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Simplifying 2s2 + -7s + 204 = 0 Reorder the terms: 204 + -7s + 2s2 = 0 Solving 204 + -7s + 2s2 = 0 Solving for variable 's'. Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 102 + -3.5s + s2 = 0 Move the constant term to the right: Add '-102' to each side of the equation. 102 + -3.5s + -102 + s2 = 0 + -102 Reorder the terms: 102 + -102 + -3.5s + s2 = 0 + -102 Combine like terms: 102 + -102 = 0 0 + -3.5s + s2 = 0 + -102 -3.5s + s2 = 0 + -102 Combine like terms: 0 + -102 = -102 -3.5s + s2 = -102 The s term is -3.5s. Take half its coefficient (-1.75). Square it (3.0625) and add it to both sides. Add '3.0625' to each side of the equation. -3.5s + 3.0625 + s2 = -102 + 3.0625 Reorder the terms: 3.0625 + -3.5s + s2 = -102 + 3.0625 Combine like terms: -102 + 3.0625 = -98.9375 3.0625 + -3.5s + s2 = -98.9375 Factor a perfect square on the left side: (s + -1.75)(s + -1.75) = -98.9375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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