X^2-y^2-8x+12y-7=4

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Solution for X^2-y^2-8x+12y-7=4 equation: 


Simplifying
X2 + -1y2 + -8x + 12y + -7 = 4

Reorder the terms:
-7 + X2 + -8x + 12y + -1y2 = 4

Solving
-7 + X2 + -8x + 12y + -1y2 = 4

Solving for variable 'X'.

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

Add '7' to each side of the equation.
-7 + X2 + -8x + 12y + 7 + -1y2 = 4 + 7

Reorder the terms:
-7 + 7 + X2 + -8x + 12y + -1y2 = 4 + 7

Combine like terms: -7 + 7 = 0
0 + X2 + -8x + 12y + -1y2 = 4 + 7
X2 + -8x + 12y + -1y2 = 4 + 7

Combine like terms: 4 + 7 = 11
X2 + -8x + 12y + -1y2 = 11

Add '8x' to each side of the equation.
X2 + -8x + 12y + 8x + -1y2 = 11 + 8x

Reorder the terms:
X2 + -8x + 8x + 12y + -1y2 = 11 + 8x

Combine like terms: -8x + 8x = 0
X2 + 0 + 12y + -1y2 = 11 + 8x
X2 + 12y + -1y2 = 11 + 8x

Add '-12y' to each side of the equation.
X2 + 12y + -12y + -1y2 = 11 + 8x + -12y

Combine like terms: 12y + -12y = 0
X2 + 0 + -1y2 = 11 + 8x + -12y
X2 + -1y2 = 11 + 8x + -12y

Add 'y2' to each side of the equation.
X2 + -1y2 + y2 = 11 + 8x + -12y + y2

Combine like terms: -1y2 + y2 = 0
X2 + 0 = 11 + 8x + -12y + y2
X2 = 11 + 8x + -12y + y2

Simplifying
X2 = 11 + 8x + -12y + y2

Reorder the terms:
-11 + X2 + -8x + 12y + -1y2 = 11 + 8x + -12y + y2 + -11 + -8x + 12y + -1y2

Reorder the terms:
-11 + X2 + -8x + 12y + -1y2 = 11 + -11 + 8x + -8x + -12y + 12y + y2 + -1y2

Combine like terms: 11 + -11 = 0
-11 + X2 + -8x + 12y + -1y2 = 0 + 8x + -8x + -12y + 12y + y2 + -1y2
-11 + X2 + -8x + 12y + -1y2 = 8x + -8x + -12y + 12y + y2 + -1y2

Combine like terms: 8x + -8x = 0
-11 + X2 + -8x + 12y + -1y2 = 0 + -12y + 12y + y2 + -1y2
-11 + X2 + -8x + 12y + -1y2 = -12y + 12y + y2 + -1y2

Combine like terms: -12y + 12y = 0
-11 + X2 + -8x + 12y + -1y2 = 0 + y2 + -1y2
-11 + X2 + -8x + 12y + -1y2 = y2 + -1y2

Combine like terms: y2 + -1y2 = 0
-11 + X2 + -8x + 12y + -1y2 = 0

The solution to this equation could not be determined.

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