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Simplifying 9t2 + 61t + -14 = 0 Reorder the terms: -14 + 61t + 9t2 = 0 Solving -14 + 61t + 9t2 = 0 Solving for variable 't'. Factor a trinomial. (-7 + -1t)(2 + -9t) = 0Subproblem 1
Set the factor '(-7 + -1t)' equal to zero and attempt to solve: Simplifying -7 + -1t = 0 Solving -7 + -1t = 0 Move all terms containing t to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -1t = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -1t = 0 + 7 -1t = 0 + 7 Combine like terms: 0 + 7 = 7 -1t = 7 Divide each side by '-1'. t = -7 Simplifying t = -7Subproblem 2
Set the factor '(2 + -9t)' equal to zero and attempt to solve: Simplifying 2 + -9t = 0 Solving 2 + -9t = 0 Move all terms containing t to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -9t = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -9t = 0 + -2 -9t = 0 + -2 Combine like terms: 0 + -2 = -2 -9t = -2 Divide each side by '-9'. t = 0.2222222222 Simplifying t = 0.2222222222Solution
t = {-7, 0.2222222222}
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