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Simplifying 100(t) = -16t2 + 80t Reorder the terms: 100t = 80t + -16t2 Solving 100t = 80t + -16t2 Solving for variable 't'. Combine like terms: 100t + -80t = 20t 20t + 16t2 = 80t + -16t2 + -80t + 16t2 Reorder the terms: 20t + 16t2 = 80t + -80t + -16t2 + 16t2 Combine like terms: 80t + -80t = 0 20t + 16t2 = 0 + -16t2 + 16t2 20t + 16t2 = -16t2 + 16t2 Combine like terms: -16t2 + 16t2 = 0 20t + 16t2 = 0 Factor out the Greatest Common Factor (GCF), '4t'. 4t(5 + 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 '(5 + 4t)' equal to zero and attempt to solve: Simplifying 5 + 4t = 0 Solving 5 + 4t = 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 + 4t = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 4t = 0 + -5 4t = 0 + -5 Combine like terms: 0 + -5 = -5 4t = -5 Divide each side by '4'. t = -1.25 Simplifying t = -1.25Solution
t = {0, -1.25}
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