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Simplifying 72t2 + -85t + 25 = 0 Reorder the terms: 25 + -85t + 72t2 = 0 Solving 25 + -85t + 72t2 = 0 Solving for variable 't'. Factor a trinomial. (5 + -9t)(5 + -8t) = 0Subproblem 1
Set the factor '(5 + -9t)' equal to zero and attempt to solve: Simplifying 5 + -9t = 0 Solving 5 + -9t = 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 + -9t = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -9t = 0 + -5 -9t = 0 + -5 Combine like terms: 0 + -5 = -5 -9t = -5 Divide each side by '-9'. t = 0.5555555556 Simplifying t = 0.5555555556Subproblem 2
Set the factor '(5 + -8t)' equal to zero and attempt to solve: Simplifying 5 + -8t = 0 Solving 5 + -8t = 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 + -8t = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -8t = 0 + -5 -8t = 0 + -5 Combine like terms: 0 + -5 = -5 -8t = -5 Divide each side by '-8'. t = 0.625 Simplifying t = 0.625Solution
t = {0.5555555556, 0.625}
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