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Simplifying 5s2 + 28s + 62 = 0 Reorder the terms: 62 + 28s + 5s2 = 0 Solving 62 + 28s + 5s2 = 0 Solving for variable 's'. Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 12.4 + 5.6s + s2 = 0 Move the constant term to the right: Add '-12.4' to each side of the equation. 12.4 + 5.6s + -12.4 + s2 = 0 + -12.4 Reorder the terms: 12.4 + -12.4 + 5.6s + s2 = 0 + -12.4 Combine like terms: 12.4 + -12.4 = 0.0 0.0 + 5.6s + s2 = 0 + -12.4 5.6s + s2 = 0 + -12.4 Combine like terms: 0 + -12.4 = -12.4 5.6s + s2 = -12.4 The s term is 5.6s. Take half its coefficient (2.8). Square it (7.84) and add it to both sides. Add '7.84' to each side of the equation. 5.6s + 7.84 + s2 = -12.4 + 7.84 Reorder the terms: 7.84 + 5.6s + s2 = -12.4 + 7.84 Combine like terms: -12.4 + 7.84 = -4.56 7.84 + 5.6s + s2 = -4.56 Factor a perfect square on the left side: (s + 2.8)(s + 2.8) = -4.56 Can't calculate square root of the right side. The solution to this equation could not be determined.
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