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Simplifying (2x + 4)(x + 2)(x + 8) = 0 Reorder the terms: (4 + 2x)(x + 2)(x + 8) = 0 Reorder the terms: (4 + 2x)(2 + x)(x + 8) = 0 Reorder the terms: (4 + 2x)(2 + x)(8 + x) = 0 Multiply (4 + 2x) * (2 + x) (4(2 + x) + 2x * (2 + x))(8 + x) = 0 ((2 * 4 + x * 4) + 2x * (2 + x))(8 + x) = 0 ((8 + 4x) + 2x * (2 + x))(8 + x) = 0 (8 + 4x + (2 * 2x + x * 2x))(8 + x) = 0 (8 + 4x + (4x + 2x2))(8 + x) = 0 Combine like terms: 4x + 4x = 8x (8 + 8x + 2x2)(8 + x) = 0 Multiply (8 + 8x + 2x2) * (8 + x) (8(8 + x) + 8x * (8 + x) + 2x2 * (8 + x)) = 0 ((8 * 8 + x * 8) + 8x * (8 + x) + 2x2 * (8 + x)) = 0 ((64 + 8x) + 8x * (8 + x) + 2x2 * (8 + x)) = 0 (64 + 8x + (8 * 8x + x * 8x) + 2x2 * (8 + x)) = 0 (64 + 8x + (64x + 8x2) + 2x2 * (8 + x)) = 0 (64 + 8x + 64x + 8x2 + (8 * 2x2 + x * 2x2)) = 0 (64 + 8x + 64x + 8x2 + (16x2 + 2x3)) = 0 Combine like terms: 8x + 64x = 72x (64 + 72x + 8x2 + 16x2 + 2x3) = 0 Combine like terms: 8x2 + 16x2 = 24x2 (64 + 72x + 24x2 + 2x3) = 0 Solving 64 + 72x + 24x2 + 2x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(32 + 36x + 12x2 + x3) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(32 + 36x + 12x2 + x3)' equal to zero and attempt to solve: Simplifying 32 + 36x + 12x2 + x3 = 0 Solving 32 + 36x + 12x2 + x3 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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