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Simplifying 8 = t2 + -7t Reorder the terms: 8 = -7t + t2 Solving 8 = -7t + t2 Solving for variable 't'. Reorder the terms: 8 + 7t + -1t2 = -7t + 7t + t2 + -1t2 Combine like terms: -7t + 7t = 0 8 + 7t + -1t2 = 0 + t2 + -1t2 8 + 7t + -1t2 = t2 + -1t2 Combine like terms: t2 + -1t2 = 0 8 + 7t + -1t2 = 0 Factor a trinomial. (8 + -1t)(1 + t) = 0Subproblem 1
Set the factor '(8 + -1t)' equal to zero and attempt to solve: Simplifying 8 + -1t = 0 Solving 8 + -1t = 0 Move all terms containing t to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1t = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1t = 0 + -8 -1t = 0 + -8 Combine like terms: 0 + -8 = -8 -1t = -8 Divide each side by '-1'. t = 8 Simplifying t = 8Subproblem 2
Set the factor '(1 + t)' equal to zero and attempt to solve: Simplifying 1 + t = 0 Solving 1 + t = 0 Move all terms containing t to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + t = 0 + -1 Combine like terms: 1 + -1 = 0 0 + t = 0 + -1 t = 0 + -1 Combine like terms: 0 + -1 = -1 t = -1 Simplifying t = -1Solution
t = {8, -1}
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