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Simplifying 0 = -16t2 + 85t Reorder the terms: 0 = 85t + -16t2 Solving 0 = 85t + -16t2 Solving for variable 't'. Remove the zero: -85t + 16t2 = 85t + -16t2 + -85t + 16t2 Reorder the terms: -85t + 16t2 = 85t + -85t + -16t2 + 16t2 Combine like terms: 85t + -85t = 0 -85t + 16t2 = 0 + -16t2 + 16t2 -85t + 16t2 = -16t2 + 16t2 Combine like terms: -16t2 + 16t2 = 0 -85t + 16t2 = 0 Factor out the Greatest Common Factor (GCF), 't'. t(-85 + 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 '(-85 + 16t)' equal to zero and attempt to solve: Simplifying -85 + 16t = 0 Solving -85 + 16t = 0 Move all terms containing t to the left, all other terms to the right. Add '85' to each side of the equation. -85 + 85 + 16t = 0 + 85 Combine like terms: -85 + 85 = 0 0 + 16t = 0 + 85 16t = 0 + 85 Combine like terms: 0 + 85 = 85 16t = 85 Divide each side by '16'. t = 5.3125 Simplifying t = 5.3125Solution
t = {0, 5.3125}
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