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Simplifying t2 + -35t + 216 = 0 Reorder the terms: 216 + -35t + t2 = 0 Solving 216 + -35t + t2 = 0 Solving for variable 't'. Factor a trinomial. (8 + -1t)(27 + -1t) = 0Subproblem 1
Set the factor '(8 + -1t)' equal to zero and attempt to solve: Simplifying 8 + -1t = 0 Solving 8 + -1t = 0 Move all terms containing t to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1t = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1t = 0 + -8 -1t = 0 + -8 Combine like terms: 0 + -8 = -8 -1t = -8 Divide each side by '-1'. t = 8 Simplifying t = 8Subproblem 2
Set the factor '(27 + -1t)' equal to zero and attempt to solve: Simplifying 27 + -1t = 0 Solving 27 + -1t = 0 Move all terms containing t to the left, all other terms to the right. Add '-27' to each side of the equation. 27 + -27 + -1t = 0 + -27 Combine like terms: 27 + -27 = 0 0 + -1t = 0 + -27 -1t = 0 + -27 Combine like terms: 0 + -27 = -27 -1t = -27 Divide each side by '-1'. t = 27 Simplifying t = 27Solution
t = {8, 27}
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