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Simplifying t2 = 12t + -36 Reorder the terms: t2 = -36 + 12t Solving t2 = -36 + 12t Solving for variable 't'. Reorder the terms: 36 + -12t + t2 = -36 + 12t + 36 + -12t Reorder the terms: 36 + -12t + t2 = -36 + 36 + 12t + -12t Combine like terms: -36 + 36 = 0 36 + -12t + t2 = 0 + 12t + -12t 36 + -12t + t2 = 12t + -12t Combine like terms: 12t + -12t = 0 36 + -12t + t2 = 0 Factor a trinomial. (6 + -1t)(6 + -1t) = 0Subproblem 1
Set the factor '(6 + -1t)' equal to zero and attempt to solve: Simplifying 6 + -1t = 0 Solving 6 + -1t = 0 Move all terms containing t to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1t = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1t = 0 + -6 -1t = 0 + -6 Combine like terms: 0 + -6 = -6 -1t = -6 Divide each side by '-1'. t = 6 Simplifying t = 6Subproblem 2
Set the factor '(6 + -1t)' equal to zero and attempt to solve: Simplifying 6 + -1t = 0 Solving 6 + -1t = 0 Move all terms containing t to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1t = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1t = 0 + -6 -1t = 0 + -6 Combine like terms: 0 + -6 = -6 -1t = -6 Divide each side by '-1'. t = 6 Simplifying t = 6Solution
t = {6, 6}
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