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Simplifying -6t2 + 13t + 5 = 0 Reorder the terms: 5 + 13t + -6t2 = 0 Solving 5 + 13t + -6t2 = 0 Solving for variable 't'. Factor a trinomial. (5 + -2t)(1 + 3t) = 0Subproblem 1
Set the factor '(5 + -2t)' equal to zero and attempt to solve: Simplifying 5 + -2t = 0 Solving 5 + -2t = 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 + -2t = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -2t = 0 + -5 -2t = 0 + -5 Combine like terms: 0 + -5 = -5 -2t = -5 Divide each side by '-2'. t = 2.5 Simplifying t = 2.5Subproblem 2
Set the factor '(1 + 3t)' equal to zero and attempt to solve: Simplifying 1 + 3t = 0 Solving 1 + 3t = 0 Move all terms containing t to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 3t = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 3t = 0 + -1 3t = 0 + -1 Combine like terms: 0 + -1 = -1 3t = -1 Divide each side by '3'. t = -0.3333333333 Simplifying t = -0.3333333333Solution
t = {2.5, -0.3333333333}
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