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Simplifying n2 + -4n = -10 Reorder the terms: -4n + n2 = -10 Solving -4n + n2 = -10 Solving for variable 'n'. Reorder the terms: 10 + -4n + n2 = -10 + 10 Combine like terms: -10 + 10 = 0 10 + -4n + n2 = 0 Begin completing the square. Move the constant term to the right: Add '-10' to each side of the equation. 10 + -4n + -10 + n2 = 0 + -10 Reorder the terms: 10 + -10 + -4n + n2 = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -4n + n2 = 0 + -10 -4n + n2 = 0 + -10 Combine like terms: 0 + -10 = -10 -4n + n2 = -10 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 = -10 + 4 Reorder the terms: 4 + -4n + n2 = -10 + 4 Combine like terms: -10 + 4 = -6 4 + -4n + n2 = -6 Factor a perfect square on the left side: (n + -2)(n + -2) = -6 Can't calculate square root of the right side. The solution to this equation could not be determined.
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