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Simplifying 9t2 + -1t + -8 = 0 Reorder the terms: -8 + -1t + 9t2 = 0 Solving -8 + -1t + 9t2 = 0 Solving for variable 't'. Factor a trinomial. (-8 + -9t)(1 + -1t) = 0Subproblem 1
Set the factor '(-8 + -9t)' equal to zero and attempt to solve: Simplifying -8 + -9t = 0 Solving -8 + -9t = 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 + -9t = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -9t = 0 + 8 -9t = 0 + 8 Combine like terms: 0 + 8 = 8 -9t = 8 Divide each side by '-9'. t = -0.8888888889 Simplifying t = -0.8888888889Subproblem 2
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 = 1Solution
t = {-0.8888888889, 1}
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