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Simplifying t2 + -14t = 51 Reorder the terms: -14t + t2 = 51 Solving -14t + t2 = 51 Solving for variable 't'. Reorder the terms: -51 + -14t + t2 = 51 + -51 Combine like terms: 51 + -51 = 0 -51 + -14t + t2 = 0 Factor a trinomial. (-3 + -1t)(17 + -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 '(17 + -1t)' equal to zero and attempt to solve: Simplifying 17 + -1t = 0 Solving 17 + -1t = 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 + -1t = 0 + -17 Combine like terms: 17 + -17 = 0 0 + -1t = 0 + -17 -1t = 0 + -17 Combine like terms: 0 + -17 = -17 -1t = -17 Divide each side by '-1'. t = 17 Simplifying t = 17Solution
t = {-3, 17}
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