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Simplifying 0.25s2 = -1s + -1 Reorder the terms: 0.25s2 = -1 + -1s Solving 0.25s2 = -1 + -1s Solving for variable 's'. Reorder the terms: 1 + s + 0.25s2 = -1 + -1s + 1 + s Reorder the terms: 1 + s + 0.25s2 = -1 + 1 + -1s + s Combine like terms: -1 + 1 = 0 1 + s + 0.25s2 = 0 + -1s + s 1 + s + 0.25s2 = -1s + s Combine like terms: -1s + s = 0 1 + s + 0.25s2 = 0 Begin completing the square. Divide all terms by 0.25 the coefficient of the squared term: Divide each side by '0.25'. 4 + 4s + s2 = 0 Move the constant term to the right: Add '-4' to each side of the equation. 4 + 4s + -4 + s2 = 0 + -4 Reorder the terms: 4 + -4 + 4s + s2 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 4s + s2 = 0 + -4 4s + s2 = 0 + -4 Combine like terms: 0 + -4 = -4 4s + s2 = -4 The s term is s. Take half its coefficient (0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. 4s + 0.25 + s2 = -4 + 0.25 Reorder the terms: 0.25 + 4s + s2 = -4 + 0.25 Combine like terms: -4 + 0.25 = -3.75 0.25 + 4s + s2 = -3.75 Factor a perfect square on the left side: (s + 0.5)(s + 0.5) = -3.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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