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Simplifying 9t2 = 18t + 7 Reorder the terms: 9t2 = 7 + 18t Solving 9t2 = 7 + 18t Solving for variable 't'. Reorder the terms: -7 + -18t + 9t2 = 7 + 18t + -7 + -18t Reorder the terms: -7 + -18t + 9t2 = 7 + -7 + 18t + -18t Combine like terms: 7 + -7 = 0 -7 + -18t + 9t2 = 0 + 18t + -18t -7 + -18t + 9t2 = 18t + -18t Combine like terms: 18t + -18t = 0 -7 + -18t + 9t2 = 0 Factor a trinomial. (-1 + -3t)(7 + -3t) = 0Subproblem 1
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 = -0.3333333333Subproblem 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 = {-0.3333333333, 2.333333333}
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