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Simplifying t = -16t2 + 168t Reorder the terms: t = 168t + -16t2 Solving t = 168t + -16t2 Solving for variable 't'. Combine like terms: t + -168t = -167t -167t + 16t2 = 168t + -16t2 + -168t + 16t2 Reorder the terms: -167t + 16t2 = 168t + -168t + -16t2 + 16t2 Combine like terms: 168t + -168t = 0 -167t + 16t2 = 0 + -16t2 + 16t2 -167t + 16t2 = -16t2 + 16t2 Combine like terms: -16t2 + 16t2 = 0 -167t + 16t2 = 0 Factor out the Greatest Common Factor (GCF), 't'. t(-167 + 16t) = 0Subproblem 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 '(-167 + 16t)' equal to zero and attempt to solve: Simplifying -167 + 16t = 0 Solving -167 + 16t = 0 Move all terms containing t to the left, all other terms to the right. Add '167' to each side of the equation. -167 + 167 + 16t = 0 + 167 Combine like terms: -167 + 167 = 0 0 + 16t = 0 + 167 16t = 0 + 167 Combine like terms: 0 + 167 = 167 16t = 167 Divide each side by '16'. t = 10.4375 Simplifying t = 10.4375Solution
t = {0, 10.4375}
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