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Simplifying 0 = t2 + 7t + -60 Reorder the terms: 0 = -60 + 7t + t2 Solving 0 = -60 + 7t + t2 Solving for variable 't'. Combine like terms: 0 + 60 = 60 60 + -7t + -1t2 = -60 + 7t + t2 + 60 + -7t + -1t2 Reorder the terms: 60 + -7t + -1t2 = -60 + 60 + 7t + -7t + t2 + -1t2 Combine like terms: -60 + 60 = 0 60 + -7t + -1t2 = 0 + 7t + -7t + t2 + -1t2 60 + -7t + -1t2 = 7t + -7t + t2 + -1t2 Combine like terms: 7t + -7t = 0 60 + -7t + -1t2 = 0 + t2 + -1t2 60 + -7t + -1t2 = t2 + -1t2 Combine like terms: t2 + -1t2 = 0 60 + -7t + -1t2 = 0 Factor a trinomial. (5 + -1t)(12 + t) = 0Subproblem 1
Set the factor '(5 + -1t)' equal to zero and attempt to solve: Simplifying 5 + -1t = 0 Solving 5 + -1t = 0 Move all terms containing t to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1t = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1t = 0 + -5 -1t = 0 + -5 Combine like terms: 0 + -5 = -5 -1t = -5 Divide each side by '-1'. t = 5 Simplifying t = 5Subproblem 2
Set the factor '(12 + t)' equal to zero and attempt to solve: Simplifying 12 + t = 0 Solving 12 + t = 0 Move all terms containing t to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + t = 0 + -12 Combine like terms: 12 + -12 = 0 0 + t = 0 + -12 t = 0 + -12 Combine like terms: 0 + -12 = -12 t = -12 Simplifying t = -12Solution
t = {5, -12}
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