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Simplifying n2 + -7n + 14 = 0 Reorder the terms: 14 + -7n + n2 = 0 Solving 14 + -7n + n2 = 0 Solving for variable 'n'. Begin completing the square. Move the constant term to the right: Add '-14' to each side of the equation. 14 + -7n + -14 + n2 = 0 + -14 Reorder the terms: 14 + -14 + -7n + n2 = 0 + -14 Combine like terms: 14 + -14 = 0 0 + -7n + n2 = 0 + -14 -7n + n2 = 0 + -14 Combine like terms: 0 + -14 = -14 -7n + n2 = -14 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 = -14 + 12.25 Reorder the terms: 12.25 + -7n + n2 = -14 + 12.25 Combine like terms: -14 + 12.25 = -1.75 12.25 + -7n + n2 = -1.75 Factor a perfect square on the left side: (n + -3.5)(n + -3.5) = -1.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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