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Simplifying 6t2 + -43t + 65 = 0 Reorder the terms: 65 + -43t + 6t2 = 0 Solving 65 + -43t + 6t2 = 0 Solving for variable 't'. Factor a trinomial. (13 + -6t)(5 + -1t) = 0Subproblem 1
Set the factor '(13 + -6t)' equal to zero and attempt to solve: Simplifying 13 + -6t = 0 Solving 13 + -6t = 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 + -6t = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -6t = 0 + -13 -6t = 0 + -13 Combine like terms: 0 + -13 = -13 -6t = -13 Divide each side by '-6'. t = 2.166666667 Simplifying t = 2.166666667Subproblem 2
Set the factor '(5 + -1t)' equal to zero and attempt to solve: Simplifying 5 + -1t = 0 Solving 5 + -1t = 0 Move all terms containing t to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1t = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1t = 0 + -5 -1t = 0 + -5 Combine like terms: 0 + -5 = -5 -1t = -5 Divide each side by '-1'. t = 5 Simplifying t = 5Solution
t = {2.166666667, 5}
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