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Simplifying n2 + 55 = -4n Reorder the terms: 55 + n2 = -4n Solving 55 + n2 = -4n Solving for variable 'n'. Reorder the terms: 55 + 4n + n2 = -4n + 4n Combine like terms: -4n + 4n = 0 55 + 4n + n2 = 0 Begin completing the square. Move the constant term to the right: Add '-55' to each side of the equation. 55 + 4n + -55 + n2 = 0 + -55 Reorder the terms: 55 + -55 + 4n + n2 = 0 + -55 Combine like terms: 55 + -55 = 0 0 + 4n + n2 = 0 + -55 4n + n2 = 0 + -55 Combine like terms: 0 + -55 = -55 4n + n2 = -55 The n term is 4n. Take half its coefficient (2). Square it (4) and add it to both sides. Add '4' to each side of the equation. 4n + 4 + n2 = -55 + 4 Reorder the terms: 4 + 4n + n2 = -55 + 4 Combine like terms: -55 + 4 = -51 4 + 4n + n2 = -51 Factor a perfect square on the left side: (n + 2)(n + 2) = -51 Can't calculate square root of the right side. The solution to this equation could not be determined.
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