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Simplifying 16t2 = 2t Solving 16t2 = 2t Solving for variable 't'. Reorder the terms: -2t + 16t2 = 2t + -2t Combine like terms: 2t + -2t = 0 -2t + 16t2 = 0 Factor out the Greatest Common Factor (GCF), '2t'. 2t(-1 + 8t) = 0 Ignore the factor 2.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 + 8t)' equal to zero and attempt to solve: Simplifying -1 + 8t = 0 Solving -1 + 8t = 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 + 8t = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 8t = 0 + 1 8t = 0 + 1 Combine like terms: 0 + 1 = 1 8t = 1 Divide each side by '8'. t = 0.125 Simplifying t = 0.125Solution
t = {0, 0.125}
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