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Simplifying 9t2 + 8 = 17t Reorder the terms: 8 + 9t2 = 17t Solving 8 + 9t2 = 17t Solving for variable 't'. Reorder the terms: 8 + -17t + 9t2 = 17t + -17t Combine like terms: 17t + -17t = 0 8 + -17t + 9t2 = 0 Factor a trinomial. (8 + -9t)(1 + -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 '(1 + -1t)' equal to zero and attempt to solve: Simplifying 1 + -1t = 0 Solving 1 + -1t = 0 Move all terms containing t to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1t = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1t = 0 + -1 -1t = 0 + -1 Combine like terms: 0 + -1 = -1 -1t = -1 Divide each side by '-1'. t = 1 Simplifying t = 1Solution
t = {0.8888888889, 1}
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