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Simplifying (t) = 110t + -16t2 t = 110t + -16t2 Solving t = 110t + -16t2 Solving for variable 't'. Combine like terms: t + -110t = -109t -109t + 16t2 = 110t + -16t2 + -110t + 16t2 Reorder the terms: -109t + 16t2 = 110t + -110t + -16t2 + 16t2 Combine like terms: 110t + -110t = 0 -109t + 16t2 = 0 + -16t2 + 16t2 -109t + 16t2 = -16t2 + 16t2 Combine like terms: -16t2 + 16t2 = 0 -109t + 16t2 = 0 Factor out the Greatest Common Factor (GCF), 't'. t(-109 + 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 '(-109 + 16t)' equal to zero and attempt to solve: Simplifying -109 + 16t = 0 Solving -109 + 16t = 0 Move all terms containing t to the left, all other terms to the right. Add '109' to each side of the equation. -109 + 109 + 16t = 0 + 109 Combine like terms: -109 + 109 = 0 0 + 16t = 0 + 109 16t = 0 + 109 Combine like terms: 0 + 109 = 109 16t = 109 Divide each side by '16'. t = 6.8125 Simplifying t = 6.8125Solution
t = {0, 6.8125}
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