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Simplifying n2 = 7n + -50 Reorder the terms: n2 = -50 + 7n Solving n2 = -50 + 7n Solving for variable 'n'. Reorder the terms: 50 + -7n + n2 = -50 + 7n + 50 + -7n Reorder the terms: 50 + -7n + n2 = -50 + 50 + 7n + -7n Combine like terms: -50 + 50 = 0 50 + -7n + n2 = 0 + 7n + -7n 50 + -7n + n2 = 7n + -7n Combine like terms: 7n + -7n = 0 50 + -7n + n2 = 0 Begin completing the square. Move the constant term to the right: Add '-50' to each side of the equation. 50 + -7n + -50 + n2 = 0 + -50 Reorder the terms: 50 + -50 + -7n + n2 = 0 + -50 Combine like terms: 50 + -50 = 0 0 + -7n + n2 = 0 + -50 -7n + n2 = 0 + -50 Combine like terms: 0 + -50 = -50 -7n + n2 = -50 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 = -50 + 12.25 Reorder the terms: 12.25 + -7n + n2 = -50 + 12.25 Combine like terms: -50 + 12.25 = -37.75 12.25 + -7n + n2 = -37.75 Factor a perfect square on the left side: (n + -3.5)(n + -3.5) = -37.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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