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Simplifying -16t2 + 80t + 96 = 96 Reorder the terms: 96 + 80t + -16t2 = 96 Add '-96' to each side of the equation. 96 + 80t + -96 + -16t2 = 96 + -96 Reorder the terms: 96 + -96 + 80t + -16t2 = 96 + -96 Combine like terms: 96 + -96 = 0 0 + 80t + -16t2 = 96 + -96 80t + -16t2 = 96 + -96 Combine like terms: 96 + -96 = 0 80t + -16t2 = 0 Solving 80t + -16t2 = 0 Solving for variable 't'. Factor out the Greatest Common Factor (GCF), '16t'. 16t(5 + -1t) = 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 + -1t)' equal to zero and attempt to solve: Simplifying 5 + -1t = 0 Solving 5 + -1t = 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 + -1t = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1t = 0 + -5 -1t = 0 + -5 Combine like terms: 0 + -5 = -5 -1t = -5 Divide each side by '-1'. t = 5 Simplifying t = 5Solution
t = {0, 5}
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