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Simplifying t2 + -99t + 2430 = 0 Reorder the terms: 2430 + -99t + t2 = 0 Solving 2430 + -99t + t2 = 0 Solving for variable 't'. Factor a trinomial. (45 + -1t)(54 + -1t) = 0Subproblem 1
Set the factor '(45 + -1t)' equal to zero and attempt to solve: Simplifying 45 + -1t = 0 Solving 45 + -1t = 0 Move all terms containing t to the left, all other terms to the right. Add '-45' to each side of the equation. 45 + -45 + -1t = 0 + -45 Combine like terms: 45 + -45 = 0 0 + -1t = 0 + -45 -1t = 0 + -45 Combine like terms: 0 + -45 = -45 -1t = -45 Divide each side by '-1'. t = 45 Simplifying t = 45Subproblem 2
Set the factor '(54 + -1t)' equal to zero and attempt to solve: Simplifying 54 + -1t = 0 Solving 54 + -1t = 0 Move all terms containing t to the left, all other terms to the right. Add '-54' to each side of the equation. 54 + -54 + -1t = 0 + -54 Combine like terms: 54 + -54 = 0 0 + -1t = 0 + -54 -1t = 0 + -54 Combine like terms: 0 + -54 = -54 -1t = -54 Divide each side by '-1'. t = 54 Simplifying t = 54Solution
t = {45, 54}
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