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Simplifying 4T2 + -13T = -3 Reorder the terms: -13T + 4T2 = -3 Solving -13T + 4T2 = -3 Solving for variable 'T'. Reorder the terms: 3 + -13T + 4T2 = -3 + 3 Combine like terms: -3 + 3 = 0 3 + -13T + 4T2 = 0 Factor a trinomial. (1 + -4T)(3 + -1T) = 0Subproblem 1
Set the factor '(1 + -4T)' equal to zero and attempt to solve: Simplifying 1 + -4T = 0 Solving 1 + -4T = 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 + -4T = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -4T = 0 + -1 -4T = 0 + -1 Combine like terms: 0 + -1 = -1 -4T = -1 Divide each side by '-4'. T = 0.25 Simplifying T = 0.25Subproblem 2
Set the factor '(3 + -1T)' equal to zero and attempt to solve: Simplifying 3 + -1T = 0 Solving 3 + -1T = 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 + -1T = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1T = 0 + -3 -1T = 0 + -3 Combine like terms: 0 + -3 = -3 -1T = -3 Divide each side by '-1'. T = 3 Simplifying T = 3Solution
T = {0.25, 3}
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