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Simplifying 4T2 + 4T = -1 Reorder the terms: 4T + 4T2 = -1 Solving 4T + 4T2 = -1 Solving for variable 'T'. Reorder the terms: 1 + 4T + 4T2 = -1 + 1 Combine like terms: -1 + 1 = 0 1 + 4T + 4T2 = 0 Factor a trinomial. (1 + 2T)(1 + 2T) = 0Subproblem 1
Set the factor '(1 + 2T)' equal to zero and attempt to solve: Simplifying 1 + 2T = 0 Solving 1 + 2T = 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 + 2T = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2T = 0 + -1 2T = 0 + -1 Combine like terms: 0 + -1 = -1 2T = -1 Divide each side by '2'. T = -0.5 Simplifying T = -0.5Subproblem 2
Set the factor '(1 + 2T)' equal to zero and attempt to solve: Simplifying 1 + 2T = 0 Solving 1 + 2T = 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 + 2T = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2T = 0 + -1 2T = 0 + -1 Combine like terms: 0 + -1 = -1 2T = -1 Divide each side by '2'. T = -0.5 Simplifying T = -0.5Solution
T = {-0.5, -0.5}
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