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Simplifying t2 + -13t + 49 = t Reorder the terms: 49 + -13t + t2 = t Solving 49 + -13t + t2 = t Solving for variable 't'. Reorder the terms: 49 + -13t + -1t + t2 = t + -1t Combine like terms: -13t + -1t = -14t 49 + -14t + t2 = t + -1t Combine like terms: t + -1t = 0 49 + -14t + t2 = 0 Factor a trinomial. (7 + -1t)(7 + -1t) = 0Subproblem 1
Set the factor '(7 + -1t)' equal to zero and attempt to solve: Simplifying 7 + -1t = 0 Solving 7 + -1t = 0 Move all terms containing t to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -1t = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1t = 0 + -7 -1t = 0 + -7 Combine like terms: 0 + -7 = -7 -1t = -7 Divide each side by '-1'. t = 7 Simplifying t = 7Subproblem 2
Set the factor '(7 + -1t)' equal to zero and attempt to solve: Simplifying 7 + -1t = 0 Solving 7 + -1t = 0 Move all terms containing t to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -1t = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1t = 0 + -7 -1t = 0 + -7 Combine like terms: 0 + -7 = -7 -1t = -7 Divide each side by '-1'. t = 7 Simplifying t = 7Solution
t = {7, 7}
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