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Simplifying n2 + -2n = -48 Reorder the terms: -2n + n2 = -48 Solving -2n + n2 = -48 Solving for variable 'n'. Reorder the terms: 48 + -2n + n2 = -48 + 48 Combine like terms: -48 + 48 = 0 48 + -2n + n2 = 0 Begin completing the square. Move the constant term to the right: Add '-48' to each side of the equation. 48 + -2n + -48 + n2 = 0 + -48 Reorder the terms: 48 + -48 + -2n + n2 = 0 + -48 Combine like terms: 48 + -48 = 0 0 + -2n + n2 = 0 + -48 -2n + n2 = 0 + -48 Combine like terms: 0 + -48 = -48 -2n + n2 = -48 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 = -48 + 1 Reorder the terms: 1 + -2n + n2 = -48 + 1 Combine like terms: -48 + 1 = -47 1 + -2n + n2 = -47 Factor a perfect square on the left side: (n + -1)(n + -1) = -47 Can't calculate square root of the right side. The solution to this equation could not be determined.
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