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Simplifying 16t2 = t Solving 16t2 = t Solving for variable 't'. Reorder the terms: -1t + 16t2 = t + -1t Combine like terms: t + -1t = 0 -1t + 16t2 = 0 Factor out the Greatest Common Factor (GCF), 't'. t(-1 + 16t) = 0Subproblem 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 + 16t)' equal to zero and attempt to solve: Simplifying -1 + 16t = 0 Solving -1 + 16t = 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 + 16t = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 16t = 0 + 1 16t = 0 + 1 Combine like terms: 0 + 1 = 1 16t = 1 Divide each side by '16'. t = 0.0625 Simplifying t = 0.0625Solution
t = {0, 0.0625}
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