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Simplifying (x * x + 2)(x * x + 2)(x * x + 2)(x * x + 2)(x * x + 2) = 0 Multiply x * x (x2 + 2)(x * x + 2)(x * x + 2)(x * x + 2)(x * x + 2) = 0 Reorder the terms: (2 + x2)(x * x + 2)(x * x + 2)(x * x + 2)(x * x + 2) = 0 Multiply x * x (2 + x2)(x2 + 2)(x * x + 2)(x * x + 2)(x * x + 2) = 0 Reorder the terms: (2 + x2)(2 + x2)(x * x + 2)(x * x + 2)(x * x + 2) = 0 Multiply x * x (2 + x2)(2 + x2)(x2 + 2)(x * x + 2)(x * x + 2) = 0 Reorder the terms: (2 + x2)(2 + x2)(2 + x2)(x * x + 2)(x * x + 2) = 0 Multiply x * x (2 + x2)(2 + x2)(2 + x2)(x2 + 2)(x * x + 2) = 0 Reorder the terms: (2 + x2)(2 + x2)(2 + x2)(2 + x2)(x * x + 2) = 0 Multiply x * x (2 + x2)(2 + x2)(2 + x2)(2 + x2)(x2 + 2) = 0 Reorder the terms: (2 + x2)(2 + x2)(2 + x2)(2 + x2)(2 + x2) = 0 Multiply (2 + x2) * (2 + x2) (2(2 + x2) + x2(2 + x2))(2 + x2)(2 + x2)(2 + x2) = 0 ((2 * 2 + x2 * 2) + x2(2 + x2))(2 + x2)(2 + x2)(2 + x2) = 0 ((4 + 2x2) + x2(2 + x2))(2 + x2)(2 + x2)(2 + x2) = 0 (4 + 2x2 + (2 * x2 + x2 * x2))(2 + x2)(2 + x2)(2 + x2) = 0 (4 + 2x2 + (2x2 + x4))(2 + x2)(2 + x2)(2 + x2) = 0 Combine like terms: 2x2 + 2x2 = 4x2 (4 + 4x2 + x4)(2 + x2)(2 + x2)(2 + x2) = 0 Multiply (4 + 4x2 + x4) * (2 + x2) (4(2 + x2) + 4x2 * (2 + x2) + x4(2 + x2))(2 + x2)(2 + x2) = 0 ((2 * 4 + x2 * 4) + 4x2 * (2 + x2) + x4(2 + x2))(2 + x2)(2 + x2) = 0 ((8 + 4x2) + 4x2 * (2 + x2) + x4(2 + x2))(2 + x2)(2 + x2) = 0 (8 + 4x2 + (2 * 4x2 + x2 * 4x2) + x4(2 + x2))(2 + x2)(2 + x2) = 0 (8 + 4x2 + (8x2 + 4x4) + x4(2 + x2))(2 + x2)(2 + x2) = 0 (8 + 4x2 + 8x2 + 4x4 + (2 * x4 + x2 * x4))(2 + x2)(2 + x2) = 0 (8 + 4x2 + 8x2 + 4x4 + (2x4 + x6))(2 + x2)(2 + x2) = 0 Combine like terms: 4x2 + 8x2 = 12x2 (8 + 12x2 + 4x4 + 2x4 + x6)(2 + x2)(2 + x2) = 0 Combine like terms: 4x4 + 2x4 = 6x4 (8 + 12x2 + 6x4 + x6)(2 + x2)(2 + x2) = 0 Multiply (8 + 12x2 + 6x4 + x6) * (2 + x2) (8(2 + x2) + 12x2 * (2 + x2) + 6x4 * (2 + x2) + x6(2 + x2))(2 + x2) = 0 ((2 * 8 + x2 * 8) + 12x2 * (2 + x2) + 6x4 * (2 + x2) + x6(2 + x2))(2 + x2) = 0 ((16 + 8x2) + 12x2 * (2 + x2) + 6x4 * (2 + x2) + x6(2 + x2))(2 + x2) = 0 (16 + 8x2 + (2 * 12x2 + x2 * 12x2) + 