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Simplifying -16t2 + 40t = 10t Reorder the terms: 40t + -16t2 = 10t Solving 40t + -16t2 = 10t Solving for variable 't'. Reorder the terms: 40t + -10t + -16t2 = 10t + -10t Combine like terms: 40t + -10t = 30t 30t + -16t2 = 10t + -10t Combine like terms: 10t + -10t = 0 30t + -16t2 = 0 Factor out the Greatest Common Factor (GCF), '2t'. 2t(15 + -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 '(15 + -8t)' equal to zero and attempt to solve: Simplifying 15 + -8t = 0 Solving 15 + -8t = 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 + -8t = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -8t = 0 + -15 -8t = 0 + -15 Combine like terms: 0 + -15 = -15 -8t = -15 Divide each side by '-8'. t = 1.875 Simplifying t = 1.875Solution
t = {0, 1.875}
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