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Simplifying (2x + 8)(4x2 + 5x + 1) = 0 Reorder the terms: (8 + 2x)(4x2 + 5x + 1) = 0 Reorder the terms: (8 + 2x)(1 + 5x + 4x2) = 0 Multiply (8 + 2x) * (1 + 5x + 4x2) (8(1 + 5x + 4x2) + 2x * (1 + 5x + 4x2)) = 0 ((1 * 8 + 5x * 8 + 4x2 * 8) + 2x * (1 + 5x + 4x2)) = 0 ((8 + 40x + 32x2) + 2x * (1 + 5x + 4x2)) = 0 (8 + 40x + 32x2 + (1 * 2x + 5x * 2x + 4x2 * 2x)) = 0 (8 + 40x + 32x2 + (2x + 10x2 + 8x3)) = 0 Reorder the terms: (8 + 40x + 2x + 32x2 + 10x2 + 8x3) = 0 Combine like terms: 40x + 2x = 42x (8 + 42x + 32x2 + 10x2 + 8x3) = 0 Combine like terms: 32x2 + 10x2 = 42x2 (8 + 42x + 42x2 + 8x3) = 0 Solving 8 + 42x + 42x2 + 8x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(4 + 21x + 21x2 + 4x3) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(4 + 21x + 21x2 + 4x3)' equal to zero and attempt to solve: Simplifying 4 + 21x + 21x2 + 4x3 = 0 Solving 4 + 21x + 21x2 + 4x3 = 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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