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Simplifying 0(t) = -16t2 + 240t Anything times zero is zero. 0t = -16t2 + 240t Reorder the terms: 0 = 240t + -16t2 Solving 0 = 240t + -16t2 Solving for variable 't'. Remove the zero: -240t + 16t2 = 240t + -16t2 + -240t + 16t2 Reorder the terms: -240t + 16t2 = 240t + -240t + -16t2 + 16t2 Combine like terms: 240t + -240t = 0 -240t + 16t2 = 0 + -16t2 + 16t2 -240t + 16t2 = -16t2 + 16t2 Combine like terms: -16t2 + 16t2 = 0 -240t + 16t2 = 0 Factor out the Greatest Common Factor (GCF), '16t'. 16t(-15 + 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 '(-15 + t)' equal to zero and attempt to solve: Simplifying -15 + t = 0 Solving -15 + t = 0 Move all terms containing t to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + t = 0 + 15 Combine like terms: -15 + 15 = 0 0 + t = 0 + 15 t = 0 + 15 Combine like terms: 0 + 15 = 15 t = 15 Simplifying t = 15Solution
t = {0, 15}
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