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Simplifying 64t2 + -16t + 1 = 0 Reorder the terms: 1 + -16t + 64t2 = 0 Solving 1 + -16t + 64t2 = 0 Solving for variable 't'. Factor a trinomial. (1 + -8t)(1 + -8t) = 0Subproblem 1
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 = 0.125Subproblem 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 = {0.125, 0.125}
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