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Simplifying (2s + 1)(4s2 + -2s + 1) = 0 Reorder the terms: (1 + 2s)(4s2 + -2s + 1) = 0 Reorder the terms: (1 + 2s)(1 + -2s + 4s2) = 0 Multiply (1 + 2s) * (1 + -2s + 4s2) (1(1 + -2s + 4s2) + 2s * (1 + -2s + 4s2)) = 0 ((1 * 1 + -2s * 1 + 4s2 * 1) + 2s * (1 + -2s + 4s2)) = 0 ((1 + -2s + 4s2) + 2s * (1 + -2s + 4s2)) = 0 (1 + -2s + 4s2 + (1 * 2s + -2s * 2s + 4s2 * 2s)) = 0 (1 + -2s + 4s2 + (2s + -4s2 + 8s3)) = 0 Reorder the terms: (1 + -2s + 2s + 4s2 + -4s2 + 8s3) = 0 Combine like terms: -2s + 2s = 0 (1 + 0 + 4s2 + -4s2 + 8s3) = 0 (1 + 4s2 + -4s2 + 8s3) = 0 Combine like terms: 4s2 + -4s2 = 0 (1 + 0 + 8s3) = 0 (1 + 8s3) = 0 Solving 1 + 8s3 = 0 Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 8s3 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 8s3 = 0 + -1 8s3 = 0 + -1 Combine like terms: 0 + -1 = -1 8s3 = -1 Divide each side by '8'. s3 = -0.125 Simplifying s3 = -0.125 Reorder the terms: 0.125 + s3 = -0.125 + 0.125 Combine like terms: -0.125 + 0.125 = 0.000 0.125 + s3 = 0.000 The solution to this equation could not be determined.
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