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Simplifying -1t2 = -6t + -16 Reorder the terms: -1t2 = -16 + -6t Solving -1t2 = -16 + -6t Solving for variable 't'. Reorder the terms: 16 + 6t + -1t2 = -16 + -6t + 16 + 6t Reorder the terms: 16 + 6t + -1t2 = -16 + 16 + -6t + 6t Combine like terms: -16 + 16 = 0 16 + 6t + -1t2 = 0 + -6t + 6t 16 + 6t + -1t2 = -6t + 6t Combine like terms: -6t + 6t = 0 16 + 6t + -1t2 = 0 Factor a trinomial. (8 + -1t)(2 + 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 '(2 + t)' equal to zero and attempt to solve: Simplifying 2 + t = 0 Solving 2 + t = 0 Move all terms containing t to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + t = 0 + -2 Combine like terms: 2 + -2 = 0 0 + t = 0 + -2 t = 0 + -2 Combine like terms: 0 + -2 = -2 t = -2 Simplifying t = -2Solution
t = {8, -2}
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