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

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


Simplifying
2X2 + -4xy + 3y2 = 0

Solving
2X2 + -4xy + 3y2 = 0

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.
2X2 + -4xy + 4xy + 3y2 = 0 + 4xy

Combine like terms: -4xy + 4xy = 0
2X2 + 0 + 3y2 = 0 + 4xy
2X2 + 3y2 = 0 + 4xy
Remove the zero:
2X2 + 3y2 = 4xy

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

Combine like terms: 3y2 + -3y2 = 0
2X2 + 0 = 4xy + -3y2
2X2 = 4xy + -3y2

Divide each side by '2'.
X2 = 2xy + -1.5y2

Simplifying
X2 = 2xy + -1.5y2

Reorder the terms:
X2 + -2xy + 1.5y2 = 2xy + -2xy + -1.5y2 + 1.5y2

Combine like terms: 2xy + -2xy = 0
X2 + -2xy + 1.5y2 = 0 + -1.5y2 + 1.5y2
X2 + -2xy + 1.5y2 = -1.5y2 + 1.5y2

Combine like terms: -1.5y2 + 1.5y2 = 0.0
X2 + -2xy + 1.5y2 = 0.0

The solution to this equation could not be determined.

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