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Simplifying 0 = -16t2 + 89t Reorder the terms: 0 = 89t + -16t2 Solving 0 = 89t + -16t2 Solving for variable 't'. Remove the zero: -89t + 16t2 = 89t + -16t2 + -89t + 16t2 Reorder the terms: -89t + 16t2 = 89t + -89t + -16t2 + 16t2 Combine like terms: 89t + -89t = 0 -89t + 16t2 = 0 + -16t2 + 16t2 -89t + 16t2 = -16t2 + 16t2 Combine like terms: -16t2 + 16t2 = 0 -89t + 16t2 = 0 Factor out the Greatest Common Factor (GCF), 't'. t(-89 + 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 '(-89 + 16t)' equal to zero and attempt to solve: Simplifying -89 + 16t = 0 Solving -89 + 16t = 0 Move all terms containing t to the left, all other terms to the right. Add '89' to each side of the equation. -89 + 89 + 16t = 0 + 89 Combine like terms: -89 + 89 = 0 0 + 16t = 0 + 89 16t = 0 + 89 Combine like terms: 0 + 89 = 89 16t = 89 Divide each side by '16'. t = 5.5625 Simplifying t = 5.5625Solution
t = {0, 5.5625}
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