4x^2+4xy+9y^2=0

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Solution for 4x^2+4xy+9y^2=0 equation:


Simplifying
4x2 + 4xy + 9y2 = 0

Reorder the terms:
4xy + 4x2 + 9y2 = 0

Solving
4xy + 4x2 + 9y2 = 0

Solving for variable 'x'.

Begin completing the square.  Divide all terms by
4 the coefficient of the squared term: 

Divide each side by '4'.
xy + x2 + 2.25y2 = 0

Move the constant term to the right:

Add '-2.25y2' to each side of the equation.
xy + x2 + 2.25y2 + -2.25y2 = 0 + -2.25y2

Combine like terms: 2.25y2 + -2.25y2 = 0.00
xy + x2 + 0.00 = 0 + -2.25y2
xy + x2 = 0 + -2.25y2
Remove the zero:
xy + x2 = -2.25y2

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.
y2 + x2 + 0.25y2 = -2.25y2 + 0.25y2

Reorder the terms:
x2 + y2 + 0.25y2 = -2.25y2 + 0.25y2

Combine like terms: y2 + 0.25y2 = 1.25y2
x2 + 1.25y2 = -2.25y2 + 0.25y2

Combine like terms: -2.25y2 + 0.25y2 = -2y2
x2 + 1.25y2 = -2y2

Factor a perfect square on the left side:
(x + 0.5y)(x + 0.5y) = -2y2

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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