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Simplifying 7n2 + 5n = -7 Reorder the terms: 5n + 7n2 = -7 Solving 5n + 7n2 = -7 Solving for variable 'n'. Reorder the terms: 7 + 5n + 7n2 = -7 + 7 Combine like terms: -7 + 7 = 0 7 + 5n + 7n2 = 0 Begin completing the square. Divide all terms by 7 the coefficient of the squared term: Divide each side by '7'. 1 + 0.7142857143n + n2 = 0 Move the constant term to the right: Add '-1' to each side of the equation. 1 + 0.7142857143n + -1 + n2 = 0 + -1 Reorder the terms: 1 + -1 + 0.7142857143n + n2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 0.7142857143n + n2 = 0 + -1 0.7142857143n + n2 = 0 + -1 Combine like terms: 0 + -1 = -1 0.7142857143n + n2 = -1 The n term is 0.7142857143n. Take half its coefficient (0.3571428572). Square it (0.1275510204) and add it to both sides. Add '0.1275510204' to each side of the equation. 0.7142857143n + 0.1275510204 + n2 = -1 + 0.1275510204 Reorder the terms: 0.1275510204 + 0.7142857143n + n2 = -1 + 0.1275510204 Combine like terms: -1 + 0.1275510204 = -0.8724489796 0.1275510204 + 0.7142857143n + n2 = -0.8724489796 Factor a perfect square on the left side: (n + 0.3571428572)(n + 0.3571428572) = -0.8724489796 Can't calculate square root of the right side. The solution to this equation could not be determined.
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