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Simplifying t = -16t2 + 135t Reorder the terms: t = 135t + -16t2 Solving t = 135t + -16t2 Solving for variable 't'. Combine like terms: t + -135t = -134t -134t + 16t2 = 135t + -16t2 + -135t + 16t2 Reorder the terms: -134t + 16t2 = 135t + -135t + -16t2 + 16t2 Combine like terms: 135t + -135t = 0 -134t + 16t2 = 0 + -16t2 + 16t2 -134t + 16t2 = -16t2 + 16t2 Combine like terms: -16t2 + 16t2 = 0 -134t + 16t2 = 0 Factor out the Greatest Common Factor (GCF), '2t'. 2t(-67 + 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 '(-67 + 8t)' equal to zero and attempt to solve: Simplifying -67 + 8t = 0 Solving -67 + 8t = 0 Move all terms containing t to the left, all other terms to the right. Add '67' to each side of the equation. -67 + 67 + 8t = 0 + 67 Combine like terms: -67 + 67 = 0 0 + 8t = 0 + 67 8t = 0 + 67 Combine like terms: 0 + 67 = 67 8t = 67 Divide each side by '8'. t = 8.375 Simplifying t = 8.375Solution
t = {0, 8.375}
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