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Simplifying 3t2 + -1t + -102 = 0 Reorder the terms: -102 + -1t + 3t2 = 0 Solving -102 + -1t + 3t2 = 0 Solving for variable 't'. Factor a trinomial. (-17 + -3t)(6 + -1t) = 0Subproblem 1
Set the factor '(-17 + -3t)' equal to zero and attempt to solve: Simplifying -17 + -3t = 0 Solving -17 + -3t = 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 + -3t = 0 + 17 Combine like terms: -17 + 17 = 0 0 + -3t = 0 + 17 -3t = 0 + 17 Combine like terms: 0 + 17 = 17 -3t = 17 Divide each side by '-3'. t = -5.666666667 Simplifying t = -5.666666667Subproblem 2
Set the factor '(6 + -1t)' equal to zero and attempt to solve: Simplifying 6 + -1t = 0 Solving 6 + -1t = 0 Move all terms containing t to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1t = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1t = 0 + -6 -1t = 0 + -6 Combine like terms: 0 + -6 = -6 -1t = -6 Divide each side by '-1'. t = 6 Simplifying t = 6Solution
t = {-5.666666667, 6}
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