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Simplifying 3t2 + 19t + 26 = 0 Reorder the terms: 26 + 19t + 3t2 = 0 Solving 26 + 19t + 3t2 = 0 Solving for variable 't'. Factor a trinomial. (13 + 3t)(2 + t) = 0Subproblem 1
Set the factor '(13 + 3t)' equal to zero and attempt to solve: Simplifying 13 + 3t = 0 Solving 13 + 3t = 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 + 3t = 0 + -13 Combine like terms: 13 + -13 = 0 0 + 3t = 0 + -13 3t = 0 + -13 Combine like terms: 0 + -13 = -13 3t = -13 Divide each side by '3'. t = -4.333333333 Simplifying t = -4.333333333Subproblem 2
Set the factor '(2 + t)' equal to zero and attempt to solve: Simplifying 2 + t = 0 Solving 2 + t = 0 Move all terms containing t to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + t = 0 + -2 Combine like terms: 2 + -2 = 0 0 + t = 0 + -2 t = 0 + -2 Combine like terms: 0 + -2 = -2 t = -2 Simplifying t = -2Solution
t = {-4.333333333, -2}
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