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Simplifying 0 = -16t2 + 30t Reorder the terms: 0 = 30t + -16t2 Solving 0 = 30t + -16t2 Solving for variable 't'. Remove the zero: -30t + 16t2 = 30t + -16t2 + -30t + 16t2 Reorder the terms: -30t + 16t2 = 30t + -30t + -16t2 + 16t2 Combine like terms: 30t + -30t = 0 -30t + 16t2 = 0 + -16t2 + 16t2 -30t + 16t2 = -16t2 + 16t2 Combine like terms: -16t2 + 16t2 = 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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