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Simplifying t2 + -19t + 18 = 0 Reorder the terms: 18 + -19t + t2 = 0 Solving 18 + -19t + t2 = 0 Solving for variable 't'. Factor a trinomial. (1 + -1t)(18 + -1t) = 0Subproblem 1
Set the factor '(1 + -1t)' equal to zero and attempt to solve: Simplifying 1 + -1t = 0 Solving 1 + -1t = 0 Move all terms containing t to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1t = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1t = 0 + -1 -1t = 0 + -1 Combine like terms: 0 + -1 = -1 -1t = -1 Divide each side by '-1'. t = 1 Simplifying t = 1Subproblem 2
Set the factor '(18 + -1t)' equal to zero and attempt to solve: Simplifying 18 + -1t = 0 Solving 18 + -1t = 0 Move all terms containing t to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + -1t = 0 + -18 Combine like terms: 18 + -18 = 0 0 + -1t = 0 + -18 -1t = 0 + -18 Combine like terms: 0 + -18 = -18 -1t = -18 Divide each side by '-1'. t = 18 Simplifying t = 18Solution
t = {1, 18}
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