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Simplifying n(n + 7) = -36 Reorder the terms: n(7 + n) = -36 (7 * n + n * n) = -36 (7n + n2) = -36 Solving 7n + n2 = -36 Solving for variable 'n'. Reorder the terms: 36 + 7n + n2 = -36 + 36 Combine like terms: -36 + 36 = 0 36 + 7n + n2 = 0 Begin completing the square. Move the constant term to the right: Add '-36' to each side of the equation. 36 + 7n + -36 + n2 = 0 + -36 Reorder the terms: 36 + -36 + 7n + n2 = 0 + -36 Combine like terms: 36 + -36 = 0 0 + 7n + n2 = 0 + -36 7n + n2 = 0 + -36 Combine like terms: 0 + -36 = -36 7n + n2 = -36 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 = -36 + 12.25 Reorder the terms: 12.25 + 7n + n2 = -36 + 12.25 Combine like terms: -36 + 12.25 = -23.75 12.25 + 7n + n2 = -23.75 Factor a perfect square on the left side: (n + 3.5)(n + 3.5) = -23.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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