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Simplifying 270n2 + -269n + 182 = 0 Reorder the terms: 182 + -269n + 270n2 = 0 Solving 182 + -269n + 270n2 = 0 Solving for variable 'n'. Begin completing the square. Divide all terms by 270 the coefficient of the squared term: Divide each side by '270'. 0.6740740741 + -0.9962962963n + n2 = 0 Move the constant term to the right: Add '-0.6740740741' to each side of the equation. 0.6740740741 + -0.9962962963n + -0.6740740741 + n2 = 0 + -0.6740740741 Reorder the terms: 0.6740740741 + -0.6740740741 + -0.9962962963n + n2 = 0 + -0.6740740741 Combine like terms: 0.6740740741 + -0.6740740741 = 0.0000000000 0.0000000000 + -0.9962962963n + n2 = 0 + -0.6740740741 -0.9962962963n + n2 = 0 + -0.6740740741 Combine like terms: 0 + -0.6740740741 = -0.6740740741 -0.9962962963n + n2 = -0.6740740741 The n term is -0.9962962963n. Take half its coefficient (-0.4981481482). Square it (0.2481515776) and add it to both sides. Add '0.2481515776' to each side of the equation. -0.9962962963n + 0.2481515776 + n2 = -0.6740740741 + 0.2481515776 Reorder the terms: 0.2481515776 + -0.9962962963n + n2 = -0.6740740741 + 0.2481515776 Combine like terms: -0.6740740741 + 0.2481515776 = -0.4259224965 0.2481515776 + -0.9962962963n + n2 = -0.4259224965 Factor a perfect square on the left side: (n + -0.4981481482)(n + -0.4981481482) = -0.4259224965 Can't calculate square root of the right side. The solution to this equation could not be determined.
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