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Simplifying (3k2 + -9k + 6)(2k + -8) = 0 Reorder the terms: (6 + -9k + 3k2)(2k + -8) = 0 Reorder the terms: (6 + -9k + 3k2)(-8 + 2k) = 0 Multiply (6 + -9k + 3k2) * (-8 + 2k) (6(-8 + 2k) + -9k * (-8 + 2k) + 3k2 * (-8 + 2k)) = 0 ((-8 * 6 + 2k * 6) + -9k * (-8 + 2k) + 3k2 * (-8 + 2k)) = 0 ((-48 + 12k) + -9k * (-8 + 2k) + 3k2 * (-8 + 2k)) = 0 (-48 + 12k + (-8 * -9k + 2k * -9k) + 3k2 * (-8 + 2k)) = 0 (-48 + 12k + (72k + -18k2) + 3k2 * (-8 + 2k)) = 0 (-48 + 12k + 72k + -18k2 + (-8 * 3k2 + 2k * 3k2)) = 0 (-48 + 12k + 72k + -18k2 + (-24k2 + 6k3)) = 0 Combine like terms: 12k + 72k = 84k (-48 + 84k + -18k2 + -24k2 + 6k3) = 0 Combine like terms: -18k2 + -24k2 = -42k2 (-48 + 84k + -42k2 + 6k3) = 0 Solving -48 + 84k + -42k2 + 6k3 = 0 Solving for variable 'k'. Factor out the Greatest Common Factor (GCF), '6'. 6(-8 + 14k + -7k2 + k3) = 0 Ignore the factor 6.Subproblem 1
Set the factor '(-8 + 14k + -7k2 + k3)' equal to zero and attempt to solve: Simplifying -8 + 14k + -7k2 + k3 = 0 Solving -8 + 14k + -7k2 + k3 = 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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