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Simplifying s2 + 12s + 400 = 0 Reorder the terms: 400 + 12s + s2 = 0 Solving 400 + 12s + s2 = 0 Solving for variable 's'. Begin completing the square. Move the constant term to the right: Add '-400' to each side of the equation. 400 + 12s + -400 + s2 = 0 + -400 Reorder the terms: 400 + -400 + 12s + s2 = 0 + -400 Combine like terms: 400 + -400 = 0 0 + 12s + s2 = 0 + -400 12s + s2 = 0 + -400 Combine like terms: 0 + -400 = -400 12s + s2 = -400 The s term is 12s. Take half its coefficient (6). Square it (36) and add it to both sides. Add '36' to each side of the equation. 12s + 36 + s2 = -400 + 36 Reorder the terms: 36 + 12s + s2 = -400 + 36 Combine like terms: -400 + 36 = -364 36 + 12s + s2 = -364 Factor a perfect square on the left side: (s + 6)(s + 6) = -364 Can't calculate square root of the right side. The solution to this equation could not be determined.
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