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Simplifying s2 + 7s + 49 = 0 Reorder the terms: 49 + 7s + s2 = 0 Solving 49 + 7s + s2 = 0 Solving for variable 's'. Begin completing the square. Move the constant term to the right: Add '-49' to each side of the equation. 49 + 7s + -49 + s2 = 0 + -49 Reorder the terms: 49 + -49 + 7s + s2 = 0 + -49 Combine like terms: 49 + -49 = 0 0 + 7s + s2 = 0 + -49 7s + s2 = 0 + -49 Combine like terms: 0 + -49 = -49 7s + s2 = -49 The s term is 7s. Take half its coefficient (3.5). Square it (12.25) and add it to both sides. Add '12.25' to each side of the equation. 7s + 12.25 + s2 = -49 + 12.25 Reorder the terms: 12.25 + 7s + s2 = -49 + 12.25 Combine like terms: -49 + 12.25 = -36.75 12.25 + 7s + s2 = -36.75 Factor a perfect square on the left side: (s + 3.5)(s + 3.5) = -36.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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