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Simplifying 81 = -16t2 + 75t Reorder the terms: 81 = 75t + -16t2 Solving 81 = 75t + -16t2 Solving for variable 't'. Reorder the terms: 81 + -75t + 16t2 = 75t + -75t + -16t2 + 16t2 Combine like terms: 75t + -75t = 0 81 + -75t + 16t2 = 0 + -16t2 + 16t2 81 + -75t + 16t2 = -16t2 + 16t2 Combine like terms: -16t2 + 16t2 = 0 81 + -75t + 16t2 = 0 Factor a trinomial. (27 + -16t)(3 + -1t) = 0Subproblem 1
Set the factor '(27 + -16t)' equal to zero and attempt to solve: Simplifying 27 + -16t = 0 Solving 27 + -16t = 0 Move all terms containing t to the left, all other terms to the right. Add '-27' to each side of the equation. 27 + -27 + -16t = 0 + -27 Combine like terms: 27 + -27 = 0 0 + -16t = 0 + -27 -16t = 0 + -27 Combine like terms: 0 + -27 = -27 -16t = -27 Divide each side by '-16'. t = 1.6875 Simplifying t = 1.6875Subproblem 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 = {1.6875, 3}
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