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Simplifying 2n2 + 14n + 25 = 0 Reorder the terms: 25 + 14n + 2n2 = 0 Solving 25 + 14n + 2n2 = 0 Solving for variable 'n'. Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 12.5 + 7n + n2 = 0 Move the constant term to the right: Add '-12.5' to each side of the equation. 12.5 + 7n + -12.5 + n2 = 0 + -12.5 Reorder the terms: 12.5 + -12.5 + 7n + n2 = 0 + -12.5 Combine like terms: 12.5 + -12.5 = 0.0 0.0 + 7n + n2 = 0 + -12.5 7n + n2 = 0 + -12.5 Combine like terms: 0 + -12.5 = -12.5 7n + n2 = -12.5 The n term is 7n. Take half its coefficient (3.5). Square it (12.25) and add it to both sides. Add '12.25' to each side of the equation. 7n + 12.25 + n2 = -12.5 + 12.25 Reorder the terms: 12.25 + 7n + n2 = -12.5 + 12.25 Combine like terms: -12.5 + 12.25 = -0.25 12.25 + 7n + n2 = -0.25 Factor a perfect square on the left side: (n + 3.5)(n + 3.5) = -0.25 Can't calculate square root of the right side. The solution to this equation could not be determined.
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