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Simplifying 2x2 + xy + 2y2 = 0 Reorder the terms: xy + 2x2 + 2y2 = 0 Solving xy + 2x2 + 2y2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 0.5xy + x2 + y2 = 0 Move the constant term to the right: Add '-1y2' to each side of the equation. 0.5xy + x2 + y2 + -1y2 = 0 + -1y2 Combine like terms: y2 + -1y2 = 0 0.5xy + x2 + 0 = 0 + -1y2 0.5xy + x2 = 0 + -1y2 Remove the zero: 0.5xy + x2 = -1y2 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. 0.5xy + x2 + 0.25y2 = -1y2 + 0.25y2 Combine like terms: -1y2 + 0.25y2 = -0.75y2 0.5xy + x2 + 0.25y2 = -0.75y2 Factor a perfect square on the left side: (x + 0.5y)(x + 0.5y) = -0.75y2 Can't calculate square root of the right side. The solution to this equation could not be determined.
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