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Simplifying t2 = 6t + 55 Reorder the terms: t2 = 55 + 6t Solving t2 = 55 + 6t Solving for variable 't'. Reorder the terms: -55 + -6t + t2 = 55 + 6t + -55 + -6t Reorder the terms: -55 + -6t + t2 = 55 + -55 + 6t + -6t Combine like terms: 55 + -55 = 0 -55 + -6t + t2 = 0 + 6t + -6t -55 + -6t + t2 = 6t + -6t Combine like terms: 6t + -6t = 0 -55 + -6t + t2 = 0 Factor a trinomial. (-5 + -1t)(11 + -1t) = 0Subproblem 1
Set the factor '(-5 + -1t)' equal to zero and attempt to solve: Simplifying -5 + -1t = 0 Solving -5 + -1t = 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 + -1t = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -1t = 0 + 5 -1t = 0 + 5 Combine like terms: 0 + 5 = 5 -1t = 5 Divide each side by '-1'. t = -5 Simplifying t = -5Subproblem 2
Set the factor '(11 + -1t)' equal to zero and attempt to solve: Simplifying 11 + -1t = 0 Solving 11 + -1t = 0 Move all terms containing t to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + -1t = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -1t = 0 + -11 -1t = 0 + -11 Combine like terms: 0 + -11 = -11 -1t = -11 Divide each side by '-1'. t = 11 Simplifying t = 11Solution
t = {-5, 11}
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