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Simplifying n2 + -3n = -40 Reorder the terms: -3n + n2 = -40 Solving -3n + n2 = -40 Solving for variable 'n'. Reorder the terms: 40 + -3n + n2 = -40 + 40 Combine like terms: -40 + 40 = 0 40 + -3n + n2 = 0 Begin completing the square. Move the constant term to the right: Add '-40' to each side of the equation. 40 + -3n + -40 + n2 = 0 + -40 Reorder the terms: 40 + -40 + -3n + n2 = 0 + -40 Combine like terms: 40 + -40 = 0 0 + -3n + n2 = 0 + -40 -3n + n2 = 0 + -40 Combine like terms: 0 + -40 = -40 -3n + n2 = -40 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 = -40 + 2.25 Reorder the terms: 2.25 + -3n + n2 = -40 + 2.25 Combine like terms: -40 + 2.25 = -37.75 2.25 + -3n + n2 = -37.75 Factor a perfect square on the left side: (n + -1.5)(n + -1.5) = -37.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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