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Simplifying t2 + -17t + 81 = t Reorder the terms: 81 + -17t + t2 = t Solving 81 + -17t + t2 = t Solving for variable 't'. Reorder the terms: 81 + -17t + -1t + t2 = t + -1t Combine like terms: -17t + -1t = -18t 81 + -18t + t2 = t + -1t Combine like terms: t + -1t = 0 81 + -18t + t2 = 0 Factor a trinomial. (9 + -1t)(9 + -1t) = 0Subproblem 1
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 = 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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