X^2-4y^2+2x+8y=7

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Solution for X^2-4y^2+2x+8y=7 equation: 


Simplifying
X2 + -4y2 + 2x + 8y = 7

Reorder the terms:
X2 + 2x + 8y + -4y2 = 7

Solving
X2 + 2x + 8y + -4y2 = 7

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 = 7 + -2x

Reorder the terms:
X2 + 2x + -2x + 8y + -4y2 = 7 + -2x

Combine like terms: 2x + -2x = 0
X2 + 0 + 8y + -4y2 = 7 + -2x
X2 + 8y + -4y2 = 7 + -2x

Add '-8y' to each side of the equation.
X2 + 8y + -8y + -4y2 = 7 + -2x + -8y

Combine like terms: 8y + -8y = 0
X2 + 0 + -4y2 = 7 + -2x + -8y
X2 + -4y2 = 7 + -2x + -8y

Add '4y2' to each side of the equation.
X2 + -4y2 + 4y2 = 7 + -2x + -8y + 4y2

Combine like terms: -4y2 + 4y2 = 0
X2 + 0 = 7 + -2x + -8y + 4y2
X2 = 7 + -2x + -8y + 4y2

Simplifying
X2 = 7 + -2x + -8y + 4y2

Reorder the terms:
-7 + X2 + 2x + 8y + -4y2 = 7 + -2x + -8y + 4y2 + -7 + 2x + 8y + -4y2

Reorder the terms:
-7 + X2 + 2x + 8y + -4y2 = 7 + -7 + -2x + 2x + -8y + 8y + 4y2 + -4y2

Combine like terms: 7 + -7 = 0
-7 + X2 + 2x + 8y + -4y2 = 0 + -2x + 2x + -8y + 8y + 4y2 + -4y2
-7 + X2 + 2x + 8y + -4y2 = -2x + 2x + -8y + 8y + 4y2 + -4y2

Combine like terms: -2x + 2x = 0
-7 + X2 + 2x + 8y + -4y2 = 0 + -8y + 8y + 4y2 + -4y2
-7 + X2 + 2x + 8y + -4y2 = -8y + 8y + 4y2 + -4y2

Combine like terms: -8y + 8y = 0
-7 + X2 + 2x + 8y + -4y2 = 0 + 4y2 + -4y2
-7 + X2 + 2x + 8y + -4y2 = 4y2 + -4y2

Combine like terms: 4y2 + -4y2 = 0
-7 + X2 + 2x + 8y + -4y2 = 0

The solution to this equation could not be determined.

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