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Simplifying n2 + -5n + 678 = 0 Reorder the terms: 678 + -5n + n2 = 0 Solving 678 + -5n + n2 = 0 Solving for variable 'n'. Begin completing the square. Move the constant term to the right: Add '-678' to each side of the equation. 678 + -5n + -678 + n2 = 0 + -678 Reorder the terms: 678 + -678 + -5n + n2 = 0 + -678 Combine like terms: 678 + -678 = 0 0 + -5n + n2 = 0 + -678 -5n + n2 = 0 + -678 Combine like terms: 0 + -678 = -678 -5n + n2 = -678 The n term is -5n. Take half its coefficient (-2.5). Square it (6.25) and add it to both sides. Add '6.25' to each side of the equation. -5n + 6.25 + n2 = -678 + 6.25 Reorder the terms: 6.25 + -5n + n2 = -678 + 6.25 Combine like terms: -678 + 6.25 = -671.75 6.25 + -5n + n2 = -671.75 Factor a perfect square on the left side: (n + -2.5)(n + -2.5) = -671.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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