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Simplifying 81s2 + 36s = -4 Reorder the terms: 36s + 81s2 = -4 Solving 36s + 81s2 = -4 Solving for variable 's'. Reorder the terms: 4 + 36s + 81s2 = -4 + 4 Combine like terms: -4 + 4 = 0 4 + 36s + 81s2 = 0 Factor a trinomial. (2 + 9s)(2 + 9s) = 0Subproblem 1
Set the factor '(2 + 9s)' equal to zero and attempt to solve: Simplifying 2 + 9s = 0 Solving 2 + 9s = 0 Move all terms containing s to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 9s = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 9s = 0 + -2 9s = 0 + -2 Combine like terms: 0 + -2 = -2 9s = -2 Divide each side by '9'. s = -0.2222222222 Simplifying s = -0.2222222222Subproblem 2
Set the factor '(2 + 9s)' equal to zero and attempt to solve: Simplifying 2 + 9s = 0 Solving 2 + 9s = 0 Move all terms containing s to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 9s = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 9s = 0 + -2 9s = 0 + -2 Combine like terms: 0 + -2 = -2 9s = -2 Divide each side by '9'. s = -0.2222222222 Simplifying s = -0.2222222222Solution
s = {-0.2222222222, -0.2222222222}
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