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Simplifying 7n2 = 4n + -4 Reorder the terms: 7n2 = -4 + 4n Solving 7n2 = -4 + 4n Solving for variable 'n'. Reorder the terms: 4 + -4n + 7n2 = -4 + 4n + 4 + -4n Reorder the terms: 4 + -4n + 7n2 = -4 + 4 + 4n + -4n Combine like terms: -4 + 4 = 0 4 + -4n + 7n2 = 0 + 4n + -4n 4 + -4n + 7n2 = 4n + -4n Combine like terms: 4n + -4n = 0 4 + -4n + 7n2 = 0 Begin completing the square. Divide all terms by 7 the coefficient of the squared term: Divide each side by '7'. 0.5714285714 + -0.5714285714n + n2 = 0 Move the constant term to the right: Add '-0.5714285714' to each side of the equation. 0.5714285714 + -0.5714285714n + -0.5714285714 + n2 = 0 + -0.5714285714 Reorder the terms: 0.5714285714 + -0.5714285714 + -0.5714285714n + n2 = 0 + -0.5714285714 Combine like terms: 0.5714285714 + -0.5714285714 = 0.0000000000 0.0000000000 + -0.5714285714n + n2 = 0 + -0.5714285714 -0.5714285714n + n2 = 0 + -0.5714285714 Combine like terms: 0 + -0.5714285714 = -0.5714285714 -0.5714285714n + n2 = -0.5714285714 The n term is -0.5714285714n. Take half its coefficient (-0.2857142857). Square it (0.08163265305) and add it to both sides. Add '0.08163265305' to each side of the equation. -0.5714285714n + 0.08163265305 + n2 = -0.5714285714 + 0.08163265305 Reorder the terms: 0.08163265305 + -0.5714285714n + n2 = -0.5714285714 + 0.08163265305 Combine like terms: -0.5714285714 + 0.08163265305 = -0.48979591835 0.08163265305 + -0.5714285714n + n2 = -0.48979591835 Factor a perfect square on the left side: (n + -0.2857142857)(n + -0.2857142857) = -0.48979591835 Can't calculate square root of the right side. The solution to this equation could not be determined.
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