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Simplifying -4n2 + 6n + -16 = -5n Reorder the terms: -16 + 6n + -4n2 = -5n Solving -16 + 6n + -4n2 = -5n Solving for variable 'n'. Reorder the terms: -16 + 6n + 5n + -4n2 = -5n + 5n Combine like terms: 6n + 5n = 11n -16 + 11n + -4n2 = -5n + 5n Combine like terms: -5n + 5n = 0 -16 + 11n + -4n2 = 0 Begin completing the square. Divide all terms by -4 the coefficient of the squared term: Divide each side by '-4'. 4 + -2.75n + n2 = 0 Move the constant term to the right: Add '-4' to each side of the equation. 4 + -2.75n + -4 + n2 = 0 + -4 Reorder the terms: 4 + -4 + -2.75n + n2 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -2.75n + n2 = 0 + -4 -2.75n + n2 = 0 + -4 Combine like terms: 0 + -4 = -4 -2.75n + n2 = -4 The n term is -2.75n. Take half its coefficient (-1.375). Square it (1.890625) and add it to both sides. Add '1.890625' to each side of the equation. -2.75n + 1.890625 + n2 = -4 + 1.890625 Reorder the terms: 1.890625 + -2.75n + n2 = -4 + 1.890625 Combine like terms: -4 + 1.890625 = -2.109375 1.890625 + -2.75n + n2 = -2.109375 Factor a perfect square on the left side: (n + -1.375)(n + -1.375) = -2.109375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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