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Simplifying x + 48yx2 + -96 = 20 Reorder the terms: -96 + x + 48x2y = 20 Solving -96 + x + 48x2y = 20 Solving for variable 'x'. Reorder the terms: -96 + -20 + x + 48x2y = 20 + -20 Combine like terms: -96 + -20 = -116 -116 + x + 48x2y = 20 + -20 Combine like terms: 20 + -20 = 0 -116 + x + 48x2y = 0 Begin completing the square. Divide all terms by 48y the coefficient of the squared term: Divide each side by '48y'. -2.416666667y-1 + 0.02083333333xy-1 + x2 = 0y-1 Move the constant term to the right: Add '2.416666667' to each side of the equation. -2.416666667y-1 + 0.02083333333xy-1 + 2.416666667 + x2 = 2.416666667 + 0y-1 Reorder the terms: 2.416666667 + 0.02083333333xy-1 + x2 + -2.416666667y-1 = 2.416666667 + 0y-1 Combine like terms: 2.416666667 + 0 = 2.416666667 2.416666667 + 0.02083333333xy-1 + x2 + -2.416666667y-1 = 2.416666667 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. 2.416666667 + 0.02083333333xy-1 + x2 + 0.25y-2 + -2.416666667y-1 = 2.416666667 + 0.25y-2 Factor a perfect square on the left side: (x + 0.5y-1)(x + 0.5y-1) = 2.416666667 + 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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