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Simplifying 2t2 + -1t + -55 = 0 Reorder the terms: -55 + -1t + 2t2 = 0 Solving -55 + -1t + 2t2 = 0 Solving for variable 't'. Factor a trinomial. (-5 + -1t)(11 + -2t) = 0Subproblem 1
Set the factor '(-5 + -1t)' equal to zero and attempt to solve: Simplifying -5 + -1t = 0 Solving -5 + -1t = 0 Move all terms containing t to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -1t = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -1t = 0 + 5 -1t = 0 + 5 Combine like terms: 0 + 5 = 5 -1t = 5 Divide each side by '-1'. t = -5 Simplifying t = -5Subproblem 2
Set the factor '(11 + -2t)' equal to zero and attempt to solve: Simplifying 11 + -2t = 0 Solving 11 + -2t = 0 Move all terms containing t to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + -2t = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -2t = 0 + -11 -2t = 0 + -11 Combine like terms: 0 + -11 = -11 -2t = -11 Divide each side by '-2'. t = 5.5 Simplifying t = 5.5Solution
t = {-5, 5.5}
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