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Simplifying 16t2 + 50t = 20t Reorder the terms: 50t + 16t2 = 20t Solving 50t + 16t2 = 20t Solving for variable 't'. Reorder the terms: 50t + -20t + 16t2 = 20t + -20t Combine like terms: 50t + -20t = 30t 30t + 16t2 = 20t + -20t Combine like terms: 20t + -20t = 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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