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Simplifying 0 = -16t2 + 250t Reorder the terms: 0 = 250t + -16t2 Solving 0 = 250t + -16t2 Solving for variable 't'. Remove the zero: -250t + 16t2 = 250t + -16t2 + -250t + 16t2 Reorder the terms: -250t + 16t2 = 250t + -250t + -16t2 + 16t2 Combine like terms: 250t + -250t = 0 -250t + 16t2 = 0 + -16t2 + 16t2 -250t + 16t2 = -16t2 + 16t2 Combine like terms: -16t2 + 16t2 = 0 -250t + 16t2 = 0 Factor out the Greatest Common Factor (GCF), '2t'. 2t(-125 + 8t) = 0 Ignore the factor 2.Subproblem 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 '(-125 + 8t)' equal to zero and attempt to solve: Simplifying -125 + 8t = 0 Solving -125 + 8t = 0 Move all terms containing t to the left, all other terms to the right. Add '125' to each side of the equation. -125 + 125 + 8t = 0 + 125 Combine like terms: -125 + 125 = 0 0 + 8t = 0 + 125 8t = 0 + 125 Combine like terms: 0 + 125 = 125 8t = 125 Divide each side by '8'. t = 15.625 Simplifying t = 15.625Solution
t = {0, 15.625}
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