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Simplifying 7n2 + -10n + 4 = 0 Reorder the terms: 4 + -10n + 7n2 = 0 Solving 4 + -10n + 7n2 = 0 Solving for variable 'n'. Begin completing the square. Divide all terms by 7 the coefficient of the squared term: Divide each side by '7'. 0.5714285714 + -1.428571429n + n2 = 0 Move the constant term to the right: Add '-0.5714285714' to each side of the equation. 0.5714285714 + -1.428571429n + -0.5714285714 + n2 = 0 + -0.5714285714 Reorder the terms: 0.5714285714 + -0.5714285714 + -1.428571429n + n2 = 0 + -0.5714285714 Combine like terms: 0.5714285714 + -0.5714285714 = 0.0000000000 0.0000000000 + -1.428571429n + n2 = 0 + -0.5714285714 -1.428571429n + n2 = 0 + -0.5714285714 Combine like terms: 0 + -0.5714285714 = -0.5714285714 -1.428571429n + n2 = -0.5714285714 The n term is -1.428571429n. Take half its coefficient (-0.7142857145). Square it (0.5102040819) and add it to both sides. Add '0.5102040819' to each side of the equation. -1.428571429n + 0.5102040819 + n2 = -0.5714285714 + 0.5102040819 Reorder the terms: 0.5102040819 + -1.428571429n + n2 = -0.5714285714 + 0.5102040819 Combine like terms: -0.5714285714 + 0.5102040819 = -0.0612244895 0.5102040819 + -1.428571429n + n2 = -0.0612244895 Factor a perfect square on the left side: (n + -0.7142857145)(n + -0.7142857145) = -0.0612244895 Can't calculate square root of the right side. The solution to this equation could not be determined.
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