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Simplifying n2 = -3n + -10 Reorder the terms: n2 = -10 + -3n Solving n2 = -10 + -3n Solving for variable 'n'. Reorder the terms: 10 + 3n + n2 = -10 + -3n + 10 + 3n Reorder the terms: 10 + 3n + n2 = -10 + 10 + -3n + 3n Combine like terms: -10 + 10 = 0 10 + 3n + n2 = 0 + -3n + 3n 10 + 3n + n2 = -3n + 3n Combine like terms: -3n + 3n = 0 10 + 3n + n2 = 0 Begin completing the square. Move the constant term to the right: Add '-10' to each side of the equation. 10 + 3n + -10 + n2 = 0 + -10 Reorder the terms: 10 + -10 + 3n + n2 = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 3n + n2 = 0 + -10 3n + n2 = 0 + -10 Combine like terms: 0 + -10 = -10 3n + n2 = -10 The n term is 3n. Take half its coefficient (1.5). Square it (2.25) and add it to both sides. Add '2.25' to each side of the equation. 3n + 2.25 + n2 = -10 + 2.25 Reorder the terms: 2.25 + 3n + n2 = -10 + 2.25 Combine like terms: -10 + 2.25 = -7.75 2.25 + 3n + n2 = -7.75 Factor a perfect square on the left side: (n + 1.5)(n + 1.5) = -7.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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