(x*x)+xy+2(y*y)=0

Solution for (x*x)+xy+2(y*y)=0 equation:

Simplifying
(x * x) + xy + 2(y * y) = 0

Multiply x * x
(x2) + xy + 2(y * y) = 0
x2 + xy + 2(y * y) = 0

Multiply y * y
x2 + xy + 2(y2) = 0

Reorder the terms:
xy + x2 + 2y2 = 0

Solving
xy + x2 + 2y2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-2y2' to each side of the equation.
xy + x2 + 2y2 + -2y2 = 0 + -2y2

Combine like terms: 2y2 + -2y2 = 0
xy + x2 + 0 = 0 + -2y2
xy + x2 = 0 + -2y2
Remove the zero:
xy + x2 = -2y2

The x term is xy.  Take half its coefficient (0.5y).
Square it (0.25y2) and add it to both sides.

Add '0.25y2' to each side of the equation.
xy + x2 + 0.25y2 = -2y2 + 0.25y2

Combine like terms: -2y2 + 0.25y2 = -1.75y2
xy + x2 + 0.25y2 = -1.75y2

Factor a perfect square on the left side:
(x + 0.5y)(x + 0.5y) = -1.75y2

Can't calculate square root of the right side.

The solution to this equation could not be determined.