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Simplifying (x + y)(x + y)(x + y)(x + y) = 0 Multiply (x + y) * (x + y) (x(x + y) + y(x + y))(x + y)(x + y) = 0 ((x * x + y * x) + y(x + y))(x + y)(x + y) = 0 Reorder the terms: ((xy + x2) + y(x + y))(x + y)(x + y) = 0 ((xy + x2) + y(x + y))(x + y)(x + y) = 0 (xy + x2 + (x * y + y * y))(x + y)(x + y) = 0 (xy + x2 + (xy + y2))(x + y)(x + y) = 0 Reorder the terms: (xy + xy + x2 + y2)(x + y)(x + y) = 0 Combine like terms: xy + xy = 2xy (2xy + x2 + y2)(x + y)(x + y) = 0 Multiply (2xy + x2 + y2) * (x + y) (2xy * (x + y) + x2(x + y) + y2(x + y))(x + y) = 0 ((x * 2xy + y * 2xy) + x2(x + y) + y2(x + y))(x + y) = 0 Reorder the terms: ((2xy2 + 2x2y) + x2(x + y) + y2(x + y))(x + y) = 0 ((2xy2 + 2x2y) + x2(x + y) + y2(x + y))(x + y) = 0 (2xy2 + 2x2y + (x * x2 + y * x2) + y2(x + y))(x + y) = 0 Reorder the terms: (2xy2 + 2x2y + (x2y + x3) + y2(x + y))(x + y) = 0 (2xy2 + 2x2y + (x2y + x3) + y2(x + y))(x + y) = 0 (2xy2 + 2x2y + x2y + x3 + (x * y2 + y * y2))(x + y) = 0 (2xy2 + 2x2y + x2y + x3 + (xy2 + y3))(x + y) = 0 Reorder the terms: (2xy2 + xy2 + 2x2y + x2y + x3 + y3)(x + y) = 0 Combine like terms: 2xy2 + xy2 = 3xy2 (3xy2 + 2x2y + x2y + x3 + y3)(x + y) = 0 Combine like terms: 2x2y + x2y = 3x2y (3xy2 + 3x2y + x3 + y3)(x + y) = 0 Multiply (3xy2 + 3x2y + x3 + y3) * (x + y) (3xy2 * (x + y) + 3x2y * (x + y) + x3(x + y) + y3(x + y)) = 0 ((x * 3xy2 + y * 3xy2) + 3x2y * (x + y) + x3(x + y) + y3(x + y)) = 0 Reorder the terms: ((3xy3 + 3x2y2) + 3x2y * (x + y) + x3(x + y) + y3(x + y)) = 0 ((3xy3 + 3x2y2) + 3x2y * (x + y) + x3(x + y) + y3(x + y)) = 0 (3xy3 + 3x2y2 + (x * 3x2y + y * 3x2y) + x3(x + y) + y3(x + y)) = 0 Reorder the terms: (3xy3 + 3x2y2 + (3x2y2 + 3x3y) + x3(x + y) + y3(x + y)) = 0 (3xy3 + 3x2y2 + (3x2y2 + 3x3y) + x3(x + y) + y3(x + y)) = 0 (3xy3 + 3x2y2 + 3x2y2 + 3x3y + (x * x3 + y * x3) + y3(x + y)) = 0 Reorder the terms: (3xy3 + 3x2y2 + 3x2y2 + 3x3y + (x3y + x4) + y3(x + y)) = 0 (3xy3 + 3x2y2 + 3x2y2 + 3x3y + (x3y + x4) + y3(x + y)) = 0 (3xy3 + 3x2y2 + 3x2y2 + 3x3y + x3y + x4 + (x * y3 + y * y3)) = 0 (3xy3 + 3x2y2 + 3x2y2 + 3x3y + x3y + x4 + (xy3 + y4)) = 0 Reorder the terms: (3xy3 + xy3 + 3x2y2 + 3x2y2 + 3x3y + x3y + x4 + y4) = 0 Combine like terms: 3xy3 + xy3 = 4xy3 (4xy3 + 3x2y2 + 3x2y2 + 3x3y + x3y + x4 + y4) = 0 Combine like terms: 3x2y2 + 3x2y2 = 6x2y2 (4xy3 + 6x2y2 + 3x3y + x3y + x4 + y4) = 0 Combine like terms: 3x3y + x3y = 4x3y (4xy3 + 6x2y2 + 4x3y + x4 + y4) = 0 Solving 4xy3 + 6x2y2 + 4x3y + x4 + y4 = 0 Solving for variable 'x'. The solution to this equation could not be determined.
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