X^2+6xy+5y^2-4y-8=0

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Solution for X^2+6xy+5y^2-4y-8=0 equation: 


Simplifying
X2 + 6xy + 5y2 + -4y + -8 = 0

Reorder the terms:
-8 + X2 + 6xy + -4y + 5y2 = 0

Solving
-8 + X2 + 6xy + -4y + 5y2 = 0

Solving for variable 'X'.

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

Add '8' to each side of the equation.
-8 + X2 + 6xy + -4y + 8 + 5y2 = 0 + 8

Reorder the terms:
-8 + 8 + X2 + 6xy + -4y + 5y2 = 0 + 8

Combine like terms: -8 + 8 = 0
0 + X2 + 6xy + -4y + 5y2 = 0 + 8
X2 + 6xy + -4y + 5y2 = 0 + 8

Combine like terms: 0 + 8 = 8
X2 + 6xy + -4y + 5y2 = 8

Add '-6xy' to each side of the equation.
X2 + 6xy + -4y + -6xy + 5y2 = 8 + -6xy

Reorder the terms:
X2 + 6xy + -6xy + -4y + 5y2 = 8 + -6xy

Combine like terms: 6xy + -6xy = 0
X2 + 0 + -4y + 5y2 = 8 + -6xy
X2 + -4y + 5y2 = 8 + -6xy

Add '4y' to each side of the equation.
X2 + -4y + 4y + 5y2 = 8 + -6xy + 4y

Combine like terms: -4y + 4y = 0
X2 + 0 + 5y2 = 8 + -6xy + 4y
X2 + 5y2 = 8 + -6xy + 4y

Add '-5y2' to each side of the equation.
X2 + 5y2 + -5y2 = 8 + -6xy + 4y + -5y2

Combine like terms: 5y2 + -5y2 = 0
X2 + 0 = 8 + -6xy + 4y + -5y2
X2 = 8 + -6xy + 4y + -5y2

Simplifying
X2 = 8 + -6xy + 4y + -5y2

Reorder the terms:
-8 + X2 + 6xy + -4y + 5y2 = 8 + -6xy + 4y + -5y2 + -8 + 6xy + -4y + 5y2

Reorder the terms:
-8 + X2 + 6xy + -4y + 5y2 = 8 + -8 + -6xy + 6xy + 4y + -4y + -5y2 + 5y2

Combine like terms: 8 + -8 = 0
-8 + X2 + 6xy + -4y + 5y2 = 0 + -6xy + 6xy + 4y + -4y + -5y2 + 5y2
-8 + X2 + 6xy + -4y + 5y2 = -6xy + 6xy + 4y + -4y + -5y2 + 5y2

Combine like terms: -6xy + 6xy = 0
-8 + X2 + 6xy + -4y + 5y2 = 0 + 4y + -4y + -5y2 + 5y2
-8 + X2 + 6xy + -4y + 5y2 = 4y + -4y + -5y2 + 5y2

Combine like terms: 4y + -4y = 0
-8 + X2 + 6xy + -4y + 5y2 = 0 + -5y2 + 5y2
-8 + X2 + 6xy + -4y + 5y2 = -5y2 + 5y2

Combine like terms: -5y2 + 5y2 = 0
-8 + X2 + 6xy + -4y + 5y2 = 0

The solution to this equation could not be determined.

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