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Simplifying -16t2 + 580t = 0 Reorder the terms: 580t + -16t2 = 0 Solving 580t + -16t2 = 0 Solving for variable 't'. Factor out the Greatest Common Factor (GCF), '4t'. 4t(145 + -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 '(145 + -4t)' equal to zero and attempt to solve: Simplifying 145 + -4t = 0 Solving 145 + -4t = 0 Move all terms containing t to the left, all other terms to the right. Add '-145' to each side of the equation. 145 + -145 + -4t = 0 + -145 Combine like terms: 145 + -145 = 0 0 + -4t = 0 + -145 -4t = 0 + -145 Combine like terms: 0 + -145 = -145 -4t = -145 Divide each side by '-4'. t = 36.25 Simplifying t = 36.25Solution
t = {0, 36.25}
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