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Simplifying 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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