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Simplifying s = -16t2 + 280t + s Reorder the terms: s = s + 280t + -16t2 Add '-1s' to each side of the equation. s + -1s = s + 280t + -1s + -16t2 Combine like terms: s + -1s = 0 0 = s + 280t + -1s + -16t2 Reorder the terms: 0 = s + -1s + 280t + -16t2 Combine like terms: s + -1s = 0 0 = 0 + 280t + -16t2 0 = 280t + -16t2 Solving 0 = 280t + -16t2 Solving for variable 't'. Remove the zero: -280t + 16t2 = 280t + -16t2 + -280t + 16t2 Reorder the terms: -280t + 16t2 = 280t + -280t + -16t2 + 16t2 Combine like terms: 280t + -280t = 0 -280t + 16t2 = 0 + -16t2 + 16t2 -280t + 16t2 = -16t2 + 16t2 Combine like terms: -16t2 + 16t2 = 0 -280t + 16t2 = 0 Factor out the Greatest Common Factor (GCF), '8t'. 8t(-35 + 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 '(-35 + 2t)' equal to zero and attempt to solve: Simplifying -35 + 2t = 0 Solving -35 + 2t = 0 Move all terms containing t to the left, all other terms to the right. Add '35' to each side of the equation. -35 + 35 + 2t = 0 + 35 Combine like terms: -35 + 35 = 0 0 + 2t = 0 + 35 2t = 0 + 35 Combine like terms: 0 + 35 = 35 2t = 35 Divide each side by '2'. t = 17.5 Simplifying t = 17.5Solution
t = {0, 17.5}
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