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Simplifying F(t) = t3 + -8t2 + 16t Multiply F * t tF = t3 + -8t2 + 16t Reorder the terms: tF = 16t + -8t2 + t3 Solving tF = 16t + -8t2 + t3 Solving for variable 't'. Reorder the terms: -16t + tF + 8t2 + -1t3 = 16t + -8t2 + t3 + -16t + 8t2 + -1t3 Reorder the terms: -16t + tF + 8t2 + -1t3 = 16t + -16t + -8t2 + 8t2 + t3 + -1t3 Combine like terms: 16t + -16t = 0 -16t + tF + 8t2 + -1t3 = 0 + -8t2 + 8t2 + t3 + -1t3 -16t + tF + 8t2 + -1t3 = -8t2 + 8t2 + t3 + -1t3 Combine like terms: -8t2 + 8t2 = 0 -16t + tF + 8t2 + -1t3 = 0 + t3 + -1t3 -16t + tF + 8t2 + -1t3 = t3 + -1t3 Combine like terms: t3 + -1t3 = 0 -16t + tF + 8t2 + -1t3 = 0 Factor out the Greatest Common Factor (GCF), 't'. t(-16 + F + 8t + -1t2) = 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 '(-16 + F + 8t + -1t2)' equal to zero and attempt to solve: Simplifying -16 + F + 8t + -1t2 = 0 Solving -16 + F + 8t + -1t2 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
t = {0}
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