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Simplifying 0 = (-140T) + 5T2 Solving 0 = (-140T) + 5T2 Solving for variable 'T'. Remove the zero: (140T) + -5T2 = (-140T) + 5T2 + (140T) + -5T2 Reorder the terms: (140T) + -5T2 = (-140T) + (140T) + 5T2 + -5T2 Combine like terms: (-140T) + (140T) = 0 (140T) + -5T2 = 0 + 5T2 + -5T2 (140T) + -5T2 = 5T2 + -5T2 Combine like terms: 5T2 + -5T2 = 0 (140T) + -5T2 = 0 Factor out the Greatest Common Factor (GCF), '5T'. 5T(28 + -1T) = 0 Ignore the factor 5.Subproblem 1
Set the factor 'T' equal to zero and attempt to solve: Simplifying T = 0 Solving T = 0 Move all terms containing T to the left, all other terms to the right. Simplifying T = 0Subproblem 2
Set the factor '(28 + -1T)' equal to zero and attempt to solve: Simplifying 28 + -1T = 0 Solving 28 + -1T = 0 Move all terms containing T to the left, all other terms to the right. Add '-28' to each side of the equation. 28 + -28 + -1T = 0 + -28 Combine like terms: 28 + -28 = 0 0 + -1T = 0 + -28 -1T = 0 + -28 Combine like terms: 0 + -28 = -28 -1T = -28 Divide each side by '-1'. T = 28 Simplifying T = 28Solution
T = {0, 28}
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