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Simplifying t2 + -340t + 5184 = 0 Reorder the terms: 5184 + -340t + t2 = 0 Solving 5184 + -340t + t2 = 0 Solving for variable 't'. Factor a trinomial. (16 + -1t)(324 + -1t) = 0Subproblem 1
Set the factor '(16 + -1t)' equal to zero and attempt to solve: Simplifying 16 + -1t = 0 Solving 16 + -1t = 0 Move all terms containing t to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + -1t = 0 + -16 Combine like terms: 16 + -16 = 0 0 + -1t = 0 + -16 -1t = 0 + -16 Combine like terms: 0 + -16 = -16 -1t = -16 Divide each side by '-1'. t = 16 Simplifying t = 16Subproblem 2
Set the factor '(324 + -1t)' equal to zero and attempt to solve: Simplifying 324 + -1t = 0 Solving 324 + -1t = 0 Move all terms containing t to the left, all other terms to the right. Add '-324' to each side of the equation. 324 + -324 + -1t = 0 + -324 Combine like terms: 324 + -324 = 0 0 + -1t = 0 + -324 -1t = 0 + -324 Combine like terms: 0 + -324 = -324 -1t = -324 Divide each side by '-1'. t = 324 Simplifying t = 324Solution
t = {16, 324}
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