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Simplifying -1t2 = 5t + -6 Reorder the terms: -1t2 = -6 + 5t Solving -1t2 = -6 + 5t Solving for variable 't'. Reorder the terms: 6 + -5t + -1t2 = -6 + 5t + 6 + -5t Reorder the terms: 6 + -5t + -1t2 = -6 + 6 + 5t + -5t Combine like terms: -6 + 6 = 0 6 + -5t + -1t2 = 0 + 5t + -5t 6 + -5t + -1t2 = 5t + -5t Combine like terms: 5t + -5t = 0 6 + -5t + -1t2 = 0 Factor a trinomial. (1 + -1t)(6 + t) = 0Subproblem 1
Set the factor '(1 + -1t)' equal to zero and attempt to solve: Simplifying 1 + -1t = 0 Solving 1 + -1t = 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 + -1t = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1t = 0 + -1 -1t = 0 + -1 Combine like terms: 0 + -1 = -1 -1t = -1 Divide each side by '-1'. t = 1 Simplifying t = 1Subproblem 2
Set the factor '(6 + t)' equal to zero and attempt to solve: Simplifying 6 + t = 0 Solving 6 + t = 0 Move all terms containing t to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + t = 0 + -6 Combine like terms: 6 + -6 = 0 0 + t = 0 + -6 t = 0 + -6 Combine like terms: 0 + -6 = -6 t = -6 Simplifying t = -6Solution
t = {1, -6}
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