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Simplifying T(13 + 12T) = 25 (13 * T + 12T * T) = 25 (13T + 12T2) = 25 Solving 13T + 12T2 = 25 Solving for variable 'T'. Reorder the terms: -25 + 13T + 12T2 = 25 + -25 Combine like terms: 25 + -25 = 0 -25 + 13T + 12T2 = 0 Factor a trinomial. (-25 + -12T)(1 + -1T) = 0Subproblem 1
Set the factor '(-25 + -12T)' equal to zero and attempt to solve: Simplifying -25 + -12T = 0 Solving -25 + -12T = 0 Move all terms containing T to the left, all other terms to the right. Add '25' to each side of the equation. -25 + 25 + -12T = 0 + 25 Combine like terms: -25 + 25 = 0 0 + -12T = 0 + 25 -12T = 0 + 25 Combine like terms: 0 + 25 = 25 -12T = 25 Divide each side by '-12'. T = -2.083333333 Simplifying T = -2.083333333Subproblem 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 = {-2.083333333, 1}
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