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Simplifying (-2k2 + 7k + 6)(3k2 + -2k + -3) = 0 Reorder the terms: (6 + 7k + -2k2)(3k2 + -2k + -3) = 0 Reorder the terms: (6 + 7k + -2k2)(-3 + -2k + 3k2) = 0 Multiply (6 + 7k + -2k2) * (-3 + -2k + 3k2) (6(-3 + -2k + 3k2) + 7k * (-3 + -2k + 3k2) + -2k2 * (-3 + -2k + 3k2)) = 0 ((-3 * 6 + -2k * 6 + 3k2 * 6) + 7k * (-3 + -2k + 3k2) + -2k2 * (-3 + -2k + 3k2)) = 0 ((-18 + -12k + 18k2) + 7k * (-3 + -2k + 3k2) + -2k2 * (-3 + -2k + 3k2)) = 0 (-18 + -12k + 18k2 + (-3 * 7k + -2k * 7k + 3k2 * 7k) + -2k2 * (-3 + -2k + 3k2)) = 0 (-18 + -12k + 18k2 + (-21k + -14k2 + 21k3) + -2k2 * (-3 + -2k + 3k2)) = 0 (-18 + -12k + 18k2 + -21k + -14k2 + 21k3 + (-3 * -2k2 + -2k * -2k2 + 3k2 * -2k2)) = 0 (-18 + -12k + 18k2 + -21k + -14k2 + 21k3 + (6k2 + 4k3 + -6k4)) = 0 Reorder the terms: (-18 + -12k + -21k + 18k2 + -14k2 + 6k2 + 21k3 + 4k3 + -6k4) = 0 Combine like terms: -12k + -21k = -33k (-18 + -33k + 18k2 + -14k2 + 6k2 + 21k3 + 4k3 + -6k4) = 0 Combine like terms: 18k2 + -14k2 = 4k2 (-18 + -33k + 4k2 + 6k2 + 21k3 + 4k3 + -6k4) = 0 Combine like terms: 4k2 + 6k2 = 10k2 (-18 + -33k + 10k2 + 21k3 + 4k3 + -6k4) = 0 Combine like terms: 21k3 + 4k3 = 25k3 (-18 + -33k + 10k2 + 25k3 + -6k4) = 0 Solving -18 + -33k + 10k2 + 25k3 + -6k4 = 0 Solving for variable 'k'. The solution to this equation could not be determined.
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