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Simplifying t2 + -1720t + -13824 = 0 Reorder the terms: -13824 + -1720t + t2 = 0 Solving -13824 + -1720t + t2 = 0 Solving for variable 't'. Factor a trinomial. (-8 + -1t)(1728 + -1t) = 0Subproblem 1
Set the factor '(-8 + -1t)' equal to zero and attempt to solve: Simplifying -8 + -1t = 0 Solving -8 + -1t = 0 Move all terms containing t to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -1t = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -1t = 0 + 8 -1t = 0 + 8 Combine like terms: 0 + 8 = 8 -1t = 8 Divide each side by '-1'. t = -8 Simplifying t = -8Subproblem 2
Set the factor '(1728 + -1t)' equal to zero and attempt to solve: Simplifying 1728 + -1t = 0 Solving 1728 + -1t = 0 Move all terms containing t to the left, all other terms to the right. Add '-1728' to each side of the equation. 1728 + -1728 + -1t = 0 + -1728 Combine like terms: 1728 + -1728 = 0 0 + -1t = 0 + -1728 -1t = 0 + -1728 Combine like terms: 0 + -1728 = -1728 -1t = -1728 Divide each side by '-1'. t = 1728 Simplifying t = 1728Solution
t = {-8, 1728}
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