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Simplifying (5q + 2)(8q + 1)(q + -4) = 0 Reorder the terms: (2 + 5q)(8q + 1)(q + -4) = 0 Reorder the terms: (2 + 5q)(1 + 8q)(q + -4) = 0 Reorder the terms: (2 + 5q)(1 + 8q)(-4 + q) = 0 Multiply (2 + 5q) * (1 + 8q) (2(1 + 8q) + 5q * (1 + 8q))(-4 + q) = 0 ((1 * 2 + 8q * 2) + 5q * (1 + 8q))(-4 + q) = 0 ((2 + 16q) + 5q * (1 + 8q))(-4 + q) = 0 (2 + 16q + (1 * 5q + 8q * 5q))(-4 + q) = 0 (2 + 16q + (5q + 40q2))(-4 + q) = 0 Combine like terms: 16q + 5q = 21q (2 + 21q + 40q2)(-4 + q) = 0 Multiply (2 + 21q + 40q2) * (-4 + q) (2(-4 + q) + 21q * (-4 + q) + 40q2 * (-4 + q)) = 0 ((-4 * 2 + q * 2) + 21q * (-4 + q) + 40q2 * (-4 + q)) = 0 ((-8 + 2q) + 21q * (-4 + q) + 40q2 * (-4 + q)) = 0 (-8 + 2q + (-4 * 21q + q * 21q) + 40q2 * (-4 + q)) = 0 (-8 + 2q + (-84q + 21q2) + 40q2 * (-4 + q)) = 0 (-8 + 2q + -84q + 21q2 + (-4 * 40q2 + q * 40q2)) = 0 (-8 + 2q + -84q + 21q2 + (-160q2 + 40q3)) = 0 Combine like terms: 2q + -84q = -82q (-8 + -82q + 21q2 + -160q2 + 40q3) = 0 Combine like terms: 21q2 + -160q2 = -139q2 (-8 + -82q + -139q2 + 40q3) = 0 Solving -8 + -82q + -139q2 + 40q3 = 0 Solving for variable 'q'. The solution to this equation could not be determined.
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