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Simplifying 19n2 + -43n + 45 = 0 Reorder the terms: 45 + -43n + 19n2 = 0 Solving 45 + -43n + 19n2 = 0 Solving for variable 'n'. Begin completing the square. Divide all terms by 19 the coefficient of the squared term: Divide each side by '19'. 2.368421053 + -2.263157895n + n2 = 0 Move the constant term to the right: Add '-2.368421053' to each side of the equation. 2.368421053 + -2.263157895n + -2.368421053 + n2 = 0 + -2.368421053 Reorder the terms: 2.368421053 + -2.368421053 + -2.263157895n + n2 = 0 + -2.368421053 Combine like terms: 2.368421053 + -2.368421053 = 0.000000000 0.000000000 + -2.263157895n + n2 = 0 + -2.368421053 -2.263157895n + n2 = 0 + -2.368421053 Combine like terms: 0 + -2.368421053 = -2.368421053 -2.263157895n + n2 = -2.368421053 The n term is -2.263157895n. Take half its coefficient (-1.131578948). Square it (1.280470916) and add it to both sides. Add '1.280470916' to each side of the equation. -2.263157895n + 1.280470916 + n2 = -2.368421053 + 1.280470916 Reorder the terms: 1.280470916 + -2.263157895n + n2 = -2.368421053 + 1.280470916 Combine like terms: -2.368421053 + 1.280470916 = -1.087950137 1.280470916 + -2.263157895n + n2 = -1.087950137 Factor a perfect square on the left side: (n + -1.131578948)(n + -1.131578948) = -1.087950137 Can't calculate square root of the right side. The solution to this equation could not be determined.
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