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Simplifying 20T2 + 5T = 0 Reorder the terms: 5T + 20T2 = 0 Solving 5T + 20T2 = 0 Solving for variable 'T'. Factor out the Greatest Common Factor (GCF), '5T'. 5T(1 + 4T) = 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 '(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 = {0, -0.25}
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