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Simplifying 16t2 + 200t = 0 Reorder the terms: 200t + 16t2 = 0 Solving 200t + 16t2 = 0 Solving for variable 't'. Factor out the Greatest Common Factor (GCF), '8t'. 8t(25 + 2t) = 0 Ignore the factor 8.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 + 2t)' equal to zero and attempt to solve: Simplifying 25 + 2t = 0 Solving 25 + 2t = 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 + 2t = 0 + -25 Combine like terms: 25 + -25 = 0 0 + 2t = 0 + -25 2t = 0 + -25 Combine like terms: 0 + -25 = -25 2t = -25 Divide each side by '2'. t = -12.5 Simplifying t = -12.5Solution
t = {0, -12.5}
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