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Simplifying 8s2 + 57s + 155 = 0 Reorder the terms: 155 + 57s + 8s2 = 0 Solving 155 + 57s + 8s2 = 0 Solving for variable 's'. Begin completing the square. Divide all terms by 8 the coefficient of the squared term: Divide each side by '8'. 19.375 + 7.125s + s2 = 0 Move the constant term to the right: Add '-19.375' to each side of the equation. 19.375 + 7.125s + -19.375 + s2 = 0 + -19.375 Reorder the terms: 19.375 + -19.375 + 7.125s + s2 = 0 + -19.375 Combine like terms: 19.375 + -19.375 = 0.000 0.000 + 7.125s + s2 = 0 + -19.375 7.125s + s2 = 0 + -19.375 Combine like terms: 0 + -19.375 = -19.375 7.125s + s2 = -19.375 The s term is 7.125s. Take half its coefficient (3.5625). Square it (12.69140625) and add it to both sides. Add '12.69140625' to each side of the equation. 7.125s + 12.69140625 + s2 = -19.375 + 12.69140625 Reorder the terms: 12.69140625 + 7.125s + s2 = -19.375 + 12.69140625 Combine like terms: -19.375 + 12.69140625 = -6.68359375 12.69140625 + 7.125s + s2 = -6.68359375 Factor a perfect square on the left side: (s + 3.5625)(s + 3.5625) = -6.68359375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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