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Simplifying -9t2 + -60t + -19 = 0 Reorder the terms: -19 + -60t + -9t2 = 0 Solving -19 + -60t + -9t2 = 0 Solving for variable 't'. Factor out the Greatest Common Factor (GCF), '-1'. -1(19 + 60t + 9t2) = 0 Factor a trinomial. -1((19 + 3t)(1 + 3t)) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(19 + 3t)' equal to zero and attempt to solve: Simplifying 19 + 3t = 0 Solving 19 + 3t = 0 Move all terms containing t to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + 3t = 0 + -19 Combine like terms: 19 + -19 = 0 0 + 3t = 0 + -19 3t = 0 + -19 Combine like terms: 0 + -19 = -19 3t = -19 Divide each side by '3'. t = -6.333333333 Simplifying t = -6.333333333Subproblem 2
Set the factor '(1 + 3t)' equal to zero and attempt to solve: Simplifying 1 + 3t = 0 Solving 1 + 3t = 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 + 3t = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 3t = 0 + -1 3t = 0 + -1 Combine like terms: 0 + -1 = -1 3t = -1 Divide each side by '3'. t = -0.3333333333 Simplifying t = -0.3333333333Solution
t = {-6.333333333, -0.3333333333}
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