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Simplifying n2 + 7n + 15 = -5 Reorder the terms: 15 + 7n + n2 = -5 Solving 15 + 7n + n2 = -5 Solving for variable 'n'. Reorder the terms: 15 + 5 + 7n + n2 = -5 + 5 Combine like terms: 15 + 5 = 20 20 + 7n + n2 = -5 + 5 Combine like terms: -5 + 5 = 0 20 + 7n + n2 = 0 Begin completing the square. Move the constant term to the right: Add '-20' to each side of the equation. 20 + 7n + -20 + n2 = 0 + -20 Reorder the terms: 20 + -20 + 7n + n2 = 0 + -20 Combine like terms: 20 + -20 = 0 0 + 7n + n2 = 0 + -20 7n + n2 = 0 + -20 Combine like terms: 0 + -20 = -20 7n + n2 = -20 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 = -20 + 12.25 Reorder the terms: 12.25 + 7n + n2 = -20 + 12.25 Combine like terms: -20 + 12.25 = -7.75 12.25 + 7n + n2 = -7.75 Factor a perfect square on the left side: (n + 3.5)(n + 3.5) = -7.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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