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Simplifying 16T2 + -40T + 25 = 0 Reorder the terms: 25 + -40T + 16T2 = 0 Solving 25 + -40T + 16T2 = 0 Solving for variable 'T'. Factor a trinomial. (5 + -4T)(5 + -4T) = 0Subproblem 1
Set the factor '(5 + -4T)' equal to zero and attempt to solve: Simplifying 5 + -4T = 0 Solving 5 + -4T = 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 + -4T = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -4T = 0 + -5 -4T = 0 + -5 Combine like terms: 0 + -5 = -5 -4T = -5 Divide each side by '-4'. T = 1.25 Simplifying T = 1.25Subproblem 2
Set the factor '(5 + -4T)' equal to zero and attempt to solve: Simplifying 5 + -4T = 0 Solving 5 + -4T = 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 + -4T = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -4T = 0 + -5 -4T = 0 + -5 Combine like terms: 0 + -5 = -5 -4T = -5 Divide each side by '-4'. T = 1.25 Simplifying T = 1.25Solution
T = {1.25, 1.25}
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