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Simplifying 22t + -1t2 = 117 Solving 22t + -1t2 = 117 Solving for variable 't'. Reorder the terms: -117 + 22t + -1t2 = 117 + -117 Combine like terms: 117 + -117 = 0 -117 + 22t + -1t2 = 0 Factor a trinomial. (-13 + t)(9 + -1t) = 0Subproblem 1
Set the factor '(-13 + t)' equal to zero and attempt to solve: Simplifying -13 + t = 0 Solving -13 + t = 0 Move all terms containing t to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + t = 0 + 13 Combine like terms: -13 + 13 = 0 0 + t = 0 + 13 t = 0 + 13 Combine like terms: 0 + 13 = 13 t = 13 Simplifying t = 13Subproblem 2
Set the factor '(9 + -1t)' equal to zero and attempt to solve: Simplifying 9 + -1t = 0 Solving 9 + -1t = 0 Move all terms containing t to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -1t = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1t = 0 + -9 -1t = 0 + -9 Combine like terms: 0 + -9 = -9 -1t = -9 Divide each side by '-1'. t = 9 Simplifying t = 9Solution
t = {13, 9}
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