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Simplifying 8t2 + -117t + 169 = 0 Reorder the terms: 169 + -117t + 8t2 = 0 Solving 169 + -117t + 8t2 = 0 Solving for variable 't'. Factor a trinomial. (13 + -8t)(13 + -1t) = 0Subproblem 1
Set the factor '(13 + -8t)' equal to zero and attempt to solve: Simplifying 13 + -8t = 0 Solving 13 + -8t = 0 Move all terms containing t to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + -8t = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -8t = 0 + -13 -8t = 0 + -13 Combine like terms: 0 + -13 = -13 -8t = -13 Divide each side by '-8'. t = 1.625 Simplifying t = 1.625Subproblem 2
Set the factor '(13 + -1t)' equal to zero and attempt to solve: Simplifying 13 + -1t = 0 Solving 13 + -1t = 0 Move all terms containing t to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + -1t = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -1t = 0 + -13 -1t = 0 + -13 Combine like terms: 0 + -13 = -13 -1t = -13 Divide each side by '-1'. t = 13 Simplifying t = 13Solution
t = {1.625, 13}
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