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Simplifying -16T2 + 44T + 80 = 0 Reorder the terms: 80 + 44T + -16T2 = 0 Solving 80 + 44T + -16T2 = 0 Solving for variable 'T'. Factor out the Greatest Common Factor (GCF), '4'. 4(20 + 11T + -4T2) = 0 Factor a trinomial. 4((4 + -1T)(5 + 4T)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(4 + -1T)' equal to zero and attempt to solve: Simplifying 4 + -1T = 0 Solving 4 + -1T = 0 Move all terms containing T to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1T = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1T = 0 + -4 -1T = 0 + -4 Combine like terms: 0 + -4 = -4 -1T = -4 Divide each side by '-1'. T = 4 Simplifying T = 4Subproblem 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 = {4, -1.25}
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