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Simplifying 208(t) = -16t2 + 128t Reorder the terms: 208t = 128t + -16t2 Solving 208t = 128t + -16t2 Solving for variable 't'. Combine like terms: 208t + -128t = 80t 80t + 16t2 = 128t + -16t2 + -128t + 16t2 Reorder the terms: 80t + 16t2 = 128t + -128t + -16t2 + 16t2 Combine like terms: 128t + -128t = 0 80t + 16t2 = 0 + -16t2 + 16t2 80t + 16t2 = -16t2 + 16t2 Combine like terms: -16t2 + 16t2 = 0 80t + 16t2 = 0 Factor out the Greatest Common Factor (GCF), '16t'. 16t(5 + t) = 0 Ignore the factor 16.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 '(5 + t)' equal to zero and attempt to solve: Simplifying 5 + t = 0 Solving 5 + t = 0 Move all terms containing t to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + t = 0 + -5 Combine like terms: 5 + -5 = 0 0 + t = 0 + -5 t = 0 + -5 Combine like terms: 0 + -5 = -5 t = -5 Simplifying t = -5Solution
t = {0, -5}
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