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Simplifying 10 = 0.2t(t + -5)(t + -9.321) Reorder the terms: 10 = 0.2t(-5 + t)(t + -9.321) Reorder the terms: 10 = 0.2t(-5 + t)(-9.321 + t) Multiply (-5 + t) * (-9.321 + t) 10 = 0.2t(-5(-9.321 + t) + t(-9.321 + t)) 10 = 0.2t((-9.321 * -5 + t * -5) + t(-9.321 + t)) 10 = 0.2t((46.605 + -5t) + t(-9.321 + t)) 10 = 0.2t(46.605 + -5t + (-9.321 * t + t * t)) 10 = 0.2t(46.605 + -5t + (-9.321t + t2)) Combine like terms: -5t + -9.321t = -14.321t 10 = 0.2t(46.605 + -14.321t + t2) 10 = (46.605 * 0.2t + -14.321t * 0.2t + t2 * 0.2t) 10 = (9.321t + -2.8642t2 + 0.2t3) Solving 10 = 9.321t + -2.8642t2 + 0.2t3 Solving for variable 't'. Reorder the terms: 10 + -9.321t + 2.8642t2 + -0.2t3 = 9.321t + -9.321t + -2.8642t2 + 2.8642t2 + 0.2t3 + -0.2t3 Combine like terms: 9.321t + -9.321t = 0.000 10 + -9.321t + 2.8642t2 + -0.2t3 = 0.000 + -2.8642t2 + 2.8642t2 + 0.2t3 + -0.2t3 10 + -9.321t + 2.8642t2 + -0.2t3 = -2.8642t2 + 2.8642t2 + 0.2t3 + -0.2t3 Combine like terms: -2.8642t2 + 2.8642t2 = 0.0000 10 + -9.321t + 2.8642t2 + -0.2t3 = 0.0000 + 0.2t3 + -0.2t3 10 + -9.321t + 2.8642t2 + -0.2t3 = 0.2t3 + -0.2t3 Combine like terms: 0.2t3 + -0.2t3 = 0.0 10 + -9.321t + 2.8642t2 + -0.2t3 = 0.0 The solution to this equation could not be determined.
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