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Simplifying 0 = -8t2 + 20t Reorder the terms: 0 = 20t + -8t2 Solving 0 = 20t + -8t2 Solving for variable 't'. Remove the zero: -20t + 8t2 = 20t + -8t2 + -20t + 8t2 Reorder the terms: -20t + 8t2 = 20t + -20t + -8t2 + 8t2 Combine like terms: 20t + -20t = 0 -20t + 8t2 = 0 + -8t2 + 8t2 -20t + 8t2 = -8t2 + 8t2 Combine like terms: -8t2 + 8t2 = 0 -20t + 8t2 = 0 Factor out the Greatest Common Factor (GCF), '4t'. 4t(-5 + 2t) = 0 Ignore the factor 4.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 '(-5 + 2t)' equal to zero and attempt to solve: Simplifying -5 + 2t = 0 Solving -5 + 2t = 0 Move all terms containing t to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 2t = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 2t = 0 + 5 2t = 0 + 5 Combine like terms: 0 + 5 = 5 2t = 5 Divide each side by '2'. t = 2.5 Simplifying t = 2.5Solution
t = {0, 2.5}
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