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Simplifying 0 = 16t2 + 40t Reorder the terms: 0 = 40t + 16t2 Solving 0 = 40t + 16t2 Solving for variable 't'. Remove the zero: -40t + -16t2 = 40t + 16t2 + -40t + -16t2 Reorder the terms: -40t + -16t2 = 40t + -40t + 16t2 + -16t2 Combine like terms: 40t + -40t = 0 -40t + -16t2 = 0 + 16t2 + -16t2 -40t + -16t2 = 16t2 + -16t2 Combine like terms: 16t2 + -16t2 = 0 -40t + -16t2 = 0 Factor out the Greatest Common Factor (GCF), '-8t'. -8t(5 + 2t) = 0 Ignore the factor -8.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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