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Simplifying 9t2 + -35t + 24 = 0 Reorder the terms: 24 + -35t + 9t2 = 0 Solving 24 + -35t + 9t2 = 0 Solving for variable 't'. Factor a trinomial. (8 + -9t)(3 + -1t) = 0Subproblem 1
Set the factor '(8 + -9t)' equal to zero and attempt to solve: Simplifying 8 + -9t = 0 Solving 8 + -9t = 0 Move all terms containing t to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -9t = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -9t = 0 + -8 -9t = 0 + -8 Combine like terms: 0 + -8 = -8 -9t = -8 Divide each side by '-9'. t = 0.8888888889 Simplifying t = 0.8888888889Subproblem 2
Set the factor '(3 + -1t)' equal to zero and attempt to solve: Simplifying 3 + -1t = 0 Solving 3 + -1t = 0 Move all terms containing t to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1t = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1t = 0 + -3 -1t = 0 + -3 Combine like terms: 0 + -3 = -3 -1t = -3 Divide each side by '-1'. t = 3 Simplifying t = 3Solution
t = {0.8888888889, 3}
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