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Simplifying -16t2 + 120t = 0 Reorder the terms: 120t + -16t2 = 0 Solving 120t + -16t2 = 0 Solving for variable 't'. 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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