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Simplifying n2 + 7n + 90 = 0 Reorder the terms: 90 + 7n + n2 = 0 Solving 90 + 7n + n2 = 0 Solving for variable 'n'. Begin completing the square. Move the constant term to the right: Add '-90' to each side of the equation. 90 + 7n + -90 + n2 = 0 + -90 Reorder the terms: 90 + -90 + 7n + n2 = 0 + -90 Combine like terms: 90 + -90 = 0 0 + 7n + n2 = 0 + -90 7n + n2 = 0 + -90 Combine like terms: 0 + -90 = -90 7n + n2 = -90 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 = -90 + 12.25 Reorder the terms: 12.25 + 7n + n2 = -90 + 12.25 Combine like terms: -90 + 12.25 = -77.75 12.25 + 7n + n2 = -77.75 Factor a perfect square on the left side: (n + 3.5)(n + 3.5) = -77.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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