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Simplifying 16t2 + -230t = 0 Reorder the terms: -230t + 16t2 = 0 Solving -230t + 16t2 = 0 Solving for variable 't'. Factor out the Greatest Common Factor (GCF), '2t'. 2t(-115 + 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 '(-115 + 8t)' equal to zero and attempt to solve: Simplifying -115 + 8t = 0 Solving -115 + 8t = 0 Move all terms containing t to the left, all other terms to the right. Add '115' to each side of the equation. -115 + 115 + 8t = 0 + 115 Combine like terms: -115 + 115 = 0 0 + 8t = 0 + 115 8t = 0 + 115 Combine like terms: 0 + 115 = 115 8t = 115 Divide each side by '8'. t = 14.375 Simplifying t = 14.375Solution
t = {0, 14.375}
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