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Simplifying 550(t) = -16t2 + 208t Reorder the terms: 550t = 208t + -16t2 Solving 550t = 208t + -16t2 Solving for variable 't'. Combine like terms: 550t + -208t = 342t 342t + 16t2 = 208t + -16t2 + -208t + 16t2 Reorder the terms: 342t + 16t2 = 208t + -208t + -16t2 + 16t2 Combine like terms: 208t + -208t = 0 342t + 16t2 = 0 + -16t2 + 16t2 342t + 16t2 = -16t2 + 16t2 Combine like terms: -16t2 + 16t2 = 0 342t + 16t2 = 0 Factor out the Greatest Common Factor (GCF), '2t'. 2t(171 + 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 '(171 + 8t)' equal to zero and attempt to solve: Simplifying 171 + 8t = 0 Solving 171 + 8t = 0 Move all terms containing t to the left, all other terms to the right. Add '-171' to each side of the equation. 171 + -171 + 8t = 0 + -171 Combine like terms: 171 + -171 = 0 0 + 8t = 0 + -171 8t = 0 + -171 Combine like terms: 0 + -171 = -171 8t = -171 Divide each side by '8'. t = -21.375 Simplifying t = -21.375Solution
t = {0, -21.375}
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