X^2+8x+y^2-10y=16

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Solution for X^2+8x+y^2-10y=16 equation: 


Simplifying
X2 + 8x + y2 + -10y = 16

Reorder the terms:
X2 + 8x + -10y + y2 = 16

Solving
X2 + 8x + -10y + y2 = 16

Solving for variable 'X'.

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

Add '-8x' to each side of the equation.
X2 + 8x + -10y + -8x + y2 = 16 + -8x

Reorder the terms:
X2 + 8x + -8x + -10y + y2 = 16 + -8x

Combine like terms: 8x + -8x = 0
X2 + 0 + -10y + y2 = 16 + -8x
X2 + -10y + y2 = 16 + -8x

Add '10y' to each side of the equation.
X2 + -10y + 10y + y2 = 16 + -8x + 10y

Combine like terms: -10y + 10y = 0
X2 + 0 + y2 = 16 + -8x + 10y
X2 + y2 = 16 + -8x + 10y

Add '-1y2' to each side of the equation.
X2 + y2 + -1y2 = 16 + -8x + 10y + -1y2

Combine like terms: y2 + -1y2 = 0
X2 + 0 = 16 + -8x + 10y + -1y2
X2 = 16 + -8x + 10y + -1y2

Simplifying
X2 = 16 + -8x + 10y + -1y2

Reorder the terms:
-16 + X2 + 8x + -10y + y2 = 16 + -8x + 10y + -1y2 + -16 + 8x + -10y + y2

Reorder the terms:
-16 + X2 + 8x + -10y + y2 = 16 + -16 + -8x + 8x + 10y + -10y + -1y2 + y2

Combine like terms: 16 + -16 = 0
-16 + X2 + 8x + -10y + y2 = 0 + -8x + 8x + 10y + -10y + -1y2 + y2
-16 + X2 + 8x + -10y + y2 = -8x + 8x + 10y + -10y + -1y2 + y2

Combine like terms: -8x + 8x = 0
-16 + X2 + 8x + -10y + y2 = 0 + 10y + -10y + -1y2 + y2
-16 + X2 + 8x + -10y + y2 = 10y + -10y + -1y2 + y2

Combine like terms: 10y + -10y = 0
-16 + X2 + 8x + -10y + y2 = 0 + -1y2 + y2
-16 + X2 + 8x + -10y + y2 = -1y2 + y2

Combine like terms: -1y2 + y2 = 0
-16 + X2 + 8x + -10y + y2 = 0

The solution to this equation could not be determined.

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