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Simplifying 9t2 + 13t + -120 = 0 Reorder the terms: -120 + 13t + 9t2 = 0 Solving -120 + 13t + 9t2 = 0 Solving for variable 't'. Factor a trinomial. (-40 + -9t)(3 + -1t) = 0Subproblem 1
Set the factor '(-40 + -9t)' equal to zero and attempt to solve: Simplifying -40 + -9t = 0 Solving -40 + -9t = 0 Move all terms containing t to the left, all other terms to the right. Add '40' to each side of the equation. -40 + 40 + -9t = 0 + 40 Combine like terms: -40 + 40 = 0 0 + -9t = 0 + 40 -9t = 0 + 40 Combine like terms: 0 + 40 = 40 -9t = 40 Divide each side by '-9'. t = -4.444444444 Simplifying t = -4.444444444Subproblem 2
Set the factor '(3 + -1t)' equal to zero and attempt to solve: Simplifying 3 + -1t = 0 Solving 3 + -1t = 0 Move all terms containing t to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1t = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1t = 0 + -3 -1t = 0 + -3 Combine like terms: 0 + -3 = -3 -1t = -3 Divide each side by '-1'. t = 3 Simplifying t = 3Solution
t = {-4.444444444, 3}
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