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Simplifying (x3 + 4y)(x3 + 4y)(x3 + 4y)(x3 + 4y) = 0 Multiply (x3 + 4y) * (x3 + 4y) (x3(x3 + 4y) + 4y * (x3 + 4y))(x3 + 4y)(x3 + 4y) = 0 ((x3 * x3 + 4y * x3) + 4y * (x3 + 4y))(x3 + 4y)(x3 + 4y) = 0 Reorder the terms: ((4x3y + x6) + 4y * (x3 + 4y))(x3 + 4y)(x3 + 4y) = 0 ((4x3y + x6) + 4y * (x3 + 4y))(x3 + 4y)(x3 + 4y) = 0 (4x3y + x6 + (x3 * 4y + 4y * 4y))(x3 + 4y)(x3 + 4y) = 0 (4x3y + x6 + (4x3y + 16y2))(x3 + 4y)(x3 + 4y) = 0 Reorder the terms: (4x3y + 4x3y + x6 + 16y2)(x3 + 4y)(x3 + 4y) = 0 Combine like terms: 4x3y + 4x3y = 8x3y (8x3y + x6 + 16y2)(x3 + 4y)(x3 + 4y) = 0 Multiply (8x3y + x6 + 16y2) * (x3 + 4y) (8x3y * (x3 + 4y) + x6(x3 + 4y) + 16y2 * (x3 + 4y))(x3 + 4y) = 0 ((x3 * 8x3y + 4y * 8x3y) + x6(x3 + 4y) + 16y2 * (x3 + 4y))(x3 + 4y) = 0 Reorder the terms: ((32x3y2 + 8x6y) + x6(x3 + 4y) + 16y2 * (x3 + 4y))(x3 + 4y) = 0 ((32x3y2 + 8x6y) + x6(x3 + 4y) + 16y2 * (x3 + 4y))(x3 + 4y) = 0 (32x3y2 + 8x6y + (x3 * x6 + 4y * x6) + 16y2 * (x3 + 4y))(x3 + 4y) = 0 Reorder the terms: (32x3y2 + 8x6y + (4x6y + x9) + 16y2 * (x3 + 4y))(x3 + 4y) = 0 (32x3y2 + 8x6y + (4x6y + x9) + 16y2 * (x3 + 4y))(x3 + 4y) = 0 (32x3y2 + 8x6y + 4x6y + x9 + (x3 * 16y2 + 4y * 16y2))(x3 + 4y) = 0 (32x3y2 + 8x6y + 4x6y + x9 + (16x3y2 + 64y3))(x3 + 4y) = 0 Reorder the terms: (32x3y2 + 16x3y2 + 8x6y + 4x6y + x9 + 64y3)(x3 + 4y) = 0 Combine like terms: 32x3y2 + 16x3y2 = 48x3y2 (48x3y2 + 8x6y + 4x6y + x9 + 64y3)(x3 + 4y) = 0 Combine like terms: 8x6y + 4x6y = 12x6y (48x3y2 + 12x6y + x9 + 64y3)(x3 + 4y) = 0 Multiply (48x3y2 + 12x6y + x9 + 64y3) * (x3 + 4y) (48x3y2 * (x3 + 4y) + 12x6y * (x3 + 4y) + x9(x3 + 4y) + 64y3 * (x3 + 4y)) = 0 ((x3 * 48x3y2 + 4y * 48x3y2) + 12x6y * (x3 + 4y) + x9(x3 + 4y) + 64y3 * (x3 + 4y)) = 0 Reorder the terms: ((192x3y3 + 48x6y2) + 12x6y * (x3 + 4y) + x9(x3 + 4y) + 64y3 * (x3 + 4y)) = 0 ((192x3y3 + 48x6y2) + 12x6y * (x3 + 4y) + x9(x3 + 4y) + 64y3 * (x3 + 4y)) = 0 (192x3y3 + 48x6y2 + (x3 * 12x6y + 4y * 12x6y) + x9(x3 + 4y) + 64y3 * (x3 + 4y)) = 0 Reorder the terms: (192x3y3 + 48x6y2 + (48x6y2 + 12x9y) + x9(x3 + 4y) + 64y3 * (x3 + 4y)) = 0 (192x3y3 + 48x6y2 + (48x6y2 + 12x9y) + x9(x3 + 4y) + 64y3 * (x3 + 4y)) = 0 (192x3y3 + 48x6y2 + 48x6y2 + 12x9y + (x3 * x9 + 4y * x9) + 64y3 * (x3 + 4y)) = 0 Reorder the terms: (192x3y3 + 48x6y2 + 48x6y2 + 12x9y + (4x9y + x12) + 64y3 * (x3 + 4y)) = 0 (192x3y3 + 48x6y2 + 48x6y2 + 12x9y + (4x9y + x12) + 64y3 * (x3 + 4y)) = 0 (192x3y3 + 48x6y2 + 48x6y2 + 12x9y + 4x9y + x12 + (x3 * 64y3 + 4y * 64y3)) = 0 (192x3y3 + 48x6y2 + 48x6y2 + 12x9y + 4x9y + x12 + (64x3y3 + 256y4)) = 0 Reorder the terms: (192x3y3 + 64x3y3 + 48x6y2 + 48x6y2 + 12x9y + 4x9y + x12 + 256y4) = 0 Combine like terms: 192x3y3 + 64x3y3 = 256x3y3 (256x3y3 + 48x6y2 + 48x6y2 + 12x9y + 4x9y + x12 + 256y4) = 0 Combine like terms: 48x6y2 + 48x6y2 = 96x6y2 (256x3y3 + 96x6y2 + 12x9y + 4x9y + x12 + 256y4) = 0 Combine like terms: 12x9y + 4x9y = 16x9y (256x3y3 + 96x6y2 + 16x9y + x12 + 256y4) = 0 Solving 256x3y3 + 96x6y2 + 16x9y + x12 + 256y4 = 0 Solving for variable 'x'. The solution to this equation could not be determined.
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