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Simplifying (7k2 + 8k + -8)(3k + 1) = 0 Reorder the terms: (-8 + 8k + 7k2)(3k + 1) = 0 Reorder the terms: (-8 + 8k + 7k2)(1 + 3k) = 0 Multiply (-8 + 8k + 7k2) * (1 + 3k) (-8(1 + 3k) + 8k * (1 + 3k) + 7k2 * (1 + 3k)) = 0 ((1 * -8 + 3k * -8) + 8k * (1 + 3k) + 7k2 * (1 + 3k)) = 0 ((-8 + -24k) + 8k * (1 + 3k) + 7k2 * (1 + 3k)) = 0 (-8 + -24k + (1 * 8k + 3k * 8k) + 7k2 * (1 + 3k)) = 0 (-8 + -24k + (8k + 24k2) + 7k2 * (1 + 3k)) = 0 (-8 + -24k + 8k + 24k2 + (1 * 7k2 + 3k * 7k2)) = 0 (-8 + -24k + 8k + 24k2 + (7k2 + 21k3)) = 0 Combine like terms: -24k + 8k = -16k (-8 + -16k + 24k2 + 7k2 + 21k3) = 0 Combine like terms: 24k2 + 7k2 = 31k2 (-8 + -16k + 31k2 + 21k3) = 0 Solving -8 + -16k + 31k2 + 21k3 = 0 Solving for variable 'k'. The solution to this equation could not be determined.
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