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Simplifying 0 = 2500t + -16t2 Solving 0 = 2500t + -16t2 Solving for variable 't'. Remove the zero: -2500t + 16t2 = 2500t + -16t2 + -2500t + 16t2 Reorder the terms: -2500t + 16t2 = 2500t + -2500t + -16t2 + 16t2 Combine like terms: 2500t + -2500t = 0 -2500t + 16t2 = 0 + -16t2 + 16t2 -2500t + 16t2 = -16t2 + 16t2 Combine like terms: -16t2 + 16t2 = 0 -2500t + 16t2 = 0 Factor out the Greatest Common Factor (GCF), '4t'. 4t(-625 + 4t) = 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 '(-625 + 4t)' equal to zero and attempt to solve: Simplifying -625 + 4t = 0 Solving -625 + 4t = 0 Move all terms containing t to the left, all other terms to the right. Add '625' to each side of the equation. -625 + 625 + 4t = 0 + 625 Combine like terms: -625 + 625 = 0 0 + 4t = 0 + 625 4t = 0 + 625 Combine like terms: 0 + 625 = 625 4t = 625 Divide each side by '4'. t = 156.25 Simplifying t = 156.25Solution
t = {0, 156.25}
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