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Simplifying s2 + 6s + 49 = 0 Reorder the terms: 49 + 6s + s2 = 0 Solving 49 + 6s + 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 + 6s + -49 + s2 = 0 + -49 Reorder the terms: 49 + -49 + 6s + s2 = 0 + -49 Combine like terms: 49 + -49 = 0 0 + 6s + s2 = 0 + -49 6s + s2 = 0 + -49 Combine like terms: 0 + -49 = -49 6s + s2 = -49 The s term is 6s. Take half its coefficient (3). Square it (9) and add it to both sides. Add '9' to each side of the equation. 6s + 9 + s2 = -49 + 9 Reorder the terms: 9 + 6s + s2 = -49 + 9 Combine like terms: -49 + 9 = -40 9 + 6s + s2 = -40 Factor a perfect square on the left side: (s + 3)(s + 3) = -40 Can't calculate square root of the right side. The solution to this equation could not be determined.
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