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Simplifying 8t2 + -19t + 11 = 0 Reorder the terms: 11 + -19t + 8t2 = 0 Solving 11 + -19t + 8t2 = 0 Solving for variable 't'. Factor a trinomial. (1 + -1t)(11 + -8t) = 0Subproblem 1
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 = 1Subproblem 2
Set the factor '(11 + -8t)' equal to zero and attempt to solve: Simplifying 11 + -8t = 0 Solving 11 + -8t = 0 Move all terms containing t to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + -8t = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -8t = 0 + -11 -8t = 0 + -11 Combine like terms: 0 + -11 = -11 -8t = -11 Divide each side by '-8'. t = 1.375 Simplifying t = 1.375Solution
t = {1, 1.375}
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