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Simplifying 3 = -16t2 + -26t Reorder the terms: 3 = -26t + -16t2 Solving 3 = -26t + -16t2 Solving for variable 't'. Reorder the terms: 3 + 26t + 16t2 = -26t + 26t + -16t2 + 16t2 Combine like terms: -26t + 26t = 0 3 + 26t + 16t2 = 0 + -16t2 + 16t2 3 + 26t + 16t2 = -16t2 + 16t2 Combine like terms: -16t2 + 16t2 = 0 3 + 26t + 16t2 = 0 Factor a trinomial. (3 + 2t)(1 + 8t) = 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 '(1 + 8t)' equal to zero and attempt to solve: Simplifying 1 + 8t = 0 Solving 1 + 8t = 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 + 8t = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 8t = 0 + -1 8t = 0 + -1 Combine like terms: 0 + -1 = -1 8t = -1 Divide each side by '8'. t = -0.125 Simplifying t = -0.125Solution
t = {-1.5, -0.125}
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