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Simplifying T2 + 18T + 81 = 4 Reorder the terms: 81 + 18T + T2 = 4 Solving 81 + 18T + T2 = 4 Solving for variable 'T'. Reorder the terms: 81 + -4 + 18T + T2 = 4 + -4 Combine like terms: 81 + -4 = 77 77 + 18T + T2 = 4 + -4 Combine like terms: 4 + -4 = 0 77 + 18T + T2 = 0 Factor a trinomial. (11 + T)(7 + T) = 0Subproblem 1
Set the factor '(11 + T)' equal to zero and attempt to solve: Simplifying 11 + T = 0 Solving 11 + T = 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 + T = 0 + -11 Combine like terms: 11 + -11 = 0 0 + T = 0 + -11 T = 0 + -11 Combine like terms: 0 + -11 = -11 T = -11 Simplifying T = -11Subproblem 2
Set the factor '(7 + T)' equal to zero and attempt to solve: Simplifying 7 + T = 0 Solving 7 + T = 0 Move all terms containing T to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + T = 0 + -7 Combine like terms: 7 + -7 = 0 0 + T = 0 + -7 T = 0 + -7 Combine like terms: 0 + -7 = -7 T = -7 Simplifying T = -7Solution
T = {-11, -7}
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