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Simplifying -16t2 + 128t + 2448 = 0 Reorder the terms: 2448 + 128t + -16t2 = 0 Solving 2448 + 128t + -16t2 = 0 Solving for variable 't'. Factor out the Greatest Common Factor (GCF), '16'. 16(153 + 8t + -1t2) = 0 Factor a trinomial. 16((17 + -1t)(9 + t)) = 0 Ignore the factor 16.Subproblem 1
Set the factor '(17 + -1t)' equal to zero and attempt to solve: Simplifying 17 + -1t = 0 Solving 17 + -1t = 0 Move all terms containing t to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + -1t = 0 + -17 Combine like terms: 17 + -17 = 0 0 + -1t = 0 + -17 -1t = 0 + -17 Combine like terms: 0 + -17 = -17 -1t = -17 Divide each side by '-1'. t = 17 Simplifying t = 17Subproblem 2
Set the factor '(9 + t)' equal to zero and attempt to solve: Simplifying 9 + t = 0 Solving 9 + t = 0 Move all terms containing t to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + t = 0 + -9 Combine like terms: 9 + -9 = 0 0 + t = 0 + -9 t = 0 + -9 Combine like terms: 0 + -9 = -9 t = -9 Simplifying t = -9Solution
t = {17, -9}
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