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Simplifying s2 + 6s + 25 = 0 Reorder the terms: 25 + 6s + s2 = 0 Solving 25 + 6s + s2 = 0 Solving for variable 's'. Begin completing the square. Move the constant term to the right: Add '-25' to each side of the equation. 25 + 6s + -25 + s2 = 0 + -25 Reorder the terms: 25 + -25 + 6s + s2 = 0 + -25 Combine like terms: 25 + -25 = 0 0 + 6s + s2 = 0 + -25 6s + s2 = 0 + -25 Combine like terms: 0 + -25 = -25 6s + s2 = -25 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 = -25 + 9 Reorder the terms: 9 + 6s + s2 = -25 + 9 Combine like terms: -25 + 9 = -16 9 + 6s + s2 = -16 Factor a perfect square on the left side: (s + 3)(s + 3) = -16 Can't calculate square root of the right side. The solution to this equation could not be determined.
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