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Simplifying 16t2 + -1000t = 0 Reorder the terms: -1000t + 16t2 = 0 Solving -1000t + 16t2 = 0 Solving for variable 't'. Factor out the Greatest Common Factor (GCF), '8t'. 8t(-125 + 2t) = 0 Ignore the factor 8.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 + 2t)' equal to zero and attempt to solve: Simplifying -125 + 2t = 0 Solving -125 + 2t = 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 + 2t = 0 + 125 Combine like terms: -125 + 125 = 0 0 + 2t = 0 + 125 2t = 0 + 125 Combine like terms: 0 + 125 = 125 2t = 125 Divide each side by '2'. t = 62.5 Simplifying t = 62.5Solution
t = {0, 62.5}
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