8X^2-2xy-3y^2=0

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Solution for 8X^2-2xy-3y^2=0 equation: 


Simplifying
8X2 + -2xy + -3y2 = 0

Solving
8X2 + -2xy + -3y2 = 0

Solving for variable 'X'.

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

Add '2xy' to each side of the equation.
8X2 + -2xy + 2xy + -3y2 = 0 + 2xy

Combine like terms: -2xy + 2xy = 0
8X2 + 0 + -3y2 = 0 + 2xy
8X2 + -3y2 = 0 + 2xy
Remove the zero:
8X2 + -3y2 = 2xy

Add '3y2' to each side of the equation.
8X2 + -3y2 + 3y2 = 2xy + 3y2

Combine like terms: -3y2 + 3y2 = 0
8X2 + 0 = 2xy + 3y2
8X2 = 2xy + 3y2

Divide each side by '8'.
X2 = 0.25xy + 0.375y2

Simplifying
X2 = 0.25xy + 0.375y2

Reorder the terms:
X2 + -0.25xy + -0.375y2 = 0.25xy + -0.25xy + 0.375y2 + -0.375y2

Combine like terms: 0.25xy + -0.25xy = 0.00
X2 + -0.25xy + -0.375y2 = 0.00 + 0.375y2 + -0.375y2
X2 + -0.25xy + -0.375y2 = 0.375y2 + -0.375y2

Combine like terms: 0.375y2 + -0.375y2 = 0.000
X2 + -0.25xy + -0.375y2 = 0.000

The solution to this equation could not be determined.

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