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Simplifying (3q + -8)(-9q + 2)(q + -2) = 0 Reorder the terms: (-8 + 3q)(-9q + 2)(q + -2) = 0 Reorder the terms: (-8 + 3q)(2 + -9q)(q + -2) = 0 Reorder the terms: (-8 + 3q)(2 + -9q)(-2 + q) = 0 Multiply (-8 + 3q) * (2 + -9q) (-8(2 + -9q) + 3q * (2 + -9q))(-2 + q) = 0 ((2 * -8 + -9q * -8) + 3q * (2 + -9q))(-2 + q) = 0 ((-16 + 72q) + 3q * (2 + -9q))(-2 + q) = 0 (-16 + 72q + (2 * 3q + -9q * 3q))(-2 + q) = 0 (-16 + 72q + (6q + -27q2))(-2 + q) = 0 Combine like terms: 72q + 6q = 78q (-16 + 78q + -27q2)(-2 + q) = 0 Multiply (-16 + 78q + -27q2) * (-2 + q) (-16(-2 + q) + 78q * (-2 + q) + -27q2 * (-2 + q)) = 0 ((-2 * -16 + q * -16) + 78q * (-2 + q) + -27q2 * (-2 + q)) = 0 ((32 + -16q) + 78q * (-2 + q) + -27q2 * (-2 + q)) = 0 (32 + -16q + (-2 * 78q + q * 78q) + -27q2 * (-2 + q)) = 0 (32 + -16q + (-156q + 78q2) + -27q2 * (-2 + q)) = 0 (32 + -16q + -156q + 78q2 + (-2 * -27q2 + q * -27q2)) = 0 (32 + -16q + -156q + 78q2 + (54q2 + -27q3)) = 0 Combine like terms: -16q + -156q = -172q (32 + -172q + 78q2 + 54q2 + -27q3) = 0 Combine like terms: 78q2 + 54q2 = 132q2 (32 + -172q + 132q2 + -27q3) = 0 Solving 32 + -172q + 132q2 + -27q3 = 0 Solving for variable 'q'. The solution to this equation could not be determined.
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