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Simplifying 2t2 + -1t + -45 = 0 Reorder the terms: -45 + -1t + 2t2 = 0 Solving -45 + -1t + 2t2 = 0 Solving for variable 't'. Factor a trinomial. (-9 + -2t)(5 + -1t) = 0Subproblem 1
Set the factor '(-9 + -2t)' equal to zero and attempt to solve: Simplifying -9 + -2t = 0 Solving -9 + -2t = 0 Move all terms containing t to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + -2t = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -2t = 0 + 9 -2t = 0 + 9 Combine like terms: 0 + 9 = 9 -2t = 9 Divide each side by '-2'. t = -4.5 Simplifying t = -4.5Subproblem 2
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 = 5Solution
t = {-4.5, 5}
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