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Simplifying n2 + 4n + 7 = 0 Reorder the terms: 7 + 4n + n2 = 0 Solving 7 + 4n + n2 = 0 Solving for variable 'n'. Begin completing the square. Move the constant term to the right: Add '-7' to each side of the equation. 7 + 4n + -7 + n2 = 0 + -7 Reorder the terms: 7 + -7 + 4n + n2 = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 4n + n2 = 0 + -7 4n + n2 = 0 + -7 Combine like terms: 0 + -7 = -7 4n + n2 = -7 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 = -7 + 4 Reorder the terms: 4 + 4n + n2 = -7 + 4 Combine like terms: -7 + 4 = -3 4 + 4n + n2 = -3 Factor a perfect square on the left side: (n + 2)(n + 2) = -3 Can't calculate square root of the right side. The solution to this equation could not be determined.
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