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Simplifying 0 = -1t2 + 5t + 6 Reorder the terms: 0 = 6 + 5t + -1t2 Solving 0 = 6 + 5t + -1t2 Solving for variable 't'. Combine like terms: 0 + -6 = -6 -6 + -5t + t2 = 6 + 5t + -1t2 + -6 + -5t + t2 Reorder the terms: -6 + -5t + t2 = 6 + -6 + 5t + -5t + -1t2 + t2 Combine like terms: 6 + -6 = 0 -6 + -5t + t2 = 0 + 5t + -5t + -1t2 + t2 -6 + -5t + t2 = 5t + -5t + -1t2 + t2 Combine like terms: 5t + -5t = 0 -6 + -5t + t2 = 0 + -1t2 + t2 -6 + -5t + t2 = -1t2 + t2 Combine like terms: -1t2 + t2 = 0 -6 + -5t + t2 = 0 Factor a trinomial. (-1 + -1t)(6 + -1t) = 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 + -1t)' equal to zero and attempt to solve: Simplifying 6 + -1t = 0 Solving 6 + -1t = 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 + -1t = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1t = 0 + -6 -1t = 0 + -6 Combine like terms: 0 + -6 = -6 -1t = -6 Divide each side by '-1'. t = 6 Simplifying t = 6Solution
t = {-1, 6}
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