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Simplifying 0 = 39t + -16t2 Solving 0 = 39t + -16t2 Solving for variable 't'. Remove the zero: -39t + 16t2 = 39t + -16t2 + -39t + 16t2 Reorder the terms: -39t + 16t2 = 39t + -39t + -16t2 + 16t2 Combine like terms: 39t + -39t = 0 -39t + 16t2 = 0 + -16t2 + 16t2 -39t + 16t2 = -16t2 + 16t2 Combine like terms: -16t2 + 16t2 = 0 -39t + 16t2 = 0 Factor out the Greatest Common Factor (GCF), 't'. t(-39 + 16t) = 0Subproblem 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 '(-39 + 16t)' equal to zero and attempt to solve: Simplifying -39 + 16t = 0 Solving -39 + 16t = 0 Move all terms containing t to the left, all other terms to the right. Add '39' to each side of the equation. -39 + 39 + 16t = 0 + 39 Combine like terms: -39 + 39 = 0 0 + 16t = 0 + 39 16t = 0 + 39 Combine like terms: 0 + 39 = 39 16t = 39 Divide each side by '16'. t = 2.4375 Simplifying t = 2.4375Solution
t = {0, 2.4375}
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