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Simplifying 125(t) = -16t2 + 160t Reorder the terms: 125t = 160t + -16t2 Solving 125t = 160t + -16t2 Solving for variable 't'. Combine like terms: 125t + -160t = -35t -35t + 16t2 = 160t + -16t2 + -160t + 16t2 Reorder the terms: -35t + 16t2 = 160t + -160t + -16t2 + 16t2 Combine like terms: 160t + -160t = 0 -35t + 16t2 = 0 + -16t2 + 16t2 -35t + 16t2 = -16t2 + 16t2 Combine like terms: -16t2 + 16t2 = 0 -35t + 16t2 = 0 Factor out the Greatest Common Factor (GCF), 't'. t(-35 + 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 '(-35 + 16t)' equal to zero and attempt to solve: Simplifying -35 + 16t = 0 Solving -35 + 16t = 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 + 16t = 0 + 35 Combine like terms: -35 + 35 = 0 0 + 16t = 0 + 35 16t = 0 + 35 Combine like terms: 0 + 35 = 35 16t = 35 Divide each side by '16'. t = 2.1875 Simplifying t = 2.1875Solution
t = {0, 2.1875}
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