X^2-10x+y^2+8y=5

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Solution for X^2-10x+y^2+8y=5 equation: 


Simplifying
X2 + -10x + y2 + 8y = 5

Reorder the terms:
X2 + -10x + 8y + y2 = 5

Solving
X2 + -10x + 8y + y2 = 5

Solving for variable 'X'.

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

Add '10x' to each side of the equation.
X2 + -10x + 8y + 10x + y2 = 5 + 10x

Reorder the terms:
X2 + -10x + 10x + 8y + y2 = 5 + 10x

Combine like terms: -10x + 10x = 0
X2 + 0 + 8y + y2 = 5 + 10x
X2 + 8y + y2 = 5 + 10x

Add '-8y' to each side of the equation.
X2 + 8y + -8y + y2 = 5 + 10x + -8y

Combine like terms: 8y + -8y = 0
X2 + 0 + y2 = 5 + 10x + -8y
X2 + y2 = 5 + 10x + -8y

Add '-1y2' to each side of the equation.
X2 + y2 + -1y2 = 5 + 10x + -8y + -1y2

Combine like terms: y2 + -1y2 = 0
X2 + 0 = 5 + 10x + -8y + -1y2
X2 = 5 + 10x + -8y + -1y2

Simplifying
X2 = 5 + 10x + -8y + -1y2

Reorder the terms:
-5 + X2 + -10x + 8y + y2 = 5 + 10x + -8y + -1y2 + -5 + -10x + 8y + y2

Reorder the terms:
-5 + X2 + -10x + 8y + y2 = 5 + -5 + 10x + -10x + -8y + 8y + -1y2 + y2

Combine like terms: 5 + -5 = 0
-5 + X2 + -10x + 8y + y2 = 0 + 10x + -10x + -8y + 8y + -1y2 + y2
-5 + X2 + -10x + 8y + y2 = 10x + -10x + -8y + 8y + -1y2 + y2

Combine like terms: 10x + -10x = 0
-5 + X2 + -10x + 8y + y2 = 0 + -8y + 8y + -1y2 + y2
-5 + X2 + -10x + 8y + y2 = -8y + 8y + -1y2 + y2

Combine like terms: -8y + 8y = 0
-5 + X2 + -10x + 8y + y2 = 0 + -1y2 + y2
-5 + X2 + -10x + 8y + y2 = -1y2 + y2

Combine like terms: -1y2 + y2 = 0
-5 + X2 + -10x + 8y + y2 = 0

The solution to this equation could not be determined.

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