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Simplifying 0 = 480t + -16t2 Solving 0 = 480t + -16t2 Solving for variable 't'. Remove the zero: -480t + 16t2 = 480t + -16t2 + -480t + 16t2 Reorder the terms: -480t + 16t2 = 480t + -480t + -16t2 + 16t2 Combine like terms: 480t + -480t = 0 -480t + 16t2 = 0 + -16t2 + 16t2 -480t + 16t2 = -16t2 + 16t2 Combine like terms: -16t2 + 16t2 = 0 -480t + 16t2 = 0 Factor out the Greatest Common Factor (GCF), '16t'. 16t(-30 + t) = 0 Ignore the factor 16.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 '(-30 + t)' equal to zero and attempt to solve: Simplifying -30 + t = 0 Solving -30 + t = 0 Move all terms containing t to the left, all other terms to the right. Add '30' to each side of the equation. -30 + 30 + t = 0 + 30 Combine like terms: -30 + 30 = 0 0 + t = 0 + 30 t = 0 + 30 Combine like terms: 0 + 30 = 30 t = 30 Simplifying t = 30Solution
t = {0, 30}
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