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Simplifying 5n2 + 8n + 4 = 0 Reorder the terms: 4 + 8n + 5n2 = 0 Solving 4 + 8n + 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'. 0.8 + 1.6n + n2 = 0 Move the constant term to the right: Add '-0.8' to each side of the equation. 0.8 + 1.6n + -0.8 + n2 = 0 + -0.8 Reorder the terms: 0.8 + -0.8 + 1.6n + n2 = 0 + -0.8 Combine like terms: 0.8 + -0.8 = 0.0 0.0 + 1.6n + n2 = 0 + -0.8 1.6n + n2 = 0 + -0.8 Combine like terms: 0 + -0.8 = -0.8 1.6n + n2 = -0.8 The n term is 1.6n. Take half its coefficient (0.8). Square it (0.64) and add it to both sides. Add '0.64' to each side of the equation. 1.6n + 0.64 + n2 = -0.8 + 0.64 Reorder the terms: 0.64 + 1.6n + n2 = -0.8 + 0.64 Combine like terms: -0.8 + 0.64 = -0.16 0.64 + 1.6n + n2 = -0.16 Factor a perfect square on the left side: (n + 0.8)(n + 0.8) = -0.16 Can't calculate square root of the right side. The solution to this equation could not be determined.
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