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Simplifying 7X2 + 8xy + y2 = 0 Solving 7X2 + 8xy + y2 = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-8xy' to each side of the equation. 7X2 + 8xy + -8xy + y2 = 0 + -8xy Combine like terms: 8xy + -8xy = 0 7X2 + 0 + y2 = 0 + -8xy 7X2 + y2 = 0 + -8xy Remove the zero: 7X2 + y2 = -8xy Add '-1y2' to each side of the equation. 7X2 + y2 + -1y2 = -8xy + -1y2 Combine like terms: y2 + -1y2 = 0 7X2 + 0 = -8xy + -1y2 7X2 = -8xy + -1y2 Divide each side by '7'. X2 = -1.142857143xy + -0.1428571429y2 Simplifying X2 = -1.142857143xy + -0.1428571429y2 Reorder the terms: X2 + 1.142857143xy + 0.1428571429y2 = -1.142857143xy + 1.142857143xy + -0.1428571429y2 + 0.1428571429y2 Combine like terms: -1.142857143xy + 1.142857143xy = 0.000000000 X2 + 1.142857143xy + 0.1428571429y2 = 0.000000000 + -0.1428571429y2 + 0.1428571429y2 X2 + 1.142857143xy + 0.1428571429y2 = -0.1428571429y2 + 0.1428571429y2 Combine like terms: -0.1428571429y2 + 0.1428571429y2 = 0.0000000000 X2 + 1.142857143xy + 0.1428571429y2 = 0.0000000000 The solution to this equation could not be determined.
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