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Simplifying t2 + -6t = 247 Reorder the terms: -6t + t2 = 247 Solving -6t + t2 = 247 Solving for variable 't'. Reorder the terms: -247 + -6t + t2 = 247 + -247 Combine like terms: 247 + -247 = 0 -247 + -6t + t2 = 0 Factor a trinomial. (-13 + -1t)(19 + -1t) = 0Subproblem 1
Set the factor '(-13 + -1t)' equal to zero and attempt to solve: Simplifying -13 + -1t = 0 Solving -13 + -1t = 0 Move all terms containing t to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + -1t = 0 + 13 Combine like terms: -13 + 13 = 0 0 + -1t = 0 + 13 -1t = 0 + 13 Combine like terms: 0 + 13 = 13 -1t = 13 Divide each side by '-1'. t = -13 Simplifying t = -13Subproblem 2
Set the factor '(19 + -1t)' equal to zero and attempt to solve: Simplifying 19 + -1t = 0 Solving 19 + -1t = 0 Move all terms containing t to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + -1t = 0 + -19 Combine like terms: 19 + -19 = 0 0 + -1t = 0 + -19 -1t = 0 + -19 Combine like terms: 0 + -19 = -19 -1t = -19 Divide each side by '-1'. t = 19 Simplifying t = 19Solution
t = {-13, 19}
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