3X^2+4xy+6y^2-7=0

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Solution for 3X^2+4xy+6y^2-7=0 equation: 


Simplifying
3X2 + 4xy + 6y2 + -7 = 0

Reorder the terms:
-7 + 3X2 + 4xy + 6y2 = 0

Solving
-7 + 3X2 + 4xy + 6y2 = 0

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 + 3X2 + 4xy + 7 + 6y2 = 0 + 7

Reorder the terms:
-7 + 7 + 3X2 + 4xy + 6y2 = 0 + 7

Combine like terms: -7 + 7 = 0
0 + 3X2 + 4xy + 6y2 = 0 + 7
3X2 + 4xy + 6y2 = 0 + 7

Combine like terms: 0 + 7 = 7
3X2 + 4xy + 6y2 = 7

Add '-4xy' to each side of the equation.
3X2 + 4xy + -4xy + 6y2 = 7 + -4xy

Combine like terms: 4xy + -4xy = 0
3X2 + 0 + 6y2 = 7 + -4xy
3X2 + 6y2 = 7 + -4xy

Add '-6y2' to each side of the equation.
3X2 + 6y2 + -6y2 = 7 + -4xy + -6y2

Combine like terms: 6y2 + -6y2 = 0
3X2 + 0 = 7 + -4xy + -6y2
3X2 = 7 + -4xy + -6y2

Divide each side by '3'.
X2 = 2.333333333 + -1.333333333xy + -2y2

Simplifying
X2 = 2.333333333 + -1.333333333xy + -2y2

Reorder the terms:
-2.333333333 + X2 + 1.333333333xy + 2y2 = 2.333333333 + -1.333333333xy + -2y2 + -2.333333333 + 1.333333333xy + 2y2

Reorder the terms:
-2.333333333 + X2 + 1.333333333xy + 2y2 = 2.333333333 + -2.333333333 + -1.333333333xy + 1.333333333xy + -2y2 + 2y2

Combine like terms: 2.333333333 + -2.333333333 = 0.000000000
-2.333333333 + X2 + 1.333333333xy + 2y2 = 0.000000000 + -1.333333333xy + 1.333333333xy + -2y2 + 2y2
-2.333333333 + X2 + 1.333333333xy + 2y2 = -1.333333333xy + 1.333333333xy + -2y2 + 2y2

Combine like terms: -1.333333333xy + 1.333333333xy = 0.000000000
-2.333333333 + X2 + 1.333333333xy + 2y2 = 0.000000000 + -2y2 + 2y2
-2.333333333 + X2 + 1.333333333xy + 2y2 = -2y2 + 2y2

Combine like terms: -2y2 + 2y2 = 0
-2.333333333 + X2 + 1.333333333xy + 2y2 = 0

The solution to this equation could not be determined.

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