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Simplifying (2T + 3)(2T + 3) = 0 Reorder the terms: (3 + 2T)(2T + 3) = 0 Reorder the terms: (3 + 2T)(3 + 2T) = 0 Multiply (3 + 2T) * (3 + 2T) (3(3 + 2T) + 2T * (3 + 2T)) = 0 ((3 * 3 + 2T * 3) + 2T * (3 + 2T)) = 0 ((9 + 6T) + 2T * (3 + 2T)) = 0 (9 + 6T + (3 * 2T + 2T * 2T)) = 0 (9 + 6T + (6T + 4T2)) = 0 Combine like terms: 6T + 6T = 12T (9 + 12T + 4T2) = 0 Solving 9 + 12T + 4T2 = 0 Solving for variable 'T'. Factor a trinomial. (3 + 2T)(3 + 2T) = 0Subproblem 1
Set the factor '(3 + 2T)' equal to zero and attempt to solve: Simplifying 3 + 2T = 0 Solving 3 + 2T = 0 Move all terms containing T to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 2T = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 2T = 0 + -3 2T = 0 + -3 Combine like terms: 0 + -3 = -3 2T = -3 Divide each side by '2'. T = -1.5 Simplifying T = -1.5Subproblem 2
Set the factor '(3 + 2T)' equal to zero and attempt to solve: Simplifying 3 + 2T = 0 Solving 3 + 2T = 0 Move all terms containing T to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 2T = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 2T = 0 + -3 2T = 0 + -3 Combine like terms: 0 + -3 = -3 2T = -3 Divide each side by '2'. T = -1.5 Simplifying T = -1.5Solution
T = {-1.5, -1.5}
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