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Simplifying -16t2 = -79t + -5 Reorder the terms: -16t2 = -5 + -79t Solving -16t2 = -5 + -79t Solving for variable 't'. Reorder the terms: 5 + 79t + -16t2 = -5 + -79t + 5 + 79t Reorder the terms: 5 + 79t + -16t2 = -5 + 5 + -79t + 79t Combine like terms: -5 + 5 = 0 5 + 79t + -16t2 = 0 + -79t + 79t 5 + 79t + -16t2 = -79t + 79t Combine like terms: -79t + 79t = 0 5 + 79t + -16t2 = 0 Factor a trinomial. (5 + -1t)(1 + 16t) = 0Subproblem 1
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 = 5Subproblem 2
Set the factor '(1 + 16t)' equal to zero and attempt to solve: Simplifying 1 + 16t = 0 Solving 1 + 16t = 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 + 16t = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 16t = 0 + -1 16t = 0 + -1 Combine like terms: 0 + -1 = -1 16t = -1 Divide each side by '16'. t = -0.0625 Simplifying t = -0.0625Solution
t = {5, -0.0625}
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