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Simplifying 8t3 + -24t2 + -2720t = 0 Reorder the terms: -2720t + -24t2 + 8t3 = 0 Solving -2720t + -24t2 + 8t3 = 0 Solving for variable 't'. Factor out the Greatest Common Factor (GCF), '8t'. 8t(-340 + -3t + t2) = 0 Factor a trinomial. 8t((-17 + -1t)(20 + -1t)) = 0 Ignore the factor 8.Subproblem 1
Set the factor 't' equal to zero and attempt to solve: Simplifying t = 0 Solving t = 0 Move all terms containing t to the left, all other terms to the right. Simplifying t = 0Subproblem 2
Set the factor '(-17 + -1t)' equal to zero and attempt to solve: Simplifying -17 + -1t = 0 Solving -17 + -1t = 0 Move all terms containing t to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 17 + -1t = 0 + 17 Combine like terms: -17 + 17 = 0 0 + -1t = 0 + 17 -1t = 0 + 17 Combine like terms: 0 + 17 = 17 -1t = 17 Divide each side by '-1'. t = -17 Simplifying t = -17Subproblem 3
Set the factor '(20 + -1t)' equal to zero and attempt to solve: Simplifying 20 + -1t = 0 Solving 20 + -1t = 0 Move all terms containing t to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + -1t = 0 + -20 Combine like terms: 20 + -20 = 0 0 + -1t = 0 + -20 -1t = 0 + -20 Combine like terms: 0 + -20 = -20 -1t = -20 Divide each side by '-1'. t = 20 Simplifying t = 20Solution
t = {0, -17, 20}
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