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Simplifying n2 + -21n + 400 = 0 Reorder the terms: 400 + -21n + n2 = 0 Solving 400 + -21n + n2 = 0 Solving for variable 'n'. Begin completing the square. Move the constant term to the right: Add '-400' to each side of the equation. 400 + -21n + -400 + n2 = 0 + -400 Reorder the terms: 400 + -400 + -21n + n2 = 0 + -400 Combine like terms: 400 + -400 = 0 0 + -21n + n2 = 0 + -400 -21n + n2 = 0 + -400 Combine like terms: 0 + -400 = -400 -21n + n2 = -400 The n term is -21n. Take half its coefficient (-10.5). Square it (110.25) and add it to both sides. Add '110.25' to each side of the equation. -21n + 110.25 + n2 = -400 + 110.25 Reorder the terms: 110.25 + -21n + n2 = -400 + 110.25 Combine like terms: -400 + 110.25 = -289.75 110.25 + -21n + n2 = -289.75 Factor a perfect square on the left side: (n + -10.5)(n + -10.5) = -289.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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