X^2-8x+16+y^2+2y+4=25

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Solution for X^2-8x+16+y^2+2y+4=25 equation: 


Simplifying
X2 + -8x + 16 + y2 + 2y + 4 = 25

Reorder the terms:
16 + 4 + X2 + -8x + 2y + y2 = 25

Combine like terms: 16 + 4 = 20
20 + X2 + -8x + 2y + y2 = 25

Solving
20 + X2 + -8x + 2y + y2 = 25

Solving for variable 'X'.

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

Add '-20' to each side of the equation.
20 + X2 + -8x + 2y + -20 + y2 = 25 + -20

Reorder the terms:
20 + -20 + X2 + -8x + 2y + y2 = 25 + -20

Combine like terms: 20 + -20 = 0
0 + X2 + -8x + 2y + y2 = 25 + -20
X2 + -8x + 2y + y2 = 25 + -20

Combine like terms: 25 + -20 = 5
X2 + -8x + 2y + y2 = 5

Add '8x' to each side of the equation.
X2 + -8x + 2y + 8x + y2 = 5 + 8x

Reorder the terms:
X2 + -8x + 8x + 2y + y2 = 5 + 8x

Combine like terms: -8x + 8x = 0
X2 + 0 + 2y + y2 = 5 + 8x
X2 + 2y + y2 = 5 + 8x

Add '-2y' to each side of the equation.
X2 + 2y + -2y + y2 = 5 + 8x + -2y

Combine like terms: 2y + -2y = 0
X2 + 0 + y2 = 5 + 8x + -2y
X2 + y2 = 5 + 8x + -2y

Add '-1y2' to each side of the equation.
X2 + y2 + -1y2 = 5 + 8x + -2y + -1y2

Combine like terms: y2 + -1y2 = 0
X2 + 0 = 5 + 8x + -2y + -1y2
X2 = 5 + 8x + -2y + -1y2

Simplifying
X2 = 5 + 8x + -2y + -1y2

Reorder the terms:
-5 + X2 + -8x + 2y + y2 = 5 + 8x + -2y + -1y2 + -5 + -8x + 2y + y2

Reorder the terms:
-5 + X2 + -8x + 2y + y2 = 5 + -5 + 8x + -8x + -2y + 2y + -1y2 + y2

Combine like terms: 5 + -5 = 0
-5 + X2 + -8x + 2y + y2 = 0 + 8x + -8x + -2y + 2y + -1y2 + y2
-5 + X2 + -8x + 2y + y2 = 8x + -8x + -2y + 2y + -1y2 + y2

Combine like terms: 8x + -8x = 0
-5 + X2 + -8x + 2y + y2 = 0 + -2y + 2y + -1y2 + y2
-5 + X2 + -8x + 2y + y2 = -2y + 2y + -1y2 + y2

Combine like terms: -2y + 2y = 0
-5 + X2 + -8x + 2y + y2 = 0 + -1y2 + y2
-5 + X2 + -8x + 2y + y2 = -1y2 + y2

Combine like terms: -1y2 + y2 = 0
-5 + X2 + -8x + 2y + y2 = 0

The solution to this equation could not be determined.

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