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Simplifying 0 = 125t + -16t2 Solving 0 = 125t + -16t2 Solving for variable 't'. Remove the zero: -125t + 16t2 = 125t + -16t2 + -125t + 16t2 Reorder the terms: -125t + 16t2 = 125t + -125t + -16t2 + 16t2 Combine like terms: 125t + -125t = 0 -125t + 16t2 = 0 + -16t2 + 16t2 -125t + 16t2 = -16t2 + 16t2 Combine like terms: -16t2 + 16t2 = 0 -125t + 16t2 = 0 Factor out the Greatest Common Factor (GCF), 't'. t(-125 + 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 '(-125 + 16t)' equal to zero and attempt to solve: Simplifying -125 + 16t = 0 Solving -125 + 16t = 0 Move all terms containing t to the left, all other terms to the right. Add '125' to each side of the equation. -125 + 125 + 16t = 0 + 125 Combine like terms: -125 + 125 = 0 0 + 16t = 0 + 125 16t = 0 + 125 Combine like terms: 0 + 125 = 125 16t = 125 Divide each side by '16'. t = 7.8125 Simplifying t = 7.8125Solution
t = {0, 7.8125}
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