X^2-y^2+8x-14y-34=0

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Solution for X^2-y^2+8x-14y-34=0 equation: 


Simplifying
X2 + -1y2 + 8x + -14y + -34 = 0

Reorder the terms:
-34 + X2 + 8x + -14y + -1y2 = 0

Solving
-34 + X2 + 8x + -14y + -1y2 = 0

Solving for variable 'X'.

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

Add '34' to each side of the equation.
-34 + X2 + 8x + -14y + 34 + -1y2 = 0 + 34

Reorder the terms:
-34 + 34 + X2 + 8x + -14y + -1y2 = 0 + 34

Combine like terms: -34 + 34 = 0
0 + X2 + 8x + -14y + -1y2 = 0 + 34
X2 + 8x + -14y + -1y2 = 0 + 34

Combine like terms: 0 + 34 = 34
X2 + 8x + -14y + -1y2 = 34

Add '-8x' to each side of the equation.
X2 + 8x + -14y + -8x + -1y2 = 34 + -8x

Reorder the terms:
X2 + 8x + -8x + -14y + -1y2 = 34 + -8x

Combine like terms: 8x + -8x = 0
X2 + 0 + -14y + -1y2 = 34 + -8x
X2 + -14y + -1y2 = 34 + -8x

Add '14y' to each side of the equation.
X2 + -14y + 14y + -1y2 = 34 + -8x + 14y

Combine like terms: -14y + 14y = 0
X2 + 0 + -1y2 = 34 + -8x + 14y
X2 + -1y2 = 34 + -8x + 14y

Add 'y2' to each side of the equation.
X2 + -1y2 + y2 = 34 + -8x + 14y + y2

Combine like terms: -1y2 + y2 = 0
X2 + 0 = 34 + -8x + 14y + y2
X2 = 34 + -8x + 14y + y2

Simplifying
X2 = 34 + -8x + 14y + y2

Reorder the terms:
-34 + X2 + 8x + -14y + -1y2 = 34 + -8x + 14y + y2 + -34 + 8x + -14y + -1y2

Reorder the terms:
-34 + X2 + 8x + -14y + -1y2 = 34 + -34 + -8x + 8x + 14y + -14y + y2 + -1y2

Combine like terms: 34 + -34 = 0
-34 + X2 + 8x + -14y + -1y2 = 0 + -8x + 8x + 14y + -14y + y2 + -1y2
-34 + X2 + 8x + -14y + -1y2 = -8x + 8x + 14y + -14y + y2 + -1y2

Combine like terms: -8x + 8x = 0
-34 + X2 + 8x + -14y + -1y2 = 0 + 14y + -14y + y2 + -1y2
-34 + X2 + 8x + -14y + -1y2 = 14y + -14y + y2 + -1y2

Combine like terms: 14y + -14y = 0
-34 + X2 + 8x + -14y + -1y2 = 0 + y2 + -1y2
-34 + X2 + 8x + -14y + -1y2 = y2 + -1y2

Combine like terms: y2 + -1y2 = 0
-34 + X2 + 8x + -14y + -1y2 = 0

The solution to this equation could not be determined.

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