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Simplifying 9n2 + 4 = 10n Reorder the terms: 4 + 9n2 = 10n Solving 4 + 9n2 = 10n Solving for variable 'n'. Reorder the terms: 4 + -10n + 9n2 = 10n + -10n Combine like terms: 10n + -10n = 0 4 + -10n + 9n2 = 0 Begin completing the square. Divide all terms by 9 the coefficient of the squared term: Divide each side by '9'. 0.4444444444 + -1.111111111n + n2 = 0 Move the constant term to the right: Add '-0.4444444444' to each side of the equation. 0.4444444444 + -1.111111111n + -0.4444444444 + n2 = 0 + -0.4444444444 Reorder the terms: 0.4444444444 + -0.4444444444 + -1.111111111n + n2 = 0 + -0.4444444444 Combine like terms: 0.4444444444 + -0.4444444444 = 0.0000000000 0.0000000000 + -1.111111111n + n2 = 0 + -0.4444444444 -1.111111111n + n2 = 0 + -0.4444444444 Combine like terms: 0 + -0.4444444444 = -0.4444444444 -1.111111111n + n2 = -0.4444444444 The n term is -1.111111111n. Take half its coefficient (-0.5555555555). Square it (0.3086419752) and add it to both sides. Add '0.3086419752' to each side of the equation. -1.111111111n + 0.3086419752 + n2 = -0.4444444444 + 0.3086419752 Reorder the terms: 0.3086419752 + -1.111111111n + n2 = -0.4444444444 + 0.3086419752 Combine like terms: -0.4444444444 + 0.3086419752 = -0.1358024692 0.3086419752 + -1.111111111n + n2 = -0.1358024692 Factor a perfect square on the left side: (n + -0.5555555555)(n + -0.5555555555) = -0.1358024692 Can't calculate square root of the right side. The solution to this equation could not be determined.
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