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Simplifying (n2) + -4n + 57 = -5 n2 + -4n + 57 = -5 Reorder the terms: 57 + -4n + n2 = -5 Solving 57 + -4n + n2 = -5 Solving for variable 'n'. Reorder the terms: 57 + 5 + -4n + n2 = -5 + 5 Combine like terms: 57 + 5 = 62 62 + -4n + n2 = -5 + 5 Combine like terms: -5 + 5 = 0 62 + -4n + n2 = 0 Begin completing the square. Move the constant term to the right: Add '-62' to each side of the equation. 62 + -4n + -62 + n2 = 0 + -62 Reorder the terms: 62 + -62 + -4n + n2 = 0 + -62 Combine like terms: 62 + -62 = 0 0 + -4n + n2 = 0 + -62 -4n + n2 = 0 + -62 Combine like terms: 0 + -62 = -62 -4n + n2 = -62 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 = -62 + 4 Reorder the terms: 4 + -4n + n2 = -62 + 4 Combine like terms: -62 + 4 = -58 4 + -4n + n2 = -58 Factor a perfect square on the left side: (n + -2)(n + -2) = -58 Can't calculate square root of the right side. The solution to this equation could not be determined.
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