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Simplifying 9t2 + 67t + -40 = 0 Reorder the terms: -40 + 67t + 9t2 = 0 Solving -40 + 67t + 9t2 = 0 Solving for variable 't'. Factor a trinomial. (-8 + -1t)(5 + -9t) = 0Subproblem 1
Set the factor '(-8 + -1t)' equal to zero and attempt to solve: Simplifying -8 + -1t = 0 Solving -8 + -1t = 0 Move all terms containing t to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -1t = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -1t = 0 + 8 -1t = 0 + 8 Combine like terms: 0 + 8 = 8 -1t = 8 Divide each side by '-1'. t = -8 Simplifying t = -8Subproblem 2
Set the factor '(5 + -9t)' equal to zero and attempt to solve: Simplifying 5 + -9t = 0 Solving 5 + -9t = 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 + -9t = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -9t = 0 + -5 -9t = 0 + -5 Combine like terms: 0 + -5 = -5 -9t = -5 Divide each side by '-9'. t = 0.5555555556 Simplifying t = 0.5555555556Solution
t = {-8, 0.5555555556}
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