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Simplifying 2t2 + -13 = 11t Reorder the terms: -13 + 2t2 = 11t Solving -13 + 2t2 = 11t Solving for variable 't'. Reorder the terms: -13 + -11t + 2t2 = 11t + -11t Combine like terms: 11t + -11t = 0 -13 + -11t + 2t2 = 0 Factor a trinomial. (-1 + -1t)(13 + -2t) = 0Subproblem 1
Set the factor '(-1 + -1t)' equal to zero and attempt to solve: Simplifying -1 + -1t = 0 Solving -1 + -1t = 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 + -1t = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -1t = 0 + 1 -1t = 0 + 1 Combine like terms: 0 + 1 = 1 -1t = 1 Divide each side by '-1'. t = -1 Simplifying t = -1Subproblem 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 = {-1, 6.5}
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