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Simplifying 0 = -16t2 + -72t Reorder the terms: 0 = -72t + -16t2 Solving 0 = -72t + -16t2 Solving for variable 't'. Remove the zero: 72t + 16t2 = -72t + -16t2 + 72t + 16t2 Reorder the terms: 72t + 16t2 = -72t + 72t + -16t2 + 16t2 Combine like terms: -72t + 72t = 0 72t + 16t2 = 0 + -16t2 + 16t2 72t + 16t2 = -16t2 + 16t2 Combine like terms: -16t2 + 16t2 = 0 72t + 16t2 = 0 Factor out the Greatest Common Factor (GCF), '8t'. 8t(9 + 2t) = 0 Ignore the factor 8.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 '(9 + 2t)' equal to zero and attempt to solve: Simplifying 9 + 2t = 0 Solving 9 + 2t = 0 Move all terms containing t to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 2t = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 2t = 0 + -9 2t = 0 + -9 Combine like terms: 0 + -9 = -9 2t = -9 Divide each side by '2'. t = -4.5 Simplifying t = -4.5Solution
t = {0, -4.5}
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