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Simplifying n2 + 5 = -2n Reorder the terms: 5 + n2 = -2n Solving 5 + n2 = -2n Solving for variable 'n'. Reorder the terms: 5 + 2n + n2 = -2n + 2n Combine like terms: -2n + 2n = 0 5 + 2n + n2 = 0 Begin completing the square. Move the constant term to the right: Add '-5' to each side of the equation. 5 + 2n + -5 + n2 = 0 + -5 Reorder the terms: 5 + -5 + 2n + n2 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 2n + n2 = 0 + -5 2n + n2 = 0 + -5 Combine like terms: 0 + -5 = -5 2n + n2 = -5 The n term is 2n. Take half its coefficient (1). Square it (1) and add it to both sides. Add '1' to each side of the equation. 2n + 1 + n2 = -5 + 1 Reorder the terms: 1 + 2n + n2 = -5 + 1 Combine like terms: -5 + 1 = -4 1 + 2n + n2 = -4 Factor a perfect square on the left side: (n + 1)(n + 1) = -4 Can't calculate square root of the right side. The solution to this equation could not be determined.
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