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Simplifying n2 + 7n + 30 = 0 Reorder the terms: 30 + 7n + n2 = 0 Solving 30 + 7n + n2 = 0 Solving for variable 'n'. Begin completing the square. Move the constant term to the right: Add '-30' to each side of the equation. 30 + 7n + -30 + n2 = 0 + -30 Reorder the terms: 30 + -30 + 7n + n2 = 0 + -30 Combine like terms: 30 + -30 = 0 0 + 7n + n2 = 0 + -30 7n + n2 = 0 + -30 Combine like terms: 0 + -30 = -30 7n + n2 = -30 The n term is 7n. Take half its coefficient (3.5). Square it (12.25) and add it to both sides. Add '12.25' to each side of the equation. 7n + 12.25 + n2 = -30 + 12.25 Reorder the terms: 12.25 + 7n + n2 = -30 + 12.25 Combine like terms: -30 + 12.25 = -17.75 12.25 + 7n + n2 = -17.75 Factor a perfect square on the left side: (n + 3.5)(n + 3.5) = -17.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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