X^2-3y^2+2x*y+4x-8*y-5=0

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Solution for X^2-3y^2+2x*y+4x-8*y-5=0 equation: 


Simplifying
X2 + -3y2 + 2x * y + 4x + -8y + -5 = 0

Multiply x * y
X2 + -3y2 + 2xy + 4x + -8y + -5 = 0

Reorder the terms:
-5 + X2 + 4x + 2xy + -8y + -3y2 = 0

Solving
-5 + X2 + 4x + 2xy + -8y + -3y2 = 0

Solving for variable 'X'.

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

Add '5' to each side of the equation.
-5 + X2 + 4x + 2xy + -8y + 5 + -3y2 = 0 + 5

Reorder the terms:
-5 + 5 + X2 + 4x + 2xy + -8y + -3y2 = 0 + 5

Combine like terms: -5 + 5 = 0
0 + X2 + 4x + 2xy + -8y + -3y2 = 0 + 5
X2 + 4x + 2xy + -8y + -3y2 = 0 + 5

Combine like terms: 0 + 5 = 5
X2 + 4x + 2xy + -8y + -3y2 = 5

Add '-4x' to each side of the equation.
X2 + 4x + 2xy + -8y + -4x + -3y2 = 5 + -4x

Reorder the terms:
X2 + 4x + -4x + 2xy + -8y + -3y2 = 5 + -4x

Combine like terms: 4x + -4x = 0
X2 + 0 + 2xy + -8y + -3y2 = 5 + -4x
X2 + 2xy + -8y + -3y2 = 5 + -4x

Add '-2xy' to each side of the equation.
X2 + 2xy + -8y + -2xy + -3y2 = 5 + -4x + -2xy

Reorder the terms:
X2 + 2xy + -2xy + -8y + -3y2 = 5 + -4x + -2xy

Combine like terms: 2xy + -2xy = 0
X2 + 0 + -8y + -3y2 = 5 + -4x + -2xy
X2 + -8y + -3y2 = 5 + -4x + -2xy

Add '8y' to each side of the equation.
X2 + -8y + 8y + -3y2 = 5 + -4x + -2xy + 8y

Combine like terms: -8y + 8y = 0
X2 + 0 + -3y2 = 5 + -4x + -2xy + 8y
X2 + -3y2 = 5 + -4x + -2xy + 8y

Add '3y2' to each side of the equation.
X2 + -3y2 + 3y2 = 5 + -4x + -2xy + 8y + 3y2

Combine like terms: -3y2 + 3y2 = 0
X2 + 0 = 5 + -4x + -2xy + 8y + 3y2
X2 = 5 + -4x + -2xy + 8y + 3y2

Simplifying
X2 = 5 + -4x + -2xy + 8y + 3y2

Reorder the terms:
-5 + X2 + 4x + 2xy + -8y + -3y2 = 5 + -4x + -2xy + 8y + 3y2 + -5 + 4x + 2xy + -8y + -3y2

Reorder the terms:
-5 + X2 + 4x + 2xy + -8y + -3y2 = 5 + -5 + -4x + 4x + -2xy + 2xy + 8y + -8y + 3y2 + -3y2

Combine like terms: 5 + -5 = 0
-5 + X2 + 4x + 2xy + -8y + -3y2 = 0 + -4x + 4x + -2xy + 2xy + 8y + -8y + 3y2 + -3y2
-5 + X2 + 4x + 2xy + -8y + -3y2 = -4x + 4x + -2xy + 2xy + 8y + -8y + 3y2 + -3y2

Combine like terms: -4x + 4x = 0
-5 + X2 + 4x + 2xy + -8y + -3y2 = 0 + -2xy + 2xy + 8y + -8y + 3y2 + -3y2
-5 + X2 + 4x + 2xy + -8y + -3y2 = -2xy + 2xy + 8y + -8y + 3y2 + -3y2

Combine like terms: -2xy + 2xy = 0
-5 + X2 + 4x + 2xy + -8y + -3y2 = 0 + 8y + -8y + 3y2 + -3y2
-5 + X2 + 4x + 2xy + -8y + -3y2 = 8y + -8y + 3y2 + -3y2

Combine like terms: 8y + -8y = 0
-5 + X2 + 4x + 2xy + -8y + -3y2 = 0 + 3y2 + -3y2
-5 + X2 + 4x + 2xy + -8y + -3y2 = 3y2 + -3y2

Combine like terms: 3y2 + -3y2 = 0
-5 + X2 + 4x + 2xy + -8y + -3y2 = 0

The solution to this equation could not be determined.

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