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Simplifying (x + 4)(x + 4)(x + 4)(x + 4)(x + 4) + 16 = 0 Reorder the terms: (4 + x)(x + 4)(x + 4)(x + 4)(x + 4) + 16 = 0 Reorder the terms: (4 + x)(4 + x)(x + 4)(x + 4)(x + 4) + 16 = 0 Reorder the terms: (4 + x)(4 + x)(4 + x)(x + 4)(x + 4) + 16 = 0 Reorder the terms: (4 + x)(4 + x)(4 + x)(4 + x)(x + 4) + 16 = 0 Reorder the terms: (4 + x)(4 + x)(4 + x)(4 + x)(4 + x) + 16 = 0 Multiply (4 + x) * (4 + x) (4(4 + x) + x(4 + x))(4 + x)(4 + x)(4 + x) + 16 = 0 ((4 * 4 + x * 4) + x(4 + x))(4 + x)(4 + x)(4 + x) + 16 = 0 ((16 + 4x) + x(4 + x))(4 + x)(4 + x)(4 + x) + 16 = 0 (16 + 4x + (4 * x + x * x))(4 + x)(4 + x)(4 + x) + 16 = 0 (16 + 4x + (4x + x2))(4 + x)(4 + x)(4 + x) + 16 = 0 Combine like terms: 4x + 4x = 8x (16 + 8x + x2)(4 + x)(4 + x)(4 + x) + 16 = 0 Multiply (16 + 8x + x2) * (4 + x) (16(4 + x) + 8x * (4 + x) + x2(4 + x))(4 + x)(4 + x) + 16 = 0 ((4 * 16 + x * 16) + 8x * (4 + x) + x2(4 + x))(4 + x)(4 + x) + 16 = 0 ((64 + 16x) + 8x * (4 + x) + x2(4 + x))(4 + x)(4 + x) + 16 = 0 (64 + 16x + (4 * 8x + x * 8x) + x2(4 + x))(4 + x)(4 + x) + 16 = 0 (64 + 16x + (32x + 8x2) + x2(4 + x))(4 + x)(4 + x) + 16 = 0 (64 + 16x + 32x + 8x2 + (4 * x2 + x * x2))(4 + x)(4 + x) + 16 = 0 (64 + 16x + 32x + 8x2 + (4x2 + x3))(4 + x)(4 + x) + 16 = 0 Combine like terms: 16x + 32x = 48x (64 + 48x + 8x2 + 4x2 + x3)(4 + x)(4 + x) + 16 = 0 Combine like terms: 8x2 + 4x2 = 12x2 (64 + 48x + 12x2 + x3)(4 + x)(4 + x) + 16 = 0 Multiply (64 + 48x + 12x2 + x3) * (4 + x) (64(4 + x) + 48x * (4 + x) + 12x2 * (4 + x) + x3(4 + x))(4 + x) + 16 = 0 ((4 * 64 + x * 64) + 48x * (4 + x) + 12x2 * (4 + x) + x3(4 + x))(4 + x) + 16 = 0 ((256 + 64x) + 48x * (4 + x) + 12x2 * (4 + x) + x3(4 + x))(4 + x) + 16 = 0 (256 + 64x + (4 * 48x + x * 48x) + 12x2 * (4 + x) + x3(4 + x))(4 + x) + 16 = 0 (256 + 64x + (192x + 48x2) + 12x2 * (4 + x) + x3(4 + x))(4 + x) + 16 = 0 (256 + 64x + 192x + 48x2 + (4 * 12x2 + x * 12x2) + x3(4 + x))(4 + x) + 16 = 0 (256 + 64x + 192x + 48x2 + (48x2 + 12x3) + x3(4 + x))(4 + x) + 16 = 0 (256 + 64x + 192x + 48x2 + 48x2 + 12x3 + (4 * x3 + x * x3))(4 + x) + 16 = 0 (256 + 64x + 192x + 48x2 + 48x2 + 12x3 + (4x3 + x4))(4 + x) + 16 = 0 Combine like terms: 64x + 192x = 256x (256 + 256x + 48x2 + 48x2 + 12x3 + 4x3 + x4)(4 + x) + 16 = 0 Combine like terms: 48x2 + 48x2 = 96x2 (256 + 256x + 96x2 + 12x3 + 4x3 + x4)(4 + x) + 16 = 0 Combine like terms: 12x3 + 4x3 = 16x3 (256 + 256x + 96x2 + 16x3 + x4)(4 + x) + 16 = 0 Multiply (256 + 256x + 96x2 + 16x3 + x4) * (4 + x) (256(4 + x) + 256x * (4 + x) + 96x2 * (4 + x) + 16x3 * (4 + x) + x4(4 + x)) + 16 = 0 ((4 * 256 + x * 256) + 256x * (4 + x) + 96x2 * (4 + x) + 16x3 * (4 + x) + x4(4 + x)) + 16 = 0 ((1024 + 256x) + 256x * (4 + x) + 96x2 * (4 + x) + 16x3 * (4 + x) + x4(4 + x)) + 16 = 0 (1024 + 256x + (4 * 256x + x * 256x) + 96x2 * (4 + x) + 16x3 * (4 + x) + x4(4 + x)) + 16 = 0 (1024 + 256x + (1024x + 256x2) + 96x2 * (4 + x) + 16x3 * (4 + x) + x4(4 + x)) + 16 = 0 (1024 + 256x + 1024x + 256x2 + (4 * 96x2 + x * 96x2) + 16x3 * (4 + x) + x4(4 + x)) + 16 = 0 (1024 + 256x + 1024x + 256x2 + (384x2 + 96x3) + 16x3 * (4 + x) + x4(4 + x)) + 16 = 0 (1024 + 256x + 1024x + 256x2 + 384x2 + 96x3 + (4 * 16x3 + x * 16x3) + x4(4 + x)) + 16 = 0 (1024 + 256x + 1024x + 256x2 + 384x2 + 96x3 + (64x3 + 16x4) + x4(4 + x)) + 16 = 0 (1024 + 256x + 1024x + 256x2 + 384x2 + 96x3 + 64x3 + 16x4 + (4 * x4 + x * x4)) + 16 = 0 (1024 + 256x + 1024x + 256x2 + 384x2 + 96x3 + 64x3 + 16x4 + (4x4 + x5)) + 16 = 0 Combine like terms: 256x + 1024x = 1280x (1024 + 1280x + 256x2 + 384x2 + 96x3 + 64x3 + 16x4 + 4x4 + x5) + 16 = 0 Combine like terms: 256x2 + 384x2 = 640x2 (1024 + 1280x + 640x2 + 96x3 + 64x3 + 16x4 + 4x4 + x5) + 16 = 0 Combine like terms: 96x3 + 64x3 = 160x3 (1024 + 1280x + 640x2 + 160x3 + 16x4 + 4x4 + x5) + 16 = 0 Combine like terms: 16x4 + 4x4 = 20x4 (1024 + 1280x + 640x2 + 160x3 + 20x4 + x5) + 16 = 0 Reorder the terms: 1024 + 16 + 1280x + 640x2 + 160x3 + 20x4 + x5 = 0 Combine like terms: 1024 + 16 = 1040 1040 + 1280x + 640x2 + 160x3 + 20x4 + x5 = 0 Solving 1040 + 1280x + 640x2 + 160x3 + 20x4 + x5 = 0 Solving for variable 'x'. The solution to this equation could not be determined.
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