6x4 * (2 + x2) + x6(2 + x2))(2 + x2) = 0 (16 + 8x2 + (24x2 + 12x4) + 6x4 * (2 + x2) + x6(2 + x2))(2 + x2) = 0 (16 + 8x2 + 24x2 + 12x4 + (2 * 6x4 + x2 * 6x4) + x6(2 + x2))(2 + x2) = 0 (16 + 8x2 + 24x2 + 12x4 + (12x4 + 6x6) + x6(2 + x2))(2 + x2) = 0 (16 + 8x2 + 24x2 + 12x4 + 12x4 + 6x6 + (2 * x6 + x2 * x6))(2 + x2) = 0 (16 + 8x2 + 24x2 + 12x4 + 12x4 + 6x6 + (2x6 + x8))(2 + x2) = 0 Combine like terms: 8x2 + 24x2 = 32x2 (16 + 32x2 + 12x4 + 12x4 + 6x6 + 2x6 + x8)(2 + x2) = 0 Combine like terms: 12x4 + 12x4 = 24x4 (16 + 32x2 + 24x4 + 6x6 + 2x6 + x8)(2 + x2) = 0 Combine like terms: 6x6 + 2x6 = 8x6 (16 + 32x2 + 24x4 + 8x6 + x8)(2 + x2) = 0 Multiply (16 + 32x2 + 24x4 + 8x6 + x8) * (2 + x2) (16(2 + x2) + 32x2 * (2 + x2) + 24x4 * (2 + x2) + 8x6 * (2 + x2) + x8(2 + x2)) = 0 ((2 * 16 + x2 * 16) + 32x2 * (2 + x2) + 24x4 * (2 + x2) + 8x6 * (2 + x2) + x8(2 + x2)) = 0 ((32 + 16x2) + 32x2 * (2 + x2) + 24x4 * (2 + x2) + 8x6 * (2 + x2) + x8(2 + x2)) = 0 (32 + 16x2 + (2 * 32x2 + x2 * 32x2) + 24x4 * (2 + x2) + 8x6 * (2 + x2) + x8(2 + x2)) = 0 (32 + 16x2 + (64x2 + 32x4) + 24x4 * (2 + x2) + 8x6 * (2 + x2) + x8(2 + x2)) = 0 (32 + 16x2 + 64x2 + 32x4 + (2 * 24x4 + x2 * 24x4) + 8x6 * (2 + x2) + x8(2 + x2)) = 0 (32 + 16x2 + 64x2 + 32x4 + (48x4 + 24x6) + 8x6 * (2 + x2) + x8(2 + x2)) = 0 (32 + 16x2 + 64x2 + 32x4 + 48x4 + 24x6 + (2 * 8x6 + x2 * 8x6) + x8(2 + x2)) = 0 (32 + 16x2 + 64x2 + 32x4 + 48x4 + 24x6 + (16x6 + 8x8) + x8(2 + x2)) = 0 (32 + 16x2 + 64x2 + 32x4 + 48x4 + 24x6 + 16x6 + 8x8 + (2 * x8 + x2 * x8)) = 0 (32 + 16x2 + 64x2 + 32x4 + 48x4 + 24x6 + 16x6 + 8x8 + (2x8 + x10)) = 0 Combine like terms: 16x2 + 64x2 = 80x2 (32 + 80x2 + 32x4 + 48x4 + 24x6 + 16x6 + 8x8 + 2x8 + x10) = 0 Combine like terms: 32x4 + 48x4 = 80x4 (32 + 80x2 + 80x4 + 24x6 + 16x6 + 8x8 + 2x8 + x10) = 0 Combine like terms: 24x6 + 16x6 = 40x6 (32 + 80x2 + 80x4 + 40x6 + 8x8 + 2x8 + x10) = 0 Combine like terms: 8x8 + 2x8 = 10x8 (32 + 80x2 + 80x4 + 40x6 + 10x8 + x10) = 0 Solving 32 + 80x2 + 80x4 + 40x6 + 10x8 + x10 = 0 Solving for variable 'x'. The solution to this equation could not be determined.
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