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Simplifying n2 + 4n + 100 = 0 Reorder the terms: 100 + 4n + n2 = 0 Solving 100 + 4n + n2 = 0 Solving for variable 'n'. Begin completing the square. Move the constant term to the right: Add '-100' to each side of the equation. 100 + 4n + -100 + n2 = 0 + -100 Reorder the terms: 100 + -100 + 4n + n2 = 0 + -100 Combine like terms: 100 + -100 = 0 0 + 4n + n2 = 0 + -100 4n + n2 = 0 + -100 Combine like terms: 0 + -100 = -100 4n + n2 = -100 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 = -100 + 4 Reorder the terms: 4 + 4n + n2 = -100 + 4 Combine like terms: -100 + 4 = -96 4 + 4n + n2 = -96 Factor a perfect square on the left side: (n + 2)(n + 2) = -96 Can't calculate square root of the right side. The solution to this equation could not be determined.
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