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Simplifying (4k + 8)(2k2 + 7k + 8) = 0 Reorder the terms: (8 + 4k)(2k2 + 7k + 8) = 0 Reorder the terms: (8 + 4k)(8 + 7k + 2k2) = 0 Multiply (8 + 4k) * (8 + 7k + 2k2) (8(8 + 7k + 2k2) + 4k * (8 + 7k + 2k2)) = 0 ((8 * 8 + 7k * 8 + 2k2 * 8) + 4k * (8 + 7k + 2k2)) = 0 ((64 + 56k + 16k2) + 4k * (8 + 7k + 2k2)) = 0 (64 + 56k + 16k2 + (8 * 4k + 7k * 4k + 2k2 * 4k)) = 0 (64 + 56k + 16k2 + (32k + 28k2 + 8k3)) = 0 Reorder the terms: (64 + 56k + 32k + 16k2 + 28k2 + 8k3) = 0 Combine like terms: 56k + 32k = 88k (64 + 88k + 16k2 + 28k2 + 8k3) = 0 Combine like terms: 16k2 + 28k2 = 44k2 (64 + 88k + 44k2 + 8k3) = 0 Solving 64 + 88k + 44k2 + 8k3 = 0 Solving for variable 'k'. Factor out the Greatest Common Factor (GCF), '4'. 4(16 + 22k + 11k2 + 2k3) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(16 + 22k + 11k2 + 2k3)' equal to zero and attempt to solve: Simplifying 16 + 22k + 11k2 + 2k3 = 0 Solving 16 + 22k + 11k2 + 2k3 = 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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