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Simplifying T(34 + 8T) = 9 (34 * T + 8T * T) = 9 (34T + 8T2) = 9 Solving 34T + 8T2 = 9 Solving for variable 'T'. Reorder the terms: -9 + 34T + 8T2 = 9 + -9 Combine like terms: 9 + -9 = 0 -9 + 34T + 8T2 = 0 Factor a trinomial. (-9 + -2T)(1 + -4T) = 0Subproblem 1
Set the factor '(-9 + -2T)' equal to zero and attempt to solve: Simplifying -9 + -2T = 0 Solving -9 + -2T = 0 Move all terms containing T to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + -2T = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -2T = 0 + 9 -2T = 0 + 9 Combine like terms: 0 + 9 = 9 -2T = 9 Divide each side by '-2'. T = -4.5 Simplifying T = -4.5Subproblem 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 = {-4.5, 0.25}
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