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Simplifying t = -16t2 + 82t Reorder the terms: t = 82t + -16t2 Solving t = 82t + -16t2 Solving for variable 't'. Combine like terms: t + -82t = -81t -81t + 16t2 = 82t + -16t2 + -82t + 16t2 Reorder the terms: -81t + 16t2 = 82t + -82t + -16t2 + 16t2 Combine like terms: 82t + -82t = 0 -81t + 16t2 = 0 + -16t2 + 16t2 -81t + 16t2 = -16t2 + 16t2 Combine like terms: -16t2 + 16t2 = 0 -81t + 16t2 = 0 Factor out the Greatest Common Factor (GCF), 't'. t(-81 + 16t) = 0Subproblem 1
Set the factor 't' equal to zero and attempt to solve: Simplifying t = 0 Solving t = 0 Move all terms containing t to the left, all other terms to the right. Simplifying t = 0Subproblem 2
Set the factor '(-81 + 16t)' equal to zero and attempt to solve: Simplifying -81 + 16t = 0 Solving -81 + 16t = 0 Move all terms containing t to the left, all other terms to the right. Add '81' to each side of the equation. -81 + 81 + 16t = 0 + 81 Combine like terms: -81 + 81 = 0 0 + 16t = 0 + 81 16t = 0 + 81 Combine like terms: 0 + 81 = 81 16t = 81 Divide each side by '16'. t = 5.0625 Simplifying t = 5.0625Solution
t = {0, 5.0625}
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