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Simplifying (t) = 96t + -16t2 t = 96t + -16t2 Solving t = 96t + -16t2 Solving for variable 't'. Combine like terms: t + -96t = -95t -95t + 16t2 = 96t + -16t2 + -96t + 16t2 Reorder the terms: -95t + 16t2 = 96t + -96t + -16t2 + 16t2 Combine like terms: 96t + -96t = 0 -95t + 16t2 = 0 + -16t2 + 16t2 -95t + 16t2 = -16t2 + 16t2 Combine like terms: -16t2 + 16t2 = 0 -95t + 16t2 = 0 Factor out the Greatest Common Factor (GCF), 't'. t(-95 + 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 '(-95 + 16t)' equal to zero and attempt to solve: Simplifying -95 + 16t = 0 Solving -95 + 16t = 0 Move all terms containing t to the left, all other terms to the right. Add '95' to each side of the equation. -95 + 95 + 16t = 0 + 95 Combine like terms: -95 + 95 = 0 0 + 16t = 0 + 95 16t = 0 + 95 Combine like terms: 0 + 95 = 95 16t = 95 Divide each side by '16'. t = 5.9375 Simplifying t = 5.9375Solution
t = {0, 5.9375}
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