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Simplifying 5n(n) + 2n + 7 = 0 Multiply n * n 5n2 + 2n + 7 = 0 Reorder the terms: 7 + 2n + 5n2 = 0 Solving 7 + 2n + 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'. 1.4 + 0.4n + n2 = 0 Move the constant term to the right: Add '-1.4' to each side of the equation. 1.4 + 0.4n + -1.4 + n2 = 0 + -1.4 Reorder the terms: 1.4 + -1.4 + 0.4n + n2 = 0 + -1.4 Combine like terms: 1.4 + -1.4 = 0.0 0.0 + 0.4n + n2 = 0 + -1.4 0.4n + n2 = 0 + -1.4 Combine like terms: 0 + -1.4 = -1.4 0.4n + n2 = -1.4 The n term is 0.4n. Take half its coefficient (0.2). Square it (0.04) and add it to both sides. Add '0.04' to each side of the equation. 0.4n + 0.04 + n2 = -1.4 + 0.04 Reorder the terms: 0.04 + 0.4n + n2 = -1.4 + 0.04 Combine like terms: -1.4 + 0.04 = -1.36 0.04 + 0.4n + n2 = -1.36 Factor a perfect square on the left side: (n + 0.2)(n + 0.2) = -1.36 Can't calculate square root of the right side. The solution to this equation could not be determined.
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