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Simplifying 900 = -16t2 + 250t Reorder the terms: 900 = 250t + -16t2 Solving 900 = 250t + -16t2 Solving for variable 't'. Reorder the terms: 900 + -250t + 16t2 = 250t + -250t + -16t2 + 16t2 Combine like terms: 250t + -250t = 0 900 + -250t + 16t2 = 0 + -16t2 + 16t2 900 + -250t + 16t2 = -16t2 + 16t2 Combine like terms: -16t2 + 16t2 = 0 900 + -250t + 16t2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(450 + -125t + 8t2) = 0 Factor a trinomial. 2((45 + -8t)(10 + -1t)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(45 + -8t)' equal to zero and attempt to solve: Simplifying 45 + -8t = 0 Solving 45 + -8t = 0 Move all terms containing t to the left, all other terms to the right. Add '-45' to each side of the equation. 45 + -45 + -8t = 0 + -45 Combine like terms: 45 + -45 = 0 0 + -8t = 0 + -45 -8t = 0 + -45 Combine like terms: 0 + -45 = -45 -8t = -45 Divide each side by '-8'. t = 5.625 Simplifying t = 5.625Subproblem 2
Set the factor '(10 + -1t)' equal to zero and attempt to solve: Simplifying 10 + -1t = 0 Solving 10 + -1t = 0 Move all terms containing t to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -1t = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -1t = 0 + -10 -1t = 0 + -10 Combine like terms: 0 + -10 = -10 -1t = -10 Divide each side by '-1'. t = 10 Simplifying t = 10Solution
t = {5.625, 10}
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