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Simplifying -16t2 + 32t + 2688 = 0 Reorder the terms: 2688 + 32t + -16t2 = 0 Solving 2688 + 32t + -16t2 = 0 Solving for variable 't'. Factor out the Greatest Common Factor (GCF), '16'. 16(168 + 2t + -1t2) = 0 Factor a trinomial. 16((14 + -1t)(12 + t)) = 0 Ignore the factor 16.Subproblem 1
Set the factor '(14 + -1t)' equal to zero and attempt to solve: Simplifying 14 + -1t = 0 Solving 14 + -1t = 0 Move all terms containing t to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + -1t = 0 + -14 Combine like terms: 14 + -14 = 0 0 + -1t = 0 + -14 -1t = 0 + -14 Combine like terms: 0 + -14 = -14 -1t = -14 Divide each side by '-1'. t = 14 Simplifying t = 14Subproblem 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 = {14, -12}
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