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Simplifying (T + 5)(T + 5) = 0 Reorder the terms: (5 + T)(T + 5) = 0 Reorder the terms: (5 + T)(5 + T) = 0 Multiply (5 + T) * (5 + T) (5(5 + T) + T(5 + T)) = 0 ((5 * 5 + T * 5) + T(5 + T)) = 0 ((25 + 5T) + T(5 + T)) = 0 (25 + 5T + (5 * T + T * T)) = 0 (25 + 5T + (5T + T2)) = 0 Combine like terms: 5T + 5T = 10T (25 + 10T + T2) = 0 Solving 25 + 10T + T2 = 0 Solving for variable 'T'. Factor a trinomial. (5 + T)(5 + T) = 0Subproblem 1
Set the factor '(5 + T)' equal to zero and attempt to solve: Simplifying 5 + T = 0 Solving 5 + T = 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 + T = 0 + -5 Combine like terms: 5 + -5 = 0 0 + T = 0 + -5 T = 0 + -5 Combine like terms: 0 + -5 = -5 T = -5 Simplifying T = -5Subproblem 2
Set the factor '(5 + T)' equal to zero and attempt to solve: Simplifying 5 + T = 0 Solving 5 + T = 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 + T = 0 + -5 Combine like terms: 5 + -5 = 0 0 + T = 0 + -5 T = 0 + -5 Combine like terms: 0 + -5 = -5 T = -5 Simplifying T = -5Solution
T = {-5, -5}
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