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Simplifying (t) = 140t + -16t2 t = 140t + -16t2 Solving t = 140t + -16t2 Solving for variable 't'. Combine like terms: t + -140t = -139t -139t + 16t2 = 140t + -16t2 + -140t + 16t2 Reorder the terms: -139t + 16t2 = 140t + -140t + -16t2 + 16t2 Combine like terms: 140t + -140t = 0 -139t + 16t2 = 0 + -16t2 + 16t2 -139t + 16t2 = -16t2 + 16t2 Combine like terms: -16t2 + 16t2 = 0 -139t + 16t2 = 0 Factor out the Greatest Common Factor (GCF), 't'. t(-139 + 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 '(-139 + 16t)' equal to zero and attempt to solve: Simplifying -139 + 16t = 0 Solving -139 + 16t = 0 Move all terms containing t to the left, all other terms to the right. Add '139' to each side of the equation. -139 + 139 + 16t = 0 + 139 Combine like terms: -139 + 139 = 0 0 + 16t = 0 + 139 16t = 0 + 139 Combine like terms: 0 + 139 = 139 16t = 139 Divide each side by '16'. t = 8.6875 Simplifying t = 8.6875Solution
t = {0, 8.6875}
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