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Simplifying n2 + -6n + 15 = 0 Reorder the terms: 15 + -6n + n2 = 0 Solving 15 + -6n + n2 = 0 Solving for variable 'n'. Begin completing the square. Move the constant term to the right: Add '-15' to each side of the equation. 15 + -6n + -15 + n2 = 0 + -15 Reorder the terms: 15 + -15 + -6n + n2 = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -6n + n2 = 0 + -15 -6n + n2 = 0 + -15 Combine like terms: 0 + -15 = -15 -6n + n2 = -15 The n term is -6n. Take half its coefficient (-3). Square it (9) and add it to both sides. Add '9' to each side of the equation. -6n + 9 + n2 = -15 + 9 Reorder the terms: 9 + -6n + n2 = -15 + 9 Combine like terms: -15 + 9 = -6 9 + -6n + n2 = -6 Factor a perfect square on the left side: (n + -3)(n + -3) = -6 Can't calculate square root of the right side. The solution to this equation could not be determined.
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