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Simplifying T2 + -1T = 380 Reorder the terms: -1T + T2 = 380 Solving -1T + T2 = 380 Solving for variable 'T'. Reorder the terms: -380 + -1T + T2 = 380 + -380 Combine like terms: 380 + -380 = 0 -380 + -1T + T2 = 0 Factor a trinomial. (-19 + -1T)(20 + -1T) = 0Subproblem 1
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 = -19Subproblem 2
Set the factor '(20 + -1T)' equal to zero and attempt to solve: Simplifying 20 + -1T = 0 Solving 20 + -1T = 0 Move all terms containing T to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + -1T = 0 + -20 Combine like terms: 20 + -20 = 0 0 + -1T = 0 + -20 -1T = 0 + -20 Combine like terms: 0 + -20 = -20 -1T = -20 Divide each side by '-1'. T = 20 Simplifying T = 20Solution
T = {-19, 20}
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