X^2+4x+y^2-8y=-16

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Solution for X^2+4x+y^2-8y=-16 equation: 


Simplifying
X2 + 4x + y2 + -8y = -16

Reorder the terms:
X2 + 4x + -8y + y2 = -16

Solving
X2 + 4x + -8y + y2 = -16

Solving for variable 'X'.

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

Add '-4x' to each side of the equation.
X2 + 4x + -8y + -4x + y2 = -16 + -4x

Reorder the terms:
X2 + 4x + -4x + -8y + y2 = -16 + -4x

Combine like terms: 4x + -4x = 0
X2 + 0 + -8y + y2 = -16 + -4x
X2 + -8y + y2 = -16 + -4x

Add '8y' to each side of the equation.
X2 + -8y + 8y + y2 = -16 + -4x + 8y

Combine like terms: -8y + 8y = 0
X2 + 0 + y2 = -16 + -4x + 8y
X2 + y2 = -16 + -4x + 8y

Add '-1y2' to each side of the equation.
X2 + y2 + -1y2 = -16 + -4x + 8y + -1y2

Combine like terms: y2 + -1y2 = 0
X2 + 0 = -16 + -4x + 8y + -1y2
X2 = -16 + -4x + 8y + -1y2

Simplifying
X2 = -16 + -4x + 8y + -1y2

Reorder the terms:
16 + X2 + 4x + -8y + y2 = -16 + -4x + 8y + -1y2 + 16 + 4x + -8y + y2

Reorder the terms:
16 + X2 + 4x + -8y + y2 = -16 + 16 + -4x + 4x + 8y + -8y + -1y2 + y2

Combine like terms: -16 + 16 = 0
16 + X2 + 4x + -8y + y2 = 0 + -4x + 4x + 8y + -8y + -1y2 + y2
16 + X2 + 4x + -8y + y2 = -4x + 4x + 8y + -8y + -1y2 + y2

Combine like terms: -4x + 4x = 0
16 + X2 + 4x + -8y + y2 = 0 + 8y + -8y + -1y2 + y2
16 + X2 + 4x + -8y + y2 = 8y + -8y + -1y2 + y2

Combine like terms: 8y + -8y = 0
16 + X2 + 4x + -8y + y2 = 0 + -1y2 + y2
16 + X2 + 4x + -8y + y2 = -1y2 + y2

Combine like terms: -1y2 + y2 = 0
16 + X2 + 4x + -8y + y2 = 0

The solution to this equation could not be determined.

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