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Simplifying x2 + xy + 4y2 = 0 Reorder the terms: xy + x2 + 4y2 = 0 Solving xy + x2 + 4y2 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '-4y2' to each side of the equation. xy + x2 + 4y2 + -4y2 = 0 + -4y2 Combine like terms: 4y2 + -4y2 = 0 xy + x2 + 0 = 0 + -4y2 xy + x2 = 0 + -4y2 Remove the zero: xy + x2 = -4y2 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 = -4y2 + 0.25y2 Combine like terms: -4y2 + 0.25y2 = -3.75y2 xy + x2 + 0.25y2 = -3.75y2 Factor a perfect square on the left side: (x + 0.5y)(x + 0.5y) = -3.75y2 Can't calculate square root of the right side. The solution to this equation could not be determined.
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