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Simplifying t2 = 22t + -21 Reorder the terms: t2 = -21 + 22t Solving t2 = -21 + 22t Solving for variable 't'. Reorder the terms: 21 + -22t + t2 = -21 + 22t + 21 + -22t Reorder the terms: 21 + -22t + t2 = -21 + 21 + 22t + -22t Combine like terms: -21 + 21 = 0 21 + -22t + t2 = 0 + 22t + -22t 21 + -22t + t2 = 22t + -22t Combine like terms: 22t + -22t = 0 21 + -22t + t2 = 0 Factor a trinomial. (1 + -1t)(21 + -1t) = 0Subproblem 1
Set the factor '(1 + -1t)' equal to zero and attempt to solve: Simplifying 1 + -1t = 0 Solving 1 + -1t = 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 + -1t = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1t = 0 + -1 -1t = 0 + -1 Combine like terms: 0 + -1 = -1 -1t = -1 Divide each side by '-1'. t = 1 Simplifying t = 1Subproblem 2
Set the factor '(21 + -1t)' equal to zero and attempt to solve: Simplifying 21 + -1t = 0 Solving 21 + -1t = 0 Move all terms containing t to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + -21 + -1t = 0 + -21 Combine like terms: 21 + -21 = 0 0 + -1t = 0 + -21 -1t = 0 + -21 Combine like terms: 0 + -21 = -21 -1t = -21 Divide each side by '-1'. t = 21 Simplifying t = 21Solution
t = {1, 21}
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