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Simplifying -1t2 = 81 + -18t Solving -1t2 = 81 + -18t Solving for variable 't'. Reorder the terms: -81 + 18t + -1t2 = 81 + -18t + -81 + 18t Reorder the terms: -81 + 18t + -1t2 = 81 + -81 + -18t + 18t Combine like terms: 81 + -81 = 0 -81 + 18t + -1t2 = 0 + -18t + 18t -81 + 18t + -1t2 = -18t + 18t Combine like terms: -18t + 18t = 0 -81 + 18t + -1t2 = 0 Factor a trinomial. (-9 + t)(9 + -1t) = 0Subproblem 1
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 = 9Subproblem 2
Set the factor '(9 + -1t)' equal to zero and attempt to solve: Simplifying 9 + -1t = 0 Solving 9 + -1t = 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 + -1t = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1t = 0 + -9 -1t = 0 + -9 Combine like terms: 0 + -9 = -9 -1t = -9 Divide each side by '-1'. t = 9 Simplifying t = 9Solution
t = {9, 9}
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