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Simplifying -8t2 + 35t + 25 = 0 Reorder the terms: 25 + 35t + -8t2 = 0 Solving 25 + 35t + -8t2 = 0 Solving for variable 't'. Factor a trinomial. (5 + -1t)(5 + 8t) = 0Subproblem 1
Set the factor '(5 + -1t)' equal to zero and attempt to solve: Simplifying 5 + -1t = 0 Solving 5 + -1t = 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 + -1t = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1t = 0 + -5 -1t = 0 + -5 Combine like terms: 0 + -5 = -5 -1t = -5 Divide each side by '-1'. t = 5 Simplifying t = 5Subproblem 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 = {5, -0.625}
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