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Simplifying 27t2 + -195t + 350 = 0 Reorder the terms: 350 + -195t + 27t2 = 0 Solving 350 + -195t + 27t2 = 0 Solving for variable 't'. Factor a trinomial. (10 + -3t)(35 + -9t) = 0Subproblem 1
Set the factor '(10 + -3t)' equal to zero and attempt to solve: Simplifying 10 + -3t = 0 Solving 10 + -3t = 0 Move all terms containing t to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -3t = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -3t = 0 + -10 -3t = 0 + -10 Combine like terms: 0 + -10 = -10 -3t = -10 Divide each side by '-3'. t = 3.333333333 Simplifying t = 3.333333333Subproblem 2
Set the factor '(35 + -9t)' equal to zero and attempt to solve: Simplifying 35 + -9t = 0 Solving 35 + -9t = 0 Move all terms containing t to the left, all other terms to the right. Add '-35' to each side of the equation. 35 + -35 + -9t = 0 + -35 Combine like terms: 35 + -35 = 0 0 + -9t = 0 + -35 -9t = 0 + -35 Combine like terms: 0 + -35 = -35 -9t = -35 Divide each side by '-9'. t = 3.888888889 Simplifying t = 3.888888889Solution
t = {3.333333333, 3.888888889}
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