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Simplifying t = -16t2 + 240t Reorder the terms: t = 240t + -16t2 Solving t = 240t + -16t2 Solving for variable 't'. Combine like terms: t + -240t = -239t -239t + 16t2 = 240t + -16t2 + -240t + 16t2 Reorder the terms: -239t + 16t2 = 240t + -240t + -16t2 + 16t2 Combine like terms: 240t + -240t = 0 -239t + 16t2 = 0 + -16t2 + 16t2 -239t + 16t2 = -16t2 + 16t2 Combine like terms: -16t2 + 16t2 = 0 -239t + 16t2 = 0 Factor out the Greatest Common Factor (GCF), 't'. t(-239 + 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 '(-239 + 16t)' equal to zero and attempt to solve: Simplifying -239 + 16t = 0 Solving -239 + 16t = 0 Move all terms containing t to the left, all other terms to the right. Add '239' to each side of the equation. -239 + 239 + 16t = 0 + 239 Combine like terms: -239 + 239 = 0 0 + 16t = 0 + 239 16t = 0 + 239 Combine like terms: 0 + 239 = 239 16t = 239 Divide each side by '16'. t = 14.9375 Simplifying t = 14.9375Solution
t = {0, 14.9375}
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