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Simplifying 0 = t2 + -6t + 5 Reorder the terms: 0 = 5 + -6t + t2 Solving 0 = 5 + -6t + t2 Solving for variable 't'. Combine like terms: 0 + -5 = -5 -5 + 6t + -1t2 = 5 + -6t + t2 + -5 + 6t + -1t2 Reorder the terms: -5 + 6t + -1t2 = 5 + -5 + -6t + 6t + t2 + -1t2 Combine like terms: 5 + -5 = 0 -5 + 6t + -1t2 = 0 + -6t + 6t + t2 + -1t2 -5 + 6t + -1t2 = -6t + 6t + t2 + -1t2 Combine like terms: -6t + 6t = 0 -5 + 6t + -1t2 = 0 + t2 + -1t2 -5 + 6t + -1t2 = t2 + -1t2 Combine like terms: t2 + -1t2 = 0 -5 + 6t + -1t2 = 0 Factor a trinomial. (-5 + t)(1 + -1t) = 0Subproblem 1
Set the factor '(-5 + t)' equal to zero and attempt to solve: Simplifying -5 + t = 0 Solving -5 + t = 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 + t = 0 + 5 Combine like terms: -5 + 5 = 0 0 + t = 0 + 5 t = 0 + 5 Combine like terms: 0 + 5 = 5 t = 5 Simplifying t = 5Subproblem 2
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 = 1Solution
t = {5, 1}
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