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Simplifying 0 = x + x2y + -2 Reorder the terms: 0 = -2 + x + x2y Solving 0 = -2 + x + x2y Solving for variable 'x'. Combine like terms: 0 + 2 = 2 2 + -1x + -1x2y = -2 + x + x2y + 2 + -1x + -1x2y Reorder the terms: 2 + -1x + -1x2y = -2 + 2 + x + -1x + x2y + -1x2y Combine like terms: -2 + 2 = 0 2 + -1x + -1x2y = 0 + x + -1x + x2y + -1x2y 2 + -1x + -1x2y = x + -1x + x2y + -1x2y Combine like terms: x + -1x = 0 2 + -1x + -1x2y = 0 + x2y + -1x2y 2 + -1x + -1x2y = x2y + -1x2y Combine like terms: x2y + -1x2y = 0 2 + -1x + -1x2y = 0 Begin completing the square. Divide all terms by -1y the coefficient of the squared term: Divide each side by '-1y'. -2y-1 + xy-1 + x2 = 0y-1 Move the constant term to the right: Add '2' to each side of the equation. -2y-1 + xy-1 + 2 + x2 = 2 + 0y-1 Reorder the terms: 2 + xy-1 + x2 + -2y-1 = 2 + 0y-1 Combine like terms: 2 + 0 = 2 2 + xy-1 + x2 + -2y-1 = 2 The x term is xy-1. Take half its coefficient (0.5y-1). Square it (0.25y-2) and add it to both sides. Add '0.25y-2' to each side of the equation. 2 + y-2 + x2 + 0.25y-2 + -2y-1 = 2 + 0.25y-2 Reorder the terms: 2 + x2 + y-2 + 0.25y-2 + -2y-1 = 2 + 0.25y-2 Combine like terms: y-2 + 0.25y-2 = 1.25y-2 2 + x2 + 1.25y-2 + -2y-1 = 2 + 0.25y-2 Factor a perfect square on the left side: (x + 0.5y-1)(x + 0.5y-1) = 2 + 0.25y-2 Can't calculate square root of the right side. The solution to this equation could not be determined.
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