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Simplifying 2t2 = -13t + -20 Reorder the terms: 2t2 = -20 + -13t Solving 2t2 = -20 + -13t Solving for variable 't'. Reorder the terms: 20 + 13t + 2t2 = -20 + -13t + 20 + 13t Reorder the terms: 20 + 13t + 2t2 = -20 + 20 + -13t + 13t Combine like terms: -20 + 20 = 0 20 + 13t + 2t2 = 0 + -13t + 13t 20 + 13t + 2t2 = -13t + 13t Combine like terms: -13t + 13t = 0 20 + 13t + 2t2 = 0 Factor a trinomial. (4 + t)(5 + 2t) = 0Subproblem 1
Set the factor '(4 + t)' equal to zero and attempt to solve: Simplifying 4 + t = 0 Solving 4 + t = 0 Move all terms containing t to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + t = 0 + -4 Combine like terms: 4 + -4 = 0 0 + t = 0 + -4 t = 0 + -4 Combine like terms: 0 + -4 = -4 t = -4 Simplifying t = -4Subproblem 2
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 = -2.5Solution
t = {-4, -2.5}
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