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Simplifying 2s2 + 27s + 180 = 0 Reorder the terms: 180 + 27s + 2s2 = 0 Solving 180 + 27s + 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'. 90 + 13.5s + s2 = 0 Move the constant term to the right: Add '-90' to each side of the equation. 90 + 13.5s + -90 + s2 = 0 + -90 Reorder the terms: 90 + -90 + 13.5s + s2 = 0 + -90 Combine like terms: 90 + -90 = 0 0 + 13.5s + s2 = 0 + -90 13.5s + s2 = 0 + -90 Combine like terms: 0 + -90 = -90 13.5s + s2 = -90 The s term is 13.5s. Take half its coefficient (6.75). Square it (45.5625) and add it to both sides. Add '45.5625' to each side of the equation. 13.5s + 45.5625 + s2 = -90 + 45.5625 Reorder the terms: 45.5625 + 13.5s + s2 = -90 + 45.5625 Combine like terms: -90 + 45.5625 = -44.4375 45.5625 + 13.5s + s2 = -44.4375 Factor a perfect square on the left side: (s + 6.75)(s + 6.75) = -44.4375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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