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Simplifying 0 = 192t + -16t2 Solving 0 = 192t + -16t2 Solving for variable 't'. Remove the zero: -192t + 16t2 = 192t + -16t2 + -192t + 16t2 Reorder the terms: -192t + 16t2 = 192t + -192t + -16t2 + 16t2 Combine like terms: 192t + -192t = 0 -192t + 16t2 = 0 + -16t2 + 16t2 -192t + 16t2 = -16t2 + 16t2 Combine like terms: -16t2 + 16t2 = 0 -192t + 16t2 = 0 Factor out the Greatest Common Factor (GCF), '16t'. 16t(-12 + 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 '(-12 + t)' equal to zero and attempt to solve: Simplifying -12 + t = 0 Solving -12 + t = 0 Move all terms containing t to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + t = 0 + 12 Combine like terms: -12 + 12 = 0 0 + t = 0 + 12 t = 0 + 12 Combine like terms: 0 + 12 = 12 t = 12 Simplifying t = 12Solution
t = {0, 12}
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