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Simplifying 0 = 16T2 + 25T Reorder the terms: 0 = 25T + 16T2 Solving 0 = 25T + 16T2 Solving for variable 'T'. Remove the zero: -25T + -16T2 = 25T + 16T2 + -25T + -16T2 Reorder the terms: -25T + -16T2 = 25T + -25T + 16T2 + -16T2 Combine like terms: 25T + -25T = 0 -25T + -16T2 = 0 + 16T2 + -16T2 -25T + -16T2 = 16T2 + -16T2 Combine like terms: 16T2 + -16T2 = 0 -25T + -16T2 = 0 Factor out the Greatest Common Factor (GCF), '-1T'. -1T(25 + 16T) = 0 Ignore the factor -1.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 '(25 + 16T)' equal to zero and attempt to solve: Simplifying 25 + 16T = 0 Solving 25 + 16T = 0 Move all terms containing T to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + 16T = 0 + -25 Combine like terms: 25 + -25 = 0 0 + 16T = 0 + -25 16T = 0 + -25 Combine like terms: 0 + -25 = -25 16T = -25 Divide each side by '16'. T = -1.5625 Simplifying T = -1.5625Solution
T = {0, -1.5625}
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