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Simplifying t2 = 6t + -9 Reorder the terms: t2 = -9 + 6t Solving t2 = -9 + 6t Solving for variable 't'. Reorder the terms: 9 + -6t + t2 = -9 + 6t + 9 + -6t Reorder the terms: 9 + -6t + t2 = -9 + 9 + 6t + -6t Combine like terms: -9 + 9 = 0 9 + -6t + t2 = 0 + 6t + -6t 9 + -6t + t2 = 6t + -6t Combine like terms: 6t + -6t = 0 9 + -6t + t2 = 0 Factor a trinomial. (3 + -1t)(3 + -1t) = 0Subproblem 1
Set the factor '(3 + -1t)' equal to zero and attempt to solve: Simplifying 3 + -1t = 0 Solving 3 + -1t = 0 Move all terms containing t to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1t = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1t = 0 + -3 -1t = 0 + -3 Combine like terms: 0 + -3 = -3 -1t = -3 Divide each side by '-1'. t = 3 Simplifying t = 3Subproblem 2
Set the factor '(3 + -1t)' equal to zero and attempt to solve: Simplifying 3 + -1t = 0 Solving 3 + -1t = 0 Move all terms containing t to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1t = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1t = 0 + -3 -1t = 0 + -3 Combine like terms: 0 + -3 = -3 -1t = -3 Divide each side by '-1'. t = 3 Simplifying t = 3Solution
t = {3, 3}
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