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Simplifying X2 + 5xy + y2 = 8 Solving X2 + 5xy + y2 = 8 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-5xy' to each side of the equation. X2 + 5xy + -5xy + y2 = 8 + -5xy Combine like terms: 5xy + -5xy = 0 X2 + 0 + y2 = 8 + -5xy X2 + y2 = 8 + -5xy Add '-1y2' to each side of the equation. X2 + y2 + -1y2 = 8 + -5xy + -1y2 Combine like terms: y2 + -1y2 = 0 X2 + 0 = 8 + -5xy + -1y2 X2 = 8 + -5xy + -1y2 Simplifying X2 = 8 + -5xy + -1y2 Reorder the terms: -8 + X2 + 5xy + y2 = 8 + -5xy + -1y2 + -8 + 5xy + y2 Reorder the terms: -8 + X2 + 5xy + y2 = 8 + -8 + -5xy + 5xy + -1y2 + y2 Combine like terms: 8 + -8 = 0 -8 + X2 + 5xy + y2 = 0 + -5xy + 5xy + -1y2 + y2 -8 + X2 + 5xy + y2 = -5xy + 5xy + -1y2 + y2 Combine like terms: -5xy + 5xy = 0 -8 + X2 + 5xy + y2 = 0 + -1y2 + y2 -8 + X2 + 5xy + y2 = -1y2 + y2 Combine like terms: -1y2 + y2 = 0 -8 + X2 + 5xy + y2 = 0 The solution to this equation could not be determined.
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