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Simplifying T2 + -8T + -65 = 0 Reorder the terms: -65 + -8T + T2 = 0 Solving -65 + -8T + T2 = 0 Solving for variable 'T'. Factor a trinomial. (-5 + -1T)(13 + -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 '(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 = 13Solution
T = {-5, 13}
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