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Simplifying 5n2 + 4n + 2 = 0 Reorder the terms: 2 + 4n + 5n2 = 0 Solving 2 + 4n + 5n2 = 0 Solving for variable 'n'. Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 0.4 + 0.8n + n2 = 0 Move the constant term to the right: Add '-0.4' to each side of the equation. 0.4 + 0.8n + -0.4 + n2 = 0 + -0.4 Reorder the terms: 0.4 + -0.4 + 0.8n + n2 = 0 + -0.4 Combine like terms: 0.4 + -0.4 = 0.0 0.0 + 0.8n + n2 = 0 + -0.4 0.8n + n2 = 0 + -0.4 Combine like terms: 0 + -0.4 = -0.4 0.8n + n2 = -0.4 The n term is 0.8n. Take half its coefficient (0.4). Square it (0.16) and add it to both sides. Add '0.16' to each side of the equation. 0.8n + 0.16 + n2 = -0.4 + 0.16 Reorder the terms: 0.16 + 0.8n + n2 = -0.4 + 0.16 Combine like terms: -0.4 + 0.16 = -0.24 0.16 + 0.8n + n2 = -0.24 Factor a perfect square on the left side: (n + 0.4)(n + 0.4) = -0.24 Can't calculate square root of the right side. The solution to this equation could not be determined.
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