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Simplifying (0.25x + y)(0.25x + y)(0.25x + y)(0.25x + y) = 0 Multiply (0.25x + y) * (0.25x + y) (0.25x * (0.25x + y) + y(0.25x + y))(0.25x + y)(0.25x + y) = 0 ((0.25x * 0.25x + y * 0.25x) + y(0.25x + y))(0.25x + y)(0.25x + y) = 0 Reorder the terms: ((0.25xy + 0.0625x2) + y(0.25x + y))(0.25x + y)(0.25x + y) = 0 ((0.25xy + 0.0625x2) + y(0.25x + y))(0.25x + y)(0.25x + y) = 0 (0.25xy + 0.0625x2 + (0.25x * y + y * y))(0.25x + y)(0.25x + y) = 0 (0.25xy + 0.0625x2 + (0.25xy + y2))(0.25x + y)(0.25x + y) = 0 Reorder the terms: (0.25xy + 0.25xy + 0.0625x2 + y2)(0.25x + y)(0.25x + y) = 0 Combine like terms: 0.25xy + 0.25xy = 0.5xy (0.5xy + 0.0625x2 + y2)(0.25x + y)(0.25x + y) = 0 Multiply (0.5xy + 0.0625x2 + y2) * (0.25x + y) (0.5xy * (0.25x + y) + 0.0625x2 * (0.25x + y) + y2(0.25x + y))(0.25x + y) = 0 ((0.25x * 0.5xy + y * 0.5xy) + 0.0625x2 * (0.25x + y) + y2(0.25x + y))(0.25x + y) = 0 Reorder the terms: ((0.5xy2 + 0.125x2y) + 0.0625x2 * (0.25x + y) + y2(0.25x + y))(0.25x + y) = 0 ((0.5xy2 + 0.125x2y) + 0.0625x2 * (0.25x + y) + y2(0.25x + y))(0.25x + y) = 0 (0.5xy2 + 0.125x2y + (0.25x * 0.0625x2 + y * 0.0625x2) + y2(0.25x + y))(0.25x + y) = 0 Reorder the terms: (0.5xy2 + 0.125x2y + (0.0625x2y + 0.015625x3) + y2(0.25x + y))(0.25x + y) = 0 (0.5xy2 + 0.125x2y + (0.0625x2y + 0.015625x3) + y2(0.25x + y))(0.25x + y) = 0 (0.5xy2 + 0.125x2y + 0.0625x2y + 0.015625x3 + (0.25x * y2 + y * y2))(0.25x + y) = 0 (0.5xy2 + 0.125x2y + 0.0625x2y + 0.015625x3 + (0.25xy2 + y3))(0.25x + y) = 0 Reorder the terms: (0.5xy2 + 0.25xy2 + 0.125x2y + 0.0625x2y + 0.015625x3 + y3)(0.25x + y) = 0 Combine like terms: 0.5xy2 + 0.25xy2 = 0.75xy2 (0.75xy2 + 0.125x2y + 0.0625x2y + 0.015625x3 + y3)(0.25x + y) = 0 Combine like terms: 0.125x2y + 0.0625x2y = 0.1875x2y (0.75xy2 + 0.1875x2y + 0.015625x3 + y3)(0.25x + y) = 0 Multiply (0.75xy2 + 0.1875x2y + 0.015625x3 + y3) * (0.25x + y) (0.75xy2 * (0.25x + y) + 0.1875x2y * (0.25x + y) + 0.015625x3 * (0.25x + y) + y3(0.25x + y)) = 0 ((0.25x * 0.75xy2 + y * 0.75xy2) + 0.1875x2y * (0.25x + y) + 0.015625x3 * (0.25x + y) + y3(0.25x + y)) = 0 Reorder the terms: ((0.75xy3 + 0.1875x2y2) + 0.1875x2y * (0.25x + y) + 0.015625x3 * (0.25x + y) + y3(0.25x + y)) = 0 ((0.75xy3 + 0.1875x2y2) + 0.1875x2y * (0.25x + y) + 0.015625x3 * (0.25x + y) + y3(0.25x + y)) = 0 (0.75xy3 + 0.1875x2y2 + (0.25x * 0.1875x2y + y * 0.1875x2y) + 0.015625x3 * (0.25x + y) + y3(0.25x + y)) = 0 Reorder the terms: (0.75xy3 + 0.1875x2y2 + (0.1875x2y2 + 0.046875x3y) + 0.015625x3 * (0.25x + y) + y3(0.25x + y)) = 0 (0.75xy3 + 0.1875x2y2 + (0.1875x2y2 + 0.046875x3y) + 0.015625x3 * (0.25x + y) + y3(0.25x + y)) = 0 (0.75xy3 + 0.1875x2y2 + 0.1875x2y2 + 0.046875x3y + (0.25x * 0.015625x3 + y * 0.015625x3) + y3(0.25x + y)) = 0 Reorder the terms: (0.75xy3 + 0.1875x2y2 + 0.1875x2y2 + 0.046875x3y + (0.015625x3y + 0.00390625x4) + y3(0.25x + y)) = 0 (0.75xy3 + 0.1875x2y2 + 0.1875x2y2 + 0.046875x3y + (0.015625x3y + 0.00390625x4) + y3(0.25x + y)) = 0 (0.75xy3 + 0.1875x2y2 + 0.1875x2y2 + 0.046875x3y + 0.015625x3y + 0.00390625x4 + (0.25x * y3 + y * y3)) = 0 (0.75xy3 + 0.1875x2y2 + 0.1875x2y2 + 0.046875x3y + 0.015625x3y + 0.00390625x4 + (0.25xy3 + y4)) = 0 Reorder the terms: (0.75xy3 + 0.25xy3 + 0.1875x2y2 + 0.1875x2y2 + 0.046875x3y + 0.015625x3y + 0.00390625x4 + y4) = 0 Combine like terms: 0.75xy3 + 0.25xy3 = 1xy3 (1xy3 + 0.1875x2y2 + 0.1875x2y2 + 0.046875x3y + 0.015625x3y + 0.00390625x4 + y4) = 0 Combine like terms: 0.1875x2y2 + 0.1875x2y2 = 0.375x2y2 (1xy3 + 0.375x2y2 + 0.046875x3y + 0.015625x3y + 0.00390625x4 + y4) = 0 Combine like terms: 0.046875x3y + 0.015625x3y = 0.0625x3y (1xy3 + 0.375x2y2 + 0.0625x3y + 0.00390625x4 + y4) = 0 Solving 1xy3 + 0.375x2y2 + 0.0625x3y + 0.00390625x4 + y4 = 0 Solving for variable 'x'. The solution to this equation could not be determined.
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