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Simplifying 2t2 + 9t + -26 = 0 Reorder the terms: -26 + 9t + 2t2 = 0 Solving -26 + 9t + 2t2 = 0 Solving for variable 't'. Factor a trinomial. (-13 + -2t)(2 + -1t) = 0Subproblem 1
Set the factor '(-13 + -2t)' equal to zero and attempt to solve: Simplifying -13 + -2t = 0 Solving -13 + -2t = 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 + -2t = 0 + 13 Combine like terms: -13 + 13 = 0 0 + -2t = 0 + 13 -2t = 0 + 13 Combine like terms: 0 + 13 = 13 -2t = 13 Divide each side by '-2'. t = -6.5 Simplifying t = -6.5Subproblem 2
Set the factor '(2 + -1t)' equal to zero and attempt to solve: Simplifying 2 + -1t = 0 Solving 2 + -1t = 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 + -1t = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1t = 0 + -2 -1t = 0 + -2 Combine like terms: 0 + -2 = -2 -1t = -2 Divide each side by '-1'. t = 2 Simplifying t = 2Solution
t = {-6.5, 2}
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