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Simplifying 81s2 + 18s + 1 = 0 Reorder the terms: 1 + 18s + 81s2 = 0 Solving 1 + 18s + 81s2 = 0 Solving for variable 's'. Factor a trinomial. (1 + 9s)(1 + 9s) = 0Subproblem 1
Set the factor '(1 + 9s)' equal to zero and attempt to solve: Simplifying 1 + 9s = 0 Solving 1 + 9s = 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 + 9s = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 9s = 0 + -1 9s = 0 + -1 Combine like terms: 0 + -1 = -1 9s = -1 Divide each side by '9'. s = -0.1111111111 Simplifying s = -0.1111111111Subproblem 2
Set the factor '(1 + 9s)' equal to zero and attempt to solve: Simplifying 1 + 9s = 0 Solving 1 + 9s = 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 + 9s = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 9s = 0 + -1 9s = 0 + -1 Combine like terms: 0 + -1 = -1 9s = -1 Divide each side by '9'. s = -0.1111111111 Simplifying s = -0.1111111111Solution
s = {-0.1111111111, -0.1111111111}
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