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Simplifying n2 + 6n + 5 = -6 Reorder the terms: 5 + 6n + n2 = -6 Solving 5 + 6n + n2 = -6 Solving for variable 'n'. Reorder the terms: 5 + 6 + 6n + n2 = -6 + 6 Combine like terms: 5 + 6 = 11 11 + 6n + n2 = -6 + 6 Combine like terms: -6 + 6 = 0 11 + 6n + n2 = 0 Begin completing the square. Move the constant term to the right: Add '-11' to each side of the equation. 11 + 6n + -11 + n2 = 0 + -11 Reorder the terms: 11 + -11 + 6n + n2 = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 6n + n2 = 0 + -11 6n + n2 = 0 + -11 Combine like terms: 0 + -11 = -11 6n + n2 = -11 The n term is 6n. Take half its coefficient (3). Square it (9) and add it to both sides. Add '9' to each side of the equation. 6n + 9 + n2 = -11 + 9 Reorder the terms: 9 + 6n + n2 = -11 + 9 Combine like terms: -11 + 9 = -2 9 + 6n + n2 = -2 Factor a perfect square on the left side: (n + 3)(n + 3) = -2 Can't calculate square root of the right side. The solution to this equation could not be determined.
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