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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 = -11q (2 + -11q + -40q2)(-4 + q) = 0 Multiply (2 + -11q + -40q2) * (-4 + q) (2(-4 + q) + -11q * (-4 + q) + -40q2 * (-4 + q)) = 0 ((-4 * 2 + q * 2) + -11q * (-4 + q) + -40q2 * (-4 + q)) = 0 ((-8 + 2q) + -11q * (-4 + q) + -40q2 * (-4 + q)) = 0 (-8 + 2q + (-4 * -11q + q * -11q) + -40q2 * (-4 + q)) = 0 (-8 + 2q + (44q + -11q2) + -40q2 * (-4 + q)) = 0 (-8 + 2q + 44q + -11q2 + (-4 * -40q2 + q * -40q2)) = 0 (-8 + 2q + 44q + -11q2 + (160q2 + -40q3)) = 0 Combine like terms: 2q + 44q = 46q (-8 + 46q + -11q2 + 160q2 + -40q3) = 0 Combine like terms: -11q2 + 160q2 = 149q2 (-8 + 46q + 149q2 + -40q3) = 0 Solving -8 + 46q + 149q2 + -40q3 = 0 Solving for variable 'q'. The solution to this equation could not be determined.
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