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Simplifying 600t2 = 50t Solving 600t2 = 50t Solving for variable 't'. Reorder the terms: -50t + 600t2 = 50t + -50t Combine like terms: 50t + -50t = 0 -50t + 600t2 = 0 Factor out the Greatest Common Factor (GCF), '50t'. 50t(-1 + 12t) = 0 Ignore the factor 50.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 + 12t)' equal to zero and attempt to solve: Simplifying -1 + 12t = 0 Solving -1 + 12t = 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 + 12t = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 12t = 0 + 1 12t = 0 + 1 Combine like terms: 0 + 1 = 1 12t = 1 Divide each side by '12'. t = 0.08333333333 Simplifying t = 0.08333333333Solution
t = {0, 0.08333333333}
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