 9 + -9 + 2x + -2x + -8y + 8y + -4y2 + 4y2

Combine like terms: 9 + -9 = 0
-9 + X2 + -2x + 8y + 4y2 = 0 + 2x + -2x + -8y + 8y + -4y2 + 4y2
-9 + X2 + -2x + 8y + 4y2 = 2x + -2x + -8y + 8y + -4y2 + 4y2

Combine like terms: 2x + -2x = 0
-9 + X2 + -2x + 8y + 4y2 = 0 + -8y + 8y + -4y2 + 4y2
-9 + X2 + -2x + 8y + 4y2 = -8y + 8y + -4y2 + 4y2

Combine like terms: -8y + 8y = 0
-9 + X2 + -2x + 8y + 4y2 = 0 + -4y2 + 4y2
-9 + X2 + -2x + 8y + 4y2 = -4y2 + 4y2

Combine like terms: -4y2 + 4y2 = 0
-9 + X2 + -2x + 8y + 4y2 = 0

The solution to this equation could not be determined.

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