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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. (-2 + -1t)(13 + -2t) = 0Subproblem 1
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 = -2Subproblem 2
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 = 6.5Solution
t = {-2, 6.5}
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