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Simplifying (2k + -15)(k2 + 8k + 16) = 0 Reorder the terms: (-15 + 2k)(k2 + 8k + 16) = 0 Reorder the terms: (-15 + 2k)(16 + 8k + k2) = 0 Multiply (-15 + 2k) * (16 + 8k + k2) (-15(16 + 8k + k2) + 2k * (16 + 8k + k2)) = 0 ((16 * -15 + 8k * -15 + k2 * -15) + 2k * (16 + 8k + k2)) = 0 ((-240 + -120k + -15k2) + 2k * (16 + 8k + k2)) = 0 (-240 + -120k + -15k2 + (16 * 2k + 8k * 2k + k2 * 2k)) = 0 (-240 + -120k + -15k2 + (32k + 16k2 + 2k3)) = 0 Reorder the terms: (-240 + -120k + 32k + -15k2 + 16k2 + 2k3) = 0 Combine like terms: -120k + 32k = -88k (-240 + -88k + -15k2 + 16k2 + 2k3) = 0 Combine like terms: -15k2 + 16k2 = 1k2 (-240 + -88k + 1k2 + 2k3) = 0 Solving -240 + -88k + 1k2 + 2k3 = 0 Solving for variable 'k'. The solution to this equation could not be determined.
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