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Simplifying (2x + y)(2x + y)(2x + y)(2x + y) = 0 Multiply (2x + y) * (2x + y) (2x * (2x + y) + y(2x + y))(2x + y)(2x + y) = 0 ((2x * 2x + y * 2x) + y(2x + y))(2x + y)(2x + y) = 0 Reorder the terms: ((2xy + 4x2) + y(2x + y))(2x + y)(2x + y) = 0 ((2xy + 4x2) + y(2x + y))(2x + y)(2x + y) = 0 (2xy + 4x2 + (2x * y + y * y))(2x + y)(2x + y) = 0 (2xy + 4x2 + (2xy + y2))(2x + y)(2x + y) = 0 Reorder the terms: (2xy + 2xy + 4x2 + y2)(2x + y)(2x + y) = 0 Combine like terms: 2xy + 2xy = 4xy (4xy + 4x2 + y2)(2x + y)(2x + y) = 0 Multiply (4xy + 4x2 + y2) * (2x + y) (4xy * (2x + y) + 4x2 * (2x + y) + y2(2x + y))(2x + y) = 0 ((2x * 4xy + y * 4xy) + 4x2 * (2x + y) + y2(2x + y))(2x + y) = 0 Reorder the terms: ((4xy2 + 8x2y) + 4x2 * (2x + y) + y2(2x + y))(2x + y) = 0 ((4xy2 + 8x2y) + 4x2 * (2x + y) + y2(2x + y))(2x + y) = 0 (4xy2 + 8x2y + (2x * 4x2 + y * 4x2) + y2(2x + y))(2x + y) = 0 Reorder the terms: (4xy2 + 8x2y + (4x2y + 8x3) + y2(2x + y))(2x + y) = 0 (4xy2 + 8x2y + (4x2y + 8x3) + y2(2x + y))(2x + y) = 0 (4xy2 + 8x2y + 4x2y + 8x3 + (2x * y2 + y * y2))(2x + y) = 0 (4xy2 + 8x2y + 4x2y + 8x3 + (2xy2 + y3))(2x + y) = 0 Reorder the terms: (4xy2 + 2xy2 + 8x2y + 4x2y + 8x3 + y3)(2x + y) = 0 Combine like terms: 4xy2 + 2xy2 = 6xy2 (6xy2 + 8x2y + 4x2y + 8x3 + y3)(2x + y) = 0 Combine like terms: 8x2y + 4x2y = 12x2y (6xy2 + 12x2y + 8x3 + y3)(2x + y) = 0 Multiply (6xy2 + 12x2y + 8x3 + y3) * (2x + y) (6xy2 * (2x + y) + 12x2y * (2x + y) + 8x3 * (2x + y) + y3(2x + y)) = 0 ((2x * 6xy2 + y * 6xy2) + 12x2y * (2x + y) + 8x3 * (2x + y) + y3(2x + y)) = 0 Reorder the terms: ((6xy3 + 12x2y2) + 12x2y * (2x + y) + 8x3 * (2x + y) + y3(2x + y)) = 0 ((6xy3 + 12x2y2) + 12x2y * (2x + y) + 8x3 * (2x + y) + y3(2x + y)) = 0 (6xy3 + 12x2y2 + (2x * 12x2y + y * 12x2y) + 8x3 * (2x + y) + y3(2x + y)) = 0 Reorder the terms: (6xy3 + 12x2y2 + (12x2y2 + 24x3y) + 8x3 * (2x + y) + y3(2x + y)) = 0 (6xy3 + 12x2y2 + (12x2y2 + 24x3y) + 8x3 * (2x + y) + y3(2x + y)) = 0 (6xy3 + 12x2y2 + 12x2y2 + 24x3y + (2x * 8x3 + y * 8x3) + y3(2x + y)) = 0 Reorder the terms: (6xy3 + 12x2y2 + 12x2y2 + 24x3y + (8x3y + 16x4) + y3(2x + y)) = 0 (6xy3 + 12x2y2 + 12x2y2 + 24x3y + (8x3y + 16x4) + y3(2x + y)) = 0 (6xy3 + 12x2y2 + 12x2y2 + 24x3y + 8x3y + 16x4 + (2x * y3 + y * y3)) = 0 (6xy3 + 12x2y2 + 12x2y2 + 24x3y + 8x3y + 16x4 + (2xy3 + y4)) = 0 Reorder the terms: (6xy3 + 2xy3 + 12x2y2 + 12x2y2 + 24x3y + 8x3y + 16x4 + y4) = 0 Combine like terms: 6xy3 + 2xy3 = 8xy3 (8xy3 + 12x2y2 + 12x2y2 + 24x3y + 8x3y + 16x4 + y4) = 0 Combine like terms: 12x2y2 + 12x2y2 = 24x2y2 (8xy3 + 24x2y2 + 24x3y + 8x3y + 16x4 + y4) = 0 Combine like terms: 24x3y + 8x3y = 32x3y (8xy3 + 24x2y2 + 32x3y + 16x4 + y4) = 0 Solving 8xy3 + 24x2y2 + 32x3y + 16x4 + y4 = 0 Solving for variable 'x'. The solution to this equation could not be determined.
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