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Simplifying -16T2 + 24T + 7 = 0 Reorder the terms: 7 + 24T + -16T2 = 0 Solving 7 + 24T + -16T2 = 0 Solving for variable 'T'. Factor a trinomial. (7 + -4T)(1 + 4T) = 0Subproblem 1
Set the factor '(7 + -4T)' equal to zero and attempt to solve: Simplifying 7 + -4T = 0 Solving 7 + -4T = 0 Move all terms containing T to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -4T = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -4T = 0 + -7 -4T = 0 + -7 Combine like terms: 0 + -7 = -7 -4T = -7 Divide each side by '-4'. T = 1.75 Simplifying T = 1.75Subproblem 2
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 = -0.25Solution
T = {1.75, -0.25}
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