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Simplifying n2 + -4n + 21 = 0 Reorder the terms: 21 + -4n + n2 = 0 Solving 21 + -4n + n2 = 0 Solving for variable 'n'. Begin completing the square. Move the constant term to the right: Add '-21' to each side of the equation. 21 + -4n + -21 + n2 = 0 + -21 Reorder the terms: 21 + -21 + -4n + n2 = 0 + -21 Combine like terms: 21 + -21 = 0 0 + -4n + n2 = 0 + -21 -4n + n2 = 0 + -21 Combine like terms: 0 + -21 = -21 -4n + n2 = -21 The n term is -4n. Take half its coefficient (-2). Square it (4) and add it to both sides. Add '4' to each side of the equation. -4n + 4 + n2 = -21 + 4 Reorder the terms: 4 + -4n + n2 = -21 + 4 Combine like terms: -21 + 4 = -17 4 + -4n + n2 = -17 Factor a perfect square on the left side: (n + -2)(n + -2) = -17 Can't calculate square root of the right side. The solution to this equation could not be determined.
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