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Simplifying 3t2 = 16t + -5 Reorder the terms: 3t2 = -5 + 16t Solving 3t2 = -5 + 16t Solving for variable 't'. Reorder the terms: 5 + -16t + 3t2 = -5 + 16t + 5 + -16t Reorder the terms: 5 + -16t + 3t2 = -5 + 5 + 16t + -16t Combine like terms: -5 + 5 = 0 5 + -16t + 3t2 = 0 + 16t + -16t 5 + -16t + 3t2 = 16t + -16t Combine like terms: 16t + -16t = 0 5 + -16t + 3t2 = 0 Factor a trinomial. (1 + -3t)(5 + -1t) = 0Subproblem 1
Set the factor '(1 + -3t)' equal to zero and attempt to solve: Simplifying 1 + -3t = 0 Solving 1 + -3t = 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 + -3t = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -3t = 0 + -1 -3t = 0 + -1 Combine like terms: 0 + -1 = -1 -3t = -1 Divide each side by '-3'. t = 0.3333333333 Simplifying t = 0.3333333333Subproblem 2
Set the factor '(5 + -1t)' equal to zero and attempt to solve: Simplifying 5 + -1t = 0 Solving 5 + -1t = 0 Move all terms containing t to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1t = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1t = 0 + -5 -1t = 0 + -5 Combine like terms: 0 + -5 = -5 -1t = -5 Divide each side by '-1'. t = 5 Simplifying t = 5Solution
t = {0.3333333333, 5}
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