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Simplifying 64s2 + -16s + 1 = 0 Reorder the terms: 1 + -16s + 64s2 = 0 Solving 1 + -16s + 64s2 = 0 Solving for variable 's'. Factor a trinomial. (1 + -8s)(1 + -8s) = 0Subproblem 1
Set the factor '(1 + -8s)' equal to zero and attempt to solve: Simplifying 1 + -8s = 0 Solving 1 + -8s = 0 Move all terms containing s to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -8s = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -8s = 0 + -1 -8s = 0 + -1 Combine like terms: 0 + -1 = -1 -8s = -1 Divide each side by '-8'. s = 0.125 Simplifying s = 0.125Subproblem 2
Set the factor '(1 + -8s)' equal to zero and attempt to solve: Simplifying 1 + -8s = 0 Solving 1 + -8s = 0 Move all terms containing s to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -8s = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -8s = 0 + -1 -8s = 0 + -1 Combine like terms: 0 + -1 = -1 -8s = -1 Divide each side by '-8'. s = 0.125 Simplifying s = 0.125Solution
s = {0.125, 0.125}
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