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Simplifying 9t2 + -15t + -14 = 0 Reorder the terms: -14 + -15t + 9t2 = 0 Solving -14 + -15t + 9t2 = 0 Solving for variable 't'. Factor a trinomial. (-2 + -3t)(7 + -3t) = 0Subproblem 1
Set the factor '(-2 + -3t)' equal to zero and attempt to solve: Simplifying -2 + -3t = 0 Solving -2 + -3t = 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 + -3t = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -3t = 0 + 2 -3t = 0 + 2 Combine like terms: 0 + 2 = 2 -3t = 2 Divide each side by '-3'. t = -0.6666666667 Simplifying t = -0.6666666667Subproblem 2
Set the factor '(7 + -3t)' equal to zero and attempt to solve: Simplifying 7 + -3t = 0 Solving 7 + -3t = 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 + -3t = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -3t = 0 + -7 -3t = 0 + -7 Combine like terms: 0 + -7 = -7 -3t = -7 Divide each side by '-3'. t = 2.333333333 Simplifying t = 2.333333333Solution
t = {-0.6666666667, 2.333333333}
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