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Simplifying 8t2 + -14t + -39 = 0 Reorder the terms: -39 + -14t + 8t2 = 0 Solving -39 + -14t + 8t2 = 0 Solving for variable 't'. Factor a trinomial. (-3 + -2t)(13 + -4t) = 0Subproblem 1
Set the factor '(-3 + -2t)' equal to zero and attempt to solve: Simplifying -3 + -2t = 0 Solving -3 + -2t = 0 Move all terms containing t to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -2t = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -2t = 0 + 3 -2t = 0 + 3 Combine like terms: 0 + 3 = 3 -2t = 3 Divide each side by '-2'. t = -1.5 Simplifying t = -1.5Subproblem 2
Set the factor '(13 + -4t)' equal to zero and attempt to solve: Simplifying 13 + -4t = 0 Solving 13 + -4t = 0 Move all terms containing t to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + -4t = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -4t = 0 + -13 -4t = 0 + -13 Combine like terms: 0 + -13 = -13 -4t = -13 Divide each side by '-4'. t = 3.25 Simplifying t = 3.25Solution
t = {-1.5, 3.25}
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