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Simplifying n2 + 9n + 28 = 0 Reorder the terms: 28 + 9n + n2 = 0 Solving 28 + 9n + n2 = 0 Solving for variable 'n'. Begin completing the square. Move the constant term to the right: Add '-28' to each side of the equation. 28 + 9n + -28 + n2 = 0 + -28 Reorder the terms: 28 + -28 + 9n + n2 = 0 + -28 Combine like terms: 28 + -28 = 0 0 + 9n + n2 = 0 + -28 9n + n2 = 0 + -28 Combine like terms: 0 + -28 = -28 9n + n2 = -28 The n term is 9n. Take half its coefficient (4.5). Square it (20.25) and add it to both sides. Add '20.25' to each side of the equation. 9n + 20.25 + n2 = -28 + 20.25 Reorder the terms: 20.25 + 9n + n2 = -28 + 20.25 Combine like terms: -28 + 20.25 = -7.75 20.25 + 9n + n2 = -7.75 Factor a perfect square on the left side: (n + 4.5)(n + 4.5) = -7.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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