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Simplifying 5n2 + 5n + 4 = 0 Reorder the terms: 4 + 5n + 5n2 = 0 Solving 4 + 5n + 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 + n + n2 = 0 Move the constant term to the right: Add '-0.8' to each side of the equation. 0.8 + n + -0.8 + n2 = 0 + -0.8 Reorder the terms: 0.8 + -0.8 + n + n2 = 0 + -0.8 Combine like terms: 0.8 + -0.8 = 0.0 0.0 + n + n2 = 0 + -0.8 n + n2 = 0 + -0.8 Combine like terms: 0 + -0.8 = -0.8 n + n2 = -0.8 The n term is n. Take half its coefficient (0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. + 0.25 + n2 = -0.8 + 0.25 Combine like terms: + 0.25 = 1.25 1.25 + n2 = -0.8 + 0.25 Combine like terms: -0.8 + 0.25 = -0.55 1.25 + n2 = -0.55 Factor a perfect square on the left side: (n + 0.5)(n + 0.5) = -0.55 Can't calculate square root of the right side. The solution to this equation could not be determined.
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