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Simplifying 34500t2 = 100t Solving 34500t2 = 100t Solving for variable 't'. Reorder the terms: -100t + 34500t2 = 100t + -100t Combine like terms: 100t + -100t = 0 -100t + 34500t2 = 0 Factor out the Greatest Common Factor (GCF), '100t'. 100t(-1 + 345t) = 0 Ignore the factor 100.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 + 345t)' equal to zero and attempt to solve: Simplifying -1 + 345t = 0 Solving -1 + 345t = 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 + 345t = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 345t = 0 + 1 345t = 0 + 1 Combine like terms: 0 + 1 = 1 345t = 1 Divide each side by '345'. t = 0.002898550725 Simplifying t = 0.002898550725Solution
t = {0, 0.002898550725}
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