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Simplifying 0 = 16t2 + 120t Reorder the terms: 0 = 120t + 16t2 Solving 0 = 120t + 16t2 Solving for variable 't'. Remove the zero: -120t + -16t2 = 120t + 16t2 + -120t + -16t2 Reorder the terms: -120t + -16t2 = 120t + -120t + 16t2 + -16t2 Combine like terms: 120t + -120t = 0 -120t + -16t2 = 0 + 16t2 + -16t2 -120t + -16t2 = 16t2 + -16t2 Combine like terms: 16t2 + -16t2 = 0 -120t + -16t2 = 0 Factor out the Greatest Common Factor (GCF), '-8t'. -8t(15 + 2t) = 0 Ignore the factor -8.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 '(15 + 2t)' equal to zero and attempt to solve: Simplifying 15 + 2t = 0 Solving 15 + 2t = 0 Move all terms containing t to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + 2t = 0 + -15 Combine like terms: 15 + -15 = 0 0 + 2t = 0 + -15 2t = 0 + -15 Combine like terms: 0 + -15 = -15 2t = -15 Divide each side by '2'. t = -7.5 Simplifying t = -7.5Solution
t = {0, -7.5}
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