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Simplifying 4x2 + xy + 9y2 = 0 Reorder the terms: xy + 4x2 + 9y2 = 0 Solving xy + 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'. 0.25xy + x2 + 2.25y2 = 0 Move the constant term to the right: Add '-2.25y2' to each side of the equation. 0.25xy + x2 + 2.25y2 + -2.25y2 = 0 + -2.25y2 Combine like terms: 2.25y2 + -2.25y2 = 0.00 0.25xy + x2 + 0.00 = 0 + -2.25y2 0.25xy + x2 = 0 + -2.25y2 Remove the zero: 0.25xy + 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. 0.25xy + x2 + 0.25y2 = -2.25y2 + 0.25y2 Combine like terms: -2.25y2 + 0.25y2 = -2y2 0.25xy + x2 + 0.25y2 = -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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