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Simplifying t = 35t + -16t2 Solving t = 35t + -16t2 Solving for variable 't'. Combine like terms: t + -35t = -34t -34t + 16t2 = 35t + -16t2 + -35t + 16t2 Reorder the terms: -34t + 16t2 = 35t + -35t + -16t2 + 16t2 Combine like terms: 35t + -35t = 0 -34t + 16t2 = 0 + -16t2 + 16t2 -34t + 16t2 = -16t2 + 16t2 Combine like terms: -16t2 + 16t2 = 0 -34t + 16t2 = 0 Factor out the Greatest Common Factor (GCF), '2t'. 2t(-17 + 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 '(-17 + 8t)' equal to zero and attempt to solve: Simplifying -17 + 8t = 0 Solving -17 + 8t = 0 Move all terms containing t to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 17 + 8t = 0 + 17 Combine like terms: -17 + 17 = 0 0 + 8t = 0 + 17 8t = 0 + 17 Combine like terms: 0 + 17 = 17 8t = 17 Divide each side by '8'. t = 2.125 Simplifying t = 2.125Solution
t = {0, 2.125}
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