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Simplifying 5n2 + 7n + 564 = 0 Reorder the terms: 564 + 7n + 5n2 = 0 Solving 564 + 7n + 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'. 112.8 + 1.4n + n2 = 0 Move the constant term to the right: Add '-112.8' to each side of the equation. 112.8 + 1.4n + -112.8 + n2 = 0 + -112.8 Reorder the terms: 112.8 + -112.8 + 1.4n + n2 = 0 + -112.8 Combine like terms: 112.8 + -112.8 = 0.0 0.0 + 1.4n + n2 = 0 + -112.8 1.4n + n2 = 0 + -112.8 Combine like terms: 0 + -112.8 = -112.8 1.4n + n2 = -112.8 The n term is 1.4n. Take half its coefficient (0.7). Square it (0.49) and add it to both sides. Add '0.49' to each side of the equation. 1.4n + 0.49 + n2 = -112.8 + 0.49 Reorder the terms: 0.49 + 1.4n + n2 = -112.8 + 0.49 Combine like terms: -112.8 + 0.49 = -112.31 0.49 + 1.4n + n2 = -112.31 Factor a perfect square on the left side: (n + 0.7)(n + 0.7) = -112.31 Can't calculate square root of the right side. The solution to this equation could not be determined.
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