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Simplifying 15T2 + -235T + -80 = 0 Reorder the terms: -80 + -235T + 15T2 = 0 Solving -80 + -235T + 15T2 = 0 Solving for variable 'T'. Factor out the Greatest Common Factor (GCF), '5'. 5(-16 + -47T + 3T2) = 0 Factor a trinomial. 5((-1 + -3T)(16 + -1T)) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(-1 + -3T)' equal to zero and attempt to solve: Simplifying -1 + -3T = 0 Solving -1 + -3T = 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 + -3T = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -3T = 0 + 1 -3T = 0 + 1 Combine like terms: 0 + 1 = 1 -3T = 1 Divide each side by '-3'. T = -0.3333333333 Simplifying T = -0.3333333333Subproblem 2
Set the factor '(16 + -1T)' equal to zero and attempt to solve: Simplifying 16 + -1T = 0 Solving 16 + -1T = 0 Move all terms containing T to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + -1T = 0 + -16 Combine like terms: 16 + -16 = 0 0 + -1T = 0 + -16 -1T = 0 + -16 Combine like terms: 0 + -16 = -16 -1T = -16 Divide each side by '-1'. T = 16 Simplifying T = 16Solution
T = {-0.3333333333, 16}
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