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Simplifying 26t + -1t2 = 153 Solving 26t + -1t2 = 153 Solving for variable 't'. Reorder the terms: -153 + 26t + -1t2 = 153 + -153 Combine like terms: 153 + -153 = 0 -153 + 26t + -1t2 = 0 Factor a trinomial. (-17 + t)(9 + -1t) = 0Subproblem 1
Set the factor '(-17 + t)' equal to zero and attempt to solve: Simplifying -17 + t = 0 Solving -17 + t = 0 Move all terms containing t to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 17 + t = 0 + 17 Combine like terms: -17 + 17 = 0 0 + t = 0 + 17 t = 0 + 17 Combine like terms: 0 + 17 = 17 t = 17 Simplifying t = 17Subproblem 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 = {17, 9}
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