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

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


Simplifying
X2 + -4xy + 3y2 = 50

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

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

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

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

Simplifying
X2 = 50 + 4xy + -3y2

Reorder the terms:
-50 + X2 + -4xy + 3y2 = 50 + 4xy + -3y2 + -50 + -4xy + 3y2

Reorder the terms:
-50 + X2 + -4xy + 3y2 = 50 + -50 + 4xy + -4xy + -3y2 + 3y2

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

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

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

The solution to this equation could not be determined.

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