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Simplifying 96 = 96 + 80t + -16t2 Add '-96' to each side of the equation. 96 + -96 = 96 + 80t + -96 + -16t2 Combine like terms: 96 + -96 = 0 0 = 96 + 80t + -96 + -16t2 Reorder the terms: 0 = 96 + -96 + 80t + -16t2 Combine like terms: 96 + -96 = 0 0 = 0 + 80t + -16t2 0 = 80t + -16t2 Solving 0 = 80t + -16t2 Solving for variable 't'. Remove the zero: -80t + 16t2 = 80t + -16t2 + -80t + 16t2 Reorder the terms: -80t + 16t2 = 80t + -80t + -16t2 + 16t2 Combine like terms: 80t + -80t = 0 -80t + 16t2 = 0 + -16t2 + 16t2 -80t + 16t2 = -16t2 + 16t2 Combine like terms: -16t2 + 16t2 = 0 -80t + 16t2 = 0 Factor out the Greatest Common Factor (GCF), '16t'. 16t(-5 + 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 '(-5 + t)' equal to zero and attempt to solve: Simplifying -5 + t = 0 Solving -5 + t = 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 + t = 0 + 5 Combine like terms: -5 + 5 = 0 0 + t = 0 + 5 t = 0 + 5 Combine like terms: 0 + 5 = 5 t = 5 Simplifying t = 5Solution
t = {0, 5}
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