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Simplifying 4T2 + -17T + -15 = 0 Reorder the terms: -15 + -17T + 4T2 = 0 Solving -15 + -17T + 4T2 = 0 Solving for variable 'T'. Factor a trinomial. (-3 + -4T)(5 + -1T) = 0Subproblem 1
Set the factor '(-3 + -4T)' equal to zero and attempt to solve: Simplifying -3 + -4T = 0 Solving -3 + -4T = 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 + -4T = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -4T = 0 + 3 -4T = 0 + 3 Combine like terms: 0 + 3 = 3 -4T = 3 Divide each side by '-4'. T = -0.75 Simplifying T = -0.75Subproblem 2
Set the factor '(5 + -1T)' equal to zero and attempt to solve: Simplifying 5 + -1T = 0 Solving 5 + -1T = 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 + -1T = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1T = 0 + -5 -1T = 0 + -5 Combine like terms: 0 + -5 = -5 -1T = -5 Divide each side by '-1'. T = 5 Simplifying T = 5Solution
T = {-0.75, 5}
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