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Simplifying n2 + 6n + 32 = 0 Reorder the terms: 32 + 6n + n2 = 0 Solving 32 + 6n + n2 = 0 Solving for variable 'n'. Begin completing the square. Move the constant term to the right: Add '-32' to each side of the equation. 32 + 6n + -32 + n2 = 0 + -32 Reorder the terms: 32 + -32 + 6n + n2 = 0 + -32 Combine like terms: 32 + -32 = 0 0 + 6n + n2 = 0 + -32 6n + n2 = 0 + -32 Combine like terms: 0 + -32 = -32 6n + n2 = -32 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 = -32 + 9 Reorder the terms: 9 + 6n + n2 = -32 + 9 Combine like terms: -32 + 9 = -23 9 + 6n + n2 = -23 Factor a perfect square on the left side: (n + 3)(n + 3) = -23 Can't calculate square root of the right side. The solution to this equation could not be determined.
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