3X^2+-4xy+3y^2=50

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Solution for 3X^2+-4xy+3y^2=50 equation: 


Simplifying
3X2 + -4xy + 3y2 = 50

Solving
3X2 + -4xy + 3y2 = 50

Solving for variable 'X'.

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

Add '4xy' to each side of the equation.
3X2 + -4xy + 4xy + 3y2 = 50 + 4xy

Combine like terms: -4xy + 4xy = 0
3X2 + 0 + 3y2 = 50 + 4xy
3X2 + 3y2 = 50 + 4xy

Add '-3y2' to each side of the equation.
3X2 + 3y2 + -3y2 = 50 + 4xy + -3y2

Combine like terms: 3y2 + -3y2 = 0
3X2 + 0 = 50 + 4xy + -3y2
3X2 = 50 + 4xy + -3y2

Divide each side by '3'.
X2 = 16.66666667 + 1.333333333xy + -1y2

Simplifying
X2 = 16.66666667 + 1.333333333xy + -1y2

Reorder the terms:
-16.66666667 + X2 + -1.333333333xy + y2 = 16.66666667 + 1.333333333xy + -1y2 + -16.66666667 + -1.333333333xy + y2

Reorder the terms:
-16.66666667 + X2 + -1.333333333xy + y2 = 16.66666667 + -16.66666667 + 1.333333333xy + -1.333333333xy + -1y2 + y2

Combine like terms: 16.66666667 + -16.66666667 = 0.00000000
-16.66666667 + X2 + -1.333333333xy + y2 = 0.00000000 + 1.333333333xy + -1.333333333xy + -1y2 + y2
-16.66666667 + X2 + -1.333333333xy + y2 = 1.333333333xy + -1.333333333xy + -1y2 + y2

Combine like terms: 1.333333333xy + -1.333333333xy = 0.000000000
-16.66666667 + X2 + -1.333333333xy + y2 = 0.000000000 + -1y2 + y2
-16.66666667 + X2 + -1.333333333xy + y2 = -1y2 + y2

Combine like terms: -1y2 + y2 = 0
-16.66666667 + X2 + -1.333333333xy + y2 = 0

The solution to this equation could not be determined.

